The main colors of the Forbidden City are Red and Yellow,which can represent rich cultural deposits.According to the Chinese traditional culture,the Red of the Forbidden City has always been regarded as a positive col...The main colors of the Forbidden City are Red and Yellow,which can represent rich cultural deposits.According to the Chinese traditional culture,the Red of the Forbidden City has always been regarded as a positive color of celebration,conveying dignity and happiness.The Yellow color is usually considered as a promising color,and represents a bumper harvest.Based on the principle of the Five Elements,Fire is red,which means breeding and encouragement,and shows prosperity and a solid foundation for the country.Yellow represents Winged Dragon,belonging to the Center of the Earth,and symbolizes the divine right of emperors.Therefore,the color of the Forbidden City(see Figure 1)is of great significance to the development of history and the revival of culture.We still need to work determinedly for the protection of the cultural heritages,so that more people can have the opportunity to understand the brilliance of Chinese civilization.展开更多
The forbidden pitch "dip" in the critical dimension (CD) through the pitch curve is a well-known optical proximity effect. The CD and CD process window near the "dip",usually found near a pitch range of 1.1 to 1...The forbidden pitch "dip" in the critical dimension (CD) through the pitch curve is a well-known optical proximity effect. The CD and CD process window near the "dip",usually found near a pitch range of 1.1 to 1.4 wavelength/ NA (numerical aperture),is smaller when compared with other pitches. This is caused by inadequate imaging contrast for an unequal line and space grating. Although this effect is relatively well-known, its relationship with typical process condition parameters,such as the effective image blur caused by the photo-acid diffusion during the post exposure bake or the aberration in the imaging lens, has not been systematically studied. In this paper, we will examine the correlation between the image blur and the effect on the CD, including the decrease in the CD value (the depth of the "dip") and the CD process window. We find that both the decrease in the CD value and the focus latitude near the forbidden pitch correlate very well with the effective Gaussian image blur. Longer effective diffusion length correlates well with a smaller process window and a deeper CD "dip". We conclude that the dip depth is very sensitive to the change in image contrast.展开更多
We consider the resumable version of the two-agent single machine scheduling prob- lems with forbidden intervals in which the jobs cannot be processed. The goal is to minimize the sum of the objective functions of the...We consider the resumable version of the two-agent single machine scheduling prob- lems with forbidden intervals in which the jobs cannot be processed. The goal is to minimize the sum of the objective functions of the two agents. Polynomial and pseudo-polynomial time algorithms are presented for various combinations of regular scheduling objective functions.展开更多
Based on forbidden patterns in symbolic dynamics, symbolic subsequences are classified and relations between forbidden patterns, correlation dimensions and complexity measures are studied. A complexity measure approac...Based on forbidden patterns in symbolic dynamics, symbolic subsequences are classified and relations between forbidden patterns, correlation dimensions and complexity measures are studied. A complexity measure approach is proposed in order to separate deterministic (usually chaotic) series from random ones and measure the complexities of different dynamic systems. The complexity is related to the correlation dimensions, and the algorithm is simple and suitable for time series with noise. In the paper, the complexity measure method is used to study dynamic systems of the Logistic map and the Henon map with multi-parameters.展开更多
Based on relativistic wave functions from multiconfiguration Dirac-Hartree-Fock and configuration interaction cal- culations, E2 and M1 transition probabilities of 2p3 4S3/2-2p3 2D3/2,5/2 are investigated in the nitro...Based on relativistic wave functions from multiconfiguration Dirac-Hartree-Fock and configuration interaction cal- culations, E2 and M1 transition probabilities of 2p3 4S3/2-2p3 2D3/2,5/2 are investigated in the nitrogen-like sequence with 7 〈 Z 〈 16. The contributions of the electron correlations, Breit interaction, and the quantum electrodynamic (QED) effects on the transition properties are analyzed. The present results can be used for diagnosing plasma. In addition, several N-like ions can also be recommended as a promising candidate for a highly charged ion (HCI) clock with a quality factor (Q) of trnnsition as hitch as 1020.展开更多
By applying systematically enlarged multi-configuration Dirac-Fock wavefunction, the transitions for electricdipole allowed (E1) and forbidden (E2, M1 and M2) lines are studied among 4f pair coupling and low-lying...By applying systematically enlarged multi-configuration Dirac-Fock wavefunction, the transitions for electricdipole allowed (E1) and forbidden (E2, M1 and M2) lines are studied among 4f pair coupling and low-lying configurations for singly ionized nitrogen. Most important effects of relativity, electron correlation, the rearrangement of electron density, Breit interaction, and quantum electrodynamic effects are included in the computation. Then, allowed (E1) and forbidden (E2, M1 and M2) transition probabilities of 4f for N+ are obtained and compared with experimental results. Good agreement with available experimental results is found and most of the data of 4f are presented for the first time.展开更多
Excitation energies, magnetic dipole, and electric quadrupole transition probabilities of the 3d ^2D3/2-3d ^2D5/2 transition in the potassium-like (K-like) sequence with 26 ≤ Z ≤ 36 are investigated by using the m...Excitation energies, magnetic dipole, and electric quadrupole transition probabilities of the 3d ^2D3/2-3d ^2D5/2 transition in the potassium-like (K-like) sequence with 26 ≤ Z ≤ 36 are investigated by using the multi-configuration Dirac-Hartree-Fock (MCDHF) method. The contributions of the electron correlations, Breit interaction, and the leading-order quantum electrodynamic (QED) effects on the transition properties are analyzed. The present results are interested in the laboratory tokamak and the astronomical observations. Furthermore, the feasibility of these ions for the highly charged ion (HCI) clocks is discussed. Considering the wavelength of lasers and manipulation process of the atomic clocks, Cu^10+ and Zn^11+ are recommended as promising candidates with achievable quality factors at the 10^15 level.展开更多
This paper investigates the optimal control problem of spacecraft reorientation subject to attitude forbidden constraints,angular velocity saturation and actuator saturation simultaneously.A second-order cone programm...This paper investigates the optimal control problem of spacecraft reorientation subject to attitude forbidden constraints,angular velocity saturation and actuator saturation simultaneously.A second-order cone programming(SOCP)technology is developed to solve the strong nonlinear and non-convex control problem in real time.Specifically,the nonlinear attitude kinematic and dynamic are transformed and relaxed to a standard affine system,and linearization and L1 penalty technique are adopted to convexify non-convex inequality constraints.With the proposed quadratic performance index of angular velocity,the optimal control solution is obtained with high accuracy using the successive SOCP algorithm.Finally,the effectiveness of the algorithm is validated by numerical simulation.展开更多
The Palace Museum in Beijing, which is also known as the Forbidden City, was China s imperial palace from 1420 to 1911. Visitors who visiting the Palace Museum over 2019 Spring Festival will find something new and war...The Palace Museum in Beijing, which is also known as the Forbidden City, was China s imperial palace from 1420 to 1911. Visitors who visiting the Palace Museum over 2019 Spring Festival will find something new and warm the moment they step through its front gate.展开更多
Ancient mechanical clocks and automatons are solid evidence regarding the evolution of technological development.At least four ingenious eighteenth-century clocks with pagoda automatons are preserved in the Palace Mus...Ancient mechanical clocks and automatons are solid evidence regarding the evolution of technological development.At least four ingenious eighteenth-century clocks with pagoda automatons are preserved in the Palace Museum in Beijing.Two were made in China,the other two in Britain.Although the internal mechanical components were maintained and recorded in the late twentieth century,their mechanism structure is mostly not made available to the public owing to the historical value of these artefacts.This study introduces feasible mechanism structures for the four pagoda automatons based on published works,along with considerations of mechanical design.Five subsystems of the clocks are analyzed,and two mechanisms of the pagoda automaton are illustrated.In particular,feasible mechanisms of the four pagoda automatons for raising their stories are explained.The analysis procedure presented in this paper expands the feasibility of reconstruction work on ancient mechanisms with unknown structures.展开更多
THE Palace Museum,also known as the Forbidden City,was the setting last November 28 of the inaugural Dialogue on Exchanges and Mutual Learning among Civilizations:2019 Talks in the Forbidden City.Organized by the Chin...THE Palace Museum,also known as the Forbidden City,was the setting last November 28 of the inaugural Dialogue on Exchanges and Mutual Learning among Civilizations:2019 Talks in the Forbidden City.Organized by the Chinese Association for International Understanding(CAFIU),the event was attended by political heavyweights,scholars,artists,and cultural celebrities from across the globe.展开更多
THE year 2020 marks the 600th anniversary of the completion of the Forbidden City and is the 95th anniversary of the establishment of the Palace Museum.The Palace Museum,in addition to being the epitome of ancient Chi...THE year 2020 marks the 600th anniversary of the completion of the Forbidden City and is the 95th anniversary of the establishment of the Palace Museum.The Palace Museum,in addition to being the epitome of ancient Chinese urban construction and palace building design,is a material carrier of the tradition of Chinese rituals and music and their long history.From the Forbidden City,a symbol of royal power,to the Palace Museum,which is open to the public,what is the past and present story of this place?展开更多
BERNARDO Bertolucci’s film, The Last Emperor, drew its Western audience into a mystic, grandiose, oriental palace that was the Forbidden City, leaving them awestruck at the
The feasibility of spin-forbidden cooling of the In H molecule is investigated based on ab initio quantum chemistry calculations. The potential energy curves for the X^1Σ0^+^+, a^3Π0-, a^3Π0^+, a^3Π1, a-3Π2, ...The feasibility of spin-forbidden cooling of the In H molecule is investigated based on ab initio quantum chemistry calculations. The potential energy curves for the X^1Σ0^+^+, a^3Π0-, a^3Π0^+, a^3Π1, a-3Π2, A-1Π1, 1-3Σ^0^-+, and 1-3Σ1-+states of In H are obtained based on multi-reference configuration interaction plus the Davidson corrections method. The calculated spectroscopic constants are in good agreement with the available experimental data. In addition, the influences of the active space and spin–orbit coupling effects on the potential energy curves and spectroscopic constants are also studied. For Re of a^3Π0^-, a^3Π0^+, a^3Π1, and a-3Π2 states, the error from large active space is small. The potential energy curve of the A-1Π1state is not smooth for small active space. The spin–orbit coupling effects have great influences on the potential well depth and equilibrium internuclear distance of the A-1Π state. The Franck–Condon factors and radiative lifetimes are obtained on the basis of the transition dipole moments of the a^3Π0^+)→ X^1Σ0^+^+, a-3Π1 → X-1Σ0^+-+, and A-1Π1 → X-1Σ0^+^+ transitions. Our calculation indicates that the a^3Π1( ν'= 0) → X-1Σ0^+^+(ν = 0) transition provides a highly diagonally distributed Franck–Condon factor and a short radiative lifetime for the a3Π1 state, which can ensure rapid and efficient laser cooling of In H.The proposed laser drives a-3Π1 → X-1Σ0^+^+ transitions by using three wavelengths.展开更多
Notes:1.The Old Forbidden city refersto the former inperial palace of theMing Dynasty.Now the site hasbecome a park open to he public.2.Nanjing was called Moling inthe Qin Dynasty.3.Phoenix-patterned banners refer to ...Notes:1.The Old Forbidden city refersto the former inperial palace of theMing Dynasty.Now the site hasbecome a park open to he public.2.Nanjing was called Moling inthe Qin Dynasty.3.Phoenix-patterned banners refer to the banners on chariots used by the Qing emperors.4.The Yin(Shang)Dynasty overthrew the Xia Dynasty,but later was overthrown by the Zhou Dynasty.Here the poet warns his descendants that they should take a展开更多
Forbidden lines of highly charged ions(HCIs)have attracted attention for many years in various aspects.Magnetic dipole transition(M1)in the 4p^(23)P fine-structure manifold of Rh^(13+)was proposed as a candidate for t...Forbidden lines of highly charged ions(HCIs)have attracted attention for many years in various aspects.Magnetic dipole transition(M1)in the 4p^(23)P fine-structure manifold of Rh^(13+)was proposed as a candidate for the ultraprecise optical clock transition due to the low degeneracy of the clock levels and the suppression of relevant quadrupole shifts.Such transition possessing optical transitions with very narrow natural width and less susceptibility to external field perturbations.展开更多
Key nuclear inputs for the astrophysical r-process simulations are the weak interaction rates.Consequently,the accuracy of these inputs directly affects the reliability of nucleosynthesis modeling.The majority of the ...Key nuclear inputs for the astrophysical r-process simulations are the weak interaction rates.Consequently,the accuracy of these inputs directly affects the reliability of nucleosynthesis modeling.The majority of the stellar rates,used in simulation studies are calculated by invoking the Brink-Axel(BA)hypothesis.The BA hypothesis assumes that the strength functions of all parent excited states are the same as for the ground state,only shifted in energies.However,the BA hypothesis has to be tested against microscopically calculated state-by-state rates.In this project,we study the impact of the BA hypothesis on calculated stellarβ^(-)-decay and electron capture rates.Our investigation include both unique first forbidden(U1F)and allowed transitions for 106 neutron-rich trans-iron nuclei([27,77]≤[Z,A]≤[82,208]).The calculations were performed using the deformed proton-neutron quasiparticle random-phase approximation(pn-QRPA)model with a simple plus quadrupole separable and schematic interaction.Waiting-point and several key r-process nuclei lie within the considered mass region of the nuclear chart.We computed electron capture andβ^(-)-decay rates using two different prescriptions for strength functions.One was based on invoking the BA hypothesis and the other was the state-by-state calculation of strength functions,under stellar density and temperature conditions([10,1]≤[ρYe(g/cm^(3)),T(GK)]≤[10^(11),30]).Our results show that the BA hypothesis invoked U1Fβ^(-)rates are overestimated by 4–5 orders of magnitude as compared to microscopic rates.For capture rates,more than two orders of magnitude differences were noted when applying the BA hypothesis.It was concluded that the BA hypothesis is not a reliable approximation,especially forβ^(-)-decay forbidden transitions.展开更多
Monsters in the Forbidden City,containing 18 books,is the frst set of fairy tales about the Palace Museum from a child's perspective.The story starts with a magical gem earring picked up by pupil Li Xiaoyu at the ...Monsters in the Forbidden City,containing 18 books,is the frst set of fairy tales about the Palace Museum from a child's perspective.The story starts with a magical gem earring picked up by pupil Li Xiaoyu at the Palace Museum.With the magic of the"Cave Light Gem,"Li Xiaoyu heard the talks of the monsters and fairies,who had lived in the Palace Museum for hundreds of years and experienced many breathtaking stories.展开更多
文摘The main colors of the Forbidden City are Red and Yellow,which can represent rich cultural deposits.According to the Chinese traditional culture,the Red of the Forbidden City has always been regarded as a positive color of celebration,conveying dignity and happiness.The Yellow color is usually considered as a promising color,and represents a bumper harvest.Based on the principle of the Five Elements,Fire is red,which means breeding and encouragement,and shows prosperity and a solid foundation for the country.Yellow represents Winged Dragon,belonging to the Center of the Earth,and symbolizes the divine right of emperors.Therefore,the color of the Forbidden City(see Figure 1)is of great significance to the development of history and the revival of culture.We still need to work determinedly for the protection of the cultural heritages,so that more people can have the opportunity to understand the brilliance of Chinese civilization.
文摘The forbidden pitch "dip" in the critical dimension (CD) through the pitch curve is a well-known optical proximity effect. The CD and CD process window near the "dip",usually found near a pitch range of 1.1 to 1.4 wavelength/ NA (numerical aperture),is smaller when compared with other pitches. This is caused by inadequate imaging contrast for an unequal line and space grating. Although this effect is relatively well-known, its relationship with typical process condition parameters,such as the effective image blur caused by the photo-acid diffusion during the post exposure bake or the aberration in the imaging lens, has not been systematically studied. In this paper, we will examine the correlation between the image blur and the effect on the CD, including the decrease in the CD value (the depth of the "dip") and the CD process window. We find that both the decrease in the CD value and the focus latitude near the forbidden pitch correlate very well with the effective Gaussian image blur. Longer effective diffusion length correlates well with a smaller process window and a deeper CD "dip". We conclude that the dip depth is very sensitive to the change in image contrast.
基金Supported by National Natural Science Foundation of China(11401604,11401605,11271338,11326191)National Natural Science Foundation of Henan(132300410392)the Ph.D Programs Foundation of Ministry of Education of China(20111401110005)
文摘We consider the resumable version of the two-agent single machine scheduling prob- lems with forbidden intervals in which the jobs cannot be processed. The goal is to minimize the sum of the objective functions of the two agents. Polynomial and pseudo-polynomial time algorithms are presented for various combinations of regular scheduling objective functions.
基金Project supported by the National Natural Science Foundation of China (Grant No.10871168)
文摘Based on forbidden patterns in symbolic dynamics, symbolic subsequences are classified and relations between forbidden patterns, correlation dimensions and complexity measures are studied. A complexity measure approach is proposed in order to separate deterministic (usually chaotic) series from random ones and measure the complexities of different dynamic systems. The complexity is related to the correlation dimensions, and the algorithm is simple and suitable for time series with noise. In the paper, the complexity measure method is used to study dynamic systems of the Logistic map and the Henon map with multi-parameters.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11604385 and 91436103)
文摘Based on relativistic wave functions from multiconfiguration Dirac-Hartree-Fock and configuration interaction cal- culations, E2 and M1 transition probabilities of 2p3 4S3/2-2p3 2D3/2,5/2 are investigated in the nitrogen-like sequence with 7 〈 Z 〈 16. The contributions of the electron correlations, Breit interaction, and the quantum electrodynamic (QED) effects on the transition properties are analyzed. The present results can be used for diagnosing plasma. In addition, several N-like ions can also be recommended as a promising candidate for a highly charged ion (HCI) clock with a quality factor (Q) of trnnsition as hitch as 1020.
基金Project supported by the Foundation of Handan College,China (Grant No. 09005)the National Natural Science Foundation of China (Grant No. 40475007)
文摘By applying systematically enlarged multi-configuration Dirac-Fock wavefunction, the transitions for electricdipole allowed (E1) and forbidden (E2, M1 and M2) lines are studied among 4f pair coupling and low-lying configurations for singly ionized nitrogen. Most important effects of relativity, electron correlation, the rearrangement of electron density, Breit interaction, and quantum electrodynamic effects are included in the computation. Then, allowed (E1) and forbidden (E2, M1 and M2) transition probabilities of 4f for N+ are obtained and compared with experimental results. Good agreement with available experimental results is found and most of the data of 4f are presented for the first time.
基金supported by the National Natural Science Foundation of China(Grant Nos.91436103,91536102,and 91336211)the Research Programme of National University of Defense Technology,China(Grant No.JC15-0203)the Strategic Priority Research Programme of the Chinese Academy of Sciences(Grant No.XDB21030300)
文摘Excitation energies, magnetic dipole, and electric quadrupole transition probabilities of the 3d ^2D3/2-3d ^2D5/2 transition in the potassium-like (K-like) sequence with 26 ≤ Z ≤ 36 are investigated by using the multi-configuration Dirac-Hartree-Fock (MCDHF) method. The contributions of the electron correlations, Breit interaction, and the leading-order quantum electrodynamic (QED) effects on the transition properties are analyzed. The present results are interested in the laboratory tokamak and the astronomical observations. Furthermore, the feasibility of these ions for the highly charged ion (HCI) clocks is discussed. Considering the wavelength of lasers and manipulation process of the atomic clocks, Cu^10+ and Zn^11+ are recommended as promising candidates with achievable quality factors at the 10^15 level.
基金This work was supported by the National Natural Science Foundation of China(Nos.61960206011,61633003)the Beijing Natural Science Foundation(No.JQ19017)。
文摘This paper investigates the optimal control problem of spacecraft reorientation subject to attitude forbidden constraints,angular velocity saturation and actuator saturation simultaneously.A second-order cone programming(SOCP)technology is developed to solve the strong nonlinear and non-convex control problem in real time.Specifically,the nonlinear attitude kinematic and dynamic are transformed and relaxed to a standard affine system,and linearization and L1 penalty technique are adopted to convexify non-convex inequality constraints.With the proposed quadratic performance index of angular velocity,the optimal control solution is obtained with high accuracy using the successive SOCP algorithm.Finally,the effectiveness of the algorithm is validated by numerical simulation.
文摘The Palace Museum in Beijing, which is also known as the Forbidden City, was China s imperial palace from 1420 to 1911. Visitors who visiting the Palace Museum over 2019 Spring Festival will find something new and warm the moment they step through its front gate.
基金the collaborative research program between the Science Museum in London,Beijing Jiaotong University,and the Institute for the History of Natural Sciences(Chinese Academy of Sciences)on“Time,Culture and Identity:The Co-Creation of Historical Research and Co-Development of Visitor Experience in China and the UK”supported by the UK’s Arts and Humanities Research Council
文摘Ancient mechanical clocks and automatons are solid evidence regarding the evolution of technological development.At least four ingenious eighteenth-century clocks with pagoda automatons are preserved in the Palace Museum in Beijing.Two were made in China,the other two in Britain.Although the internal mechanical components were maintained and recorded in the late twentieth century,their mechanism structure is mostly not made available to the public owing to the historical value of these artefacts.This study introduces feasible mechanism structures for the four pagoda automatons based on published works,along with considerations of mechanical design.Five subsystems of the clocks are analyzed,and two mechanisms of the pagoda automaton are illustrated.In particular,feasible mechanisms of the four pagoda automatons for raising their stories are explained.The analysis procedure presented in this paper expands the feasibility of reconstruction work on ancient mechanisms with unknown structures.
文摘THE Palace Museum,also known as the Forbidden City,was the setting last November 28 of the inaugural Dialogue on Exchanges and Mutual Learning among Civilizations:2019 Talks in the Forbidden City.Organized by the Chinese Association for International Understanding(CAFIU),the event was attended by political heavyweights,scholars,artists,and cultural celebrities from across the globe.
文摘THE year 2020 marks the 600th anniversary of the completion of the Forbidden City and is the 95th anniversary of the establishment of the Palace Museum.The Palace Museum,in addition to being the epitome of ancient Chinese urban construction and palace building design,is a material carrier of the tradition of Chinese rituals and music and their long history.From the Forbidden City,a symbol of royal power,to the Palace Museum,which is open to the public,what is the past and present story of this place?
文摘BERNARDO Bertolucci’s film, The Last Emperor, drew its Western audience into a mystic, grandiose, oriental palace that was the Forbidden City, leaving them awestruck at the
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11104217 and 11402199)the Program for New Scientific and Technological Star of Shaanxi Province,China(Grant No.2012KJXX-39)
文摘The feasibility of spin-forbidden cooling of the In H molecule is investigated based on ab initio quantum chemistry calculations. The potential energy curves for the X^1Σ0^+^+, a^3Π0-, a^3Π0^+, a^3Π1, a-3Π2, A-1Π1, 1-3Σ^0^-+, and 1-3Σ1-+states of In H are obtained based on multi-reference configuration interaction plus the Davidson corrections method. The calculated spectroscopic constants are in good agreement with the available experimental data. In addition, the influences of the active space and spin–orbit coupling effects on the potential energy curves and spectroscopic constants are also studied. For Re of a^3Π0^-, a^3Π0^+, a^3Π1, and a-3Π2 states, the error from large active space is small. The potential energy curve of the A-1Π1state is not smooth for small active space. The spin–orbit coupling effects have great influences on the potential well depth and equilibrium internuclear distance of the A-1Π state. The Franck–Condon factors and radiative lifetimes are obtained on the basis of the transition dipole moments of the a^3Π0^+)→ X^1Σ0^+^+, a-3Π1 → X-1Σ0^+-+, and A-1Π1 → X-1Σ0^+^+ transitions. Our calculation indicates that the a^3Π1( ν'= 0) → X-1Σ0^+^+(ν = 0) transition provides a highly diagonally distributed Franck–Condon factor and a short radiative lifetime for the a3Π1 state, which can ensure rapid and efficient laser cooling of In H.The proposed laser drives a-3Π1 → X-1Σ0^+^+ transitions by using three wavelengths.
文摘Notes:1.The Old Forbidden city refersto the former inperial palace of theMing Dynasty.Now the site hasbecome a park open to he public.2.Nanjing was called Moling inthe Qin Dynasty.3.Phoenix-patterned banners refer to the banners on chariots used by the Qing emperors.4.The Yin(Shang)Dynasty overthrew the Xia Dynasty,but later was overthrown by the Zhou Dynasty.Here the poet warns his descendants that they should take a
基金National Natural Science Foundation of China(12275328,11874008,11674333,U1732140,U1832126)。
文摘Forbidden lines of highly charged ions(HCIs)have attracted attention for many years in various aspects.Magnetic dipole transition(M1)in the 4p^(23)P fine-structure manifold of Rh^(13+)was proposed as a candidate for the ultraprecise optical clock transition due to the low degeneracy of the clock levels and the suppression of relevant quadrupole shifts.Such transition possessing optical transitions with very narrow natural width and less susceptibility to external field perturbations.
基金supported by the Higher Education Commission Pakistan through Project (0-15394/NRPU/R&D/HEC/2021)。
文摘Key nuclear inputs for the astrophysical r-process simulations are the weak interaction rates.Consequently,the accuracy of these inputs directly affects the reliability of nucleosynthesis modeling.The majority of the stellar rates,used in simulation studies are calculated by invoking the Brink-Axel(BA)hypothesis.The BA hypothesis assumes that the strength functions of all parent excited states are the same as for the ground state,only shifted in energies.However,the BA hypothesis has to be tested against microscopically calculated state-by-state rates.In this project,we study the impact of the BA hypothesis on calculated stellarβ^(-)-decay and electron capture rates.Our investigation include both unique first forbidden(U1F)and allowed transitions for 106 neutron-rich trans-iron nuclei([27,77]≤[Z,A]≤[82,208]).The calculations were performed using the deformed proton-neutron quasiparticle random-phase approximation(pn-QRPA)model with a simple plus quadrupole separable and schematic interaction.Waiting-point and several key r-process nuclei lie within the considered mass region of the nuclear chart.We computed electron capture andβ^(-)-decay rates using two different prescriptions for strength functions.One was based on invoking the BA hypothesis and the other was the state-by-state calculation of strength functions,under stellar density and temperature conditions([10,1]≤[ρYe(g/cm^(3)),T(GK)]≤[10^(11),30]).Our results show that the BA hypothesis invoked U1Fβ^(-)rates are overestimated by 4–5 orders of magnitude as compared to microscopic rates.For capture rates,more than two orders of magnitude differences were noted when applying the BA hypothesis.It was concluded that the BA hypothesis is not a reliable approximation,especially forβ^(-)-decay forbidden transitions.
文摘Monsters in the Forbidden City,containing 18 books,is the frst set of fairy tales about the Palace Museum from a child's perspective.The story starts with a magical gem earring picked up by pupil Li Xiaoyu at the Palace Museum.With the magic of the"Cave Light Gem,"Li Xiaoyu heard the talks of the monsters and fairies,who had lived in the Palace Museum for hundreds of years and experienced many breathtaking stories.