The dynamical moment of inertia is estimated with its even-power expansion of the rotational frequency and in accordance we determine the intermediate spins of the superdeformed(SD)rotational bands.Using Marquardt met...The dynamical moment of inertia is estimated with its even-power expansion of the rotational frequency and in accordance we determine the intermediate spins of the superdeformed(SD)rotational bands.Using Marquardt method of nonlinear least-squares routines,we determine the expansion coefficients by fitting the proposed dynamical moment of inertia with its recent experimental data of the SD nuclei in the A=190 mass region.The comparison between our theoretical and available experimental data for the dynamic moment of inertia and spin shows good agreements. Also,we have calculated the static moment of inertia at three alternative values of spin.The value of spin at which the two moments of inertia are nearly equals is to be regarded as a bandhead spin of the corresponding band.These studies are carried out for eighteen bands of odd-A nuclei of the superdeformed region 190,namely ~(189)Hg(b1),~(191)Hg(b1,b2, b3,b4),~(193)Hg(b2,b3,b5),~(195)Hg(b1,b2,b3,b4),~(193)Tl(b1,b2,b3,b5),~(189)Tl(b1),and~(197)Bi(b1).We also notice the occurrence of identical SD bands with near identical transition energies among the considered SD bands.展开更多
Short Retraction NoticeThe paper does not meet the standards of "Journal of Applied Mathematics and Physics". This article has been retracted to straighten the academic record. In making this decision the Ed...Short Retraction NoticeThe paper does not meet the standards of "Journal of Applied Mathematics and Physics". This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. The aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.Editor guiding this retraction: Prof. Wen-Xiu Ma (EiC of JAMP)The full retraction notice in PDF is preceding the original paper, which is marked "RETRACTED".展开更多
Research on the pairing phase transition in the odd-A nucleus ^(161)Dy is based on a sophisticated blend of the covariant density functional theory and the shell-model-like approach.It has been observed that variation...Research on the pairing phase transition in the odd-A nucleus ^(161)Dy is based on a sophisticated blend of the covariant density functional theory and the shell-model-like approach.It has been observed that variations in thermodynamic quantities at the critical temperature do not exclusively align with pairing phase transitions.The presence of an S-shaped heat capacity curve,often interpreted as an indicator of such transitions,does not offer a definitive confirmation.Additional factors,including the blocking effect,can modify the heat capacity curve and impede the transition process.The pairing phase transition in ^(161)Dy,which occurs approximately from 0.7 to 1.0 MeV,is unequivocally characterized as a first-order transition.Furthermore,the analysis of the impact of varying strengths of pairing correlations on these transitions reveals a nonlinear relationship,thereby adding complexity to the transition dynamics.展开更多
The isotope shifts（TSs） for the 2s2S（1/2） to 2p2PJ（J = 1/2,3/2） transitions of the lithium nuclei including the stable and short-lived isotopes are calculated based on the multi-configuration Dirac-Hartree-Fock ...The isotope shifts（TSs） for the 2s2S（1/2） to 2p2PJ（J = 1/2,3/2） transitions of the lithium nuclei including the stable and short-lived isotopes are calculated based on the multi-configuration Dirac-Hartree-Fock method and the relativistic configuration interaction approach.The results are in good agreement with the previous theoretical and experimental results within a deviation less than 0.05%.The methods used here could be applied to the IS calculations for other heavier Li-like ions and few-electron systems.展开更多
The calculation for ten even-even nuclei of transitional nuclei Zn,Ge,Se andKr is performed by using KB-Ⅱ matrix elements and deformed Hartree-Fock method,and ensuing solutions of the prolate,oblate and particle-hole...The calculation for ten even-even nuclei of transitional nuclei Zn,Ge,Se andKr is performed by using KB-Ⅱ matrix elements and deformed Hartree-Fock method,and ensuing solutions of the prolate,oblate and particle-hole excited configurations ofthese nuclei are obtained.The results show that there are shape transitions and shapecoexistence in A≈70 nucleus region,the single-particle energy levels are different notonly for different mass numbers of the nuclei but also for different configurations.展开更多
The Bayesian neural network approach has been employed to improve the nuclear magnetic moment predictions of odd-A nuclei.The Schmidt magnetic moment obtained from the extreme single-particle shell model makes large r...The Bayesian neural network approach has been employed to improve the nuclear magnetic moment predictions of odd-A nuclei.The Schmidt magnetic moment obtained from the extreme single-particle shell model makes large root-mean-square(rms)deviations from data,i.e.,0.949μN and 1.272μN for odd-neutron nuclei and odd-proton nuclei,respectively.By including the dependence of the nuclear spin and Schmidt magnetic moment,the machine-learning approach precisely describes the magnetic moments of odd-A uclei with rms deviations of 0.036μN for odd-neutron nuclei and 0.061μN for odd-proton nuclei.Furthermore,the evolution of magnetic moments along isotopic chains,including the staggering and sudden jump trend,which are difficult to describe using nuclear models,have been well reproduced by the Bayesian neural network(BNN)approach.The magnetic moments of doubly closed-shell±1 nuclei,for example,isoscalar and isovector magnetic moments,have been well studied and compared with the corresponding non-relativistic and relativistic calculations.展开更多
-The calculation method for the transitional odd-A nuclei is studied.The theo-retical calculation of the energy level structure of <sup>147</sup>pm and <sup>149</sup>EU is performed bycoupling ...-The calculation method for the transitional odd-A nuclei is studied.The theo-retical calculation of the energy level structure of <sup>147</sup>pm and <sup>149</sup>EU is performed bycoupling the 1+3 quasiparticles to the anharmonic vibration of the core.Aparticle-number-conservation treatment is made by means of the projection method.The effects of the particle-number projection,the three-d-boson excitation and residualinteraction on the lower excited states are discussed.展开更多
A new term was added to the well-known semi-empirical mass formula to account for the changes due to gravitational attraction between nucleons in the liquid drop, as well as, accommodates for the necessary corrections...A new term was added to the well-known semi-empirical mass formula to account for the changes due to gravitational attraction between nucleons in the liquid drop, as well as, accommodates for the necessary corrections in the binding energy of a nucleus. The results of our calculations show a straight forward evidence that the gravitational attraction bears a reasonable contribution to the binding energy. On the other hand, employing the gravitational term in the semi empirical mass formula was led to the calculation of gravitational constant at subnuclear level.展开更多
The low-lying energy levels and electromagnetic transitions of even-even nuclei ^98Zr, ^100Zr, ^102Zr,^104Zr are studied within the framework of the interacting boson model. The Hamiltonian matrix elements and some of...The low-lying energy levels and electromagnetic transitions of even-even nuclei ^98Zr, ^100Zr, ^102Zr,^104Zr are studied within the framework of the interacting boson model. The Hamiltonian matrix elements and some of their states have been respectively analyzed and determined with respect to the current nuclear experimental data. The B（E2） of electromagnetic transitions have also been calculated and the wave function structures also analyzed. The results show good agreement with the available experimental data. The present study shows that these series of nuclei are in the transition from U（5） to SU（3）, namely from vibration to rotation.展开更多
Within the framework of the interacting boson model- 1, the energy levels and electromagnetic transitions in 72-84Kr isotopes are calculated. The structures of the eigenstate and Hamiltonian matrix for some low-lying ...Within the framework of the interacting boson model- 1, the energy levels and electromagnetic transitions in 72-84Kr isotopes are calculated. The structures of the eigenstate and Hamiltonian matrix for some low-lying states are also calculated. The calculated results are compared with available experimental data, and the results are generally in good agreement. The present study shows that the 72,74,76,80,82,84Kr isotopes are in the transition from U（5）→ SU（3）, and 7SKr is in the transition from U（5）→ O（6）.展开更多
文摘The dynamical moment of inertia is estimated with its even-power expansion of the rotational frequency and in accordance we determine the intermediate spins of the superdeformed(SD)rotational bands.Using Marquardt method of nonlinear least-squares routines,we determine the expansion coefficients by fitting the proposed dynamical moment of inertia with its recent experimental data of the SD nuclei in the A=190 mass region.The comparison between our theoretical and available experimental data for the dynamic moment of inertia and spin shows good agreements. Also,we have calculated the static moment of inertia at three alternative values of spin.The value of spin at which the two moments of inertia are nearly equals is to be regarded as a bandhead spin of the corresponding band.These studies are carried out for eighteen bands of odd-A nuclei of the superdeformed region 190,namely ~(189)Hg(b1),~(191)Hg(b1,b2, b3,b4),~(193)Hg(b2,b3,b5),~(195)Hg(b1,b2,b3,b4),~(193)Tl(b1,b2,b3,b5),~(189)Tl(b1),and~(197)Bi(b1).We also notice the occurrence of identical SD bands with near identical transition energies among the considered SD bands.
文摘Short Retraction NoticeThe paper does not meet the standards of "Journal of Applied Mathematics and Physics". This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. The aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.Editor guiding this retraction: Prof. Wen-Xiu Ma (EiC of JAMP)The full retraction notice in PDF is preceding the original paper, which is marked "RETRACTED".
基金Supported by the National Natural Science Foundation of China(11775099)the Jiangnan University Basic Research Program(JUSRP202406002)。
文摘Research on the pairing phase transition in the odd-A nucleus ^(161)Dy is based on a sophisticated blend of the covariant density functional theory and the shell-model-like approach.It has been observed that variations in thermodynamic quantities at the critical temperature do not exclusively align with pairing phase transitions.The presence of an S-shaped heat capacity curve,often interpreted as an indicator of such transitions,does not offer a definitive confirmation.Additional factors,including the blocking effect,can modify the heat capacity curve and impede the transition process.The pairing phase transition in ^(161)Dy,which occurs approximately from 0.7 to 1.0 MeV,is unequivocally characterized as a first-order transition.Furthermore,the analysis of the impact of varying strengths of pairing correlations on these transitions reveals a nonlinear relationship,thereby adding complexity to the transition dynamics.
基金Project supported by the Young Scientists Fund of the National Natural Science Foundation of China(Grant No.11304093)the Fund of the Scientific Research Foundation of Sichuan Provincial Department of Education,China(Grant No.15ZB0386)the Fund of the 1315 Project of Chengdu University,China(GrantNo.2081915041)
文摘The isotope shifts（TSs） for the 2s2S（1/2） to 2p2PJ（J = 1/2,3/2） transitions of the lithium nuclei including the stable and short-lived isotopes are calculated based on the multi-configuration Dirac-Hartree-Fock method and the relativistic configuration interaction approach.The results are in good agreement with the previous theoretical and experimental results within a deviation less than 0.05%.The methods used here could be applied to the IS calculations for other heavier Li-like ions and few-electron systems.
文摘The calculation for ten even-even nuclei of transitional nuclei Zn,Ge,Se andKr is performed by using KB-Ⅱ matrix elements and deformed Hartree-Fock method,and ensuing solutions of the prolate,oblate and particle-hole excited configurations ofthese nuclei are obtained.The results show that there are shape transitions and shapecoexistence in A≈70 nucleus region,the single-particle energy levels are different notonly for different mass numbers of the nuclei but also for different configurations.
基金Supported by the National Natural Science Foundation of China(11675063,11875070,11205068)the Open fund for Discipline Construction,Institute of Physical Science and Information Technology,Anhui University。
文摘The Bayesian neural network approach has been employed to improve the nuclear magnetic moment predictions of odd-A nuclei.The Schmidt magnetic moment obtained from the extreme single-particle shell model makes large root-mean-square(rms)deviations from data,i.e.,0.949μN and 1.272μN for odd-neutron nuclei and odd-proton nuclei,respectively.By including the dependence of the nuclear spin and Schmidt magnetic moment,the machine-learning approach precisely describes the magnetic moments of odd-A uclei with rms deviations of 0.036μN for odd-neutron nuclei and 0.061μN for odd-proton nuclei.Furthermore,the evolution of magnetic moments along isotopic chains,including the staggering and sudden jump trend,which are difficult to describe using nuclear models,have been well reproduced by the Bayesian neural network(BNN)approach.The magnetic moments of doubly closed-shell±1 nuclei,for example,isoscalar and isovector magnetic moments,have been well studied and compared with the corresponding non-relativistic and relativistic calculations.
基金The project supported in part by National Natural Science Foundation of China and by the Grant LWTZ 1298 of Academia Sinica.
文摘-The calculation method for the transitional odd-A nuclei is studied.The theo-retical calculation of the energy level structure of <sup>147</sup>pm and <sup>149</sup>EU is performed bycoupling the 1+3 quasiparticles to the anharmonic vibration of the core.Aparticle-number-conservation treatment is made by means of the projection method.The effects of the particle-number projection,the three-d-boson excitation and residualinteraction on the lower excited states are discussed.
文摘A new term was added to the well-known semi-empirical mass formula to account for the changes due to gravitational attraction between nucleons in the liquid drop, as well as, accommodates for the necessary corrections in the binding energy of a nucleus. The results of our calculations show a straight forward evidence that the gravitational attraction bears a reasonable contribution to the binding energy. On the other hand, employing the gravitational term in the semi empirical mass formula was led to the calculation of gravitational constant at subnuclear level.
基金Supported by National Natural Science Foundation of China (11165001, 11205079)
文摘The low-lying energy levels and electromagnetic transitions of even-even nuclei ^98Zr, ^100Zr, ^102Zr,^104Zr are studied within the framework of the interacting boson model. The Hamiltonian matrix elements and some of their states have been respectively analyzed and determined with respect to the current nuclear experimental data. The B（E2） of electromagnetic transitions have also been calculated and the wave function structures also analyzed. The results show good agreement with the available experimental data. The present study shows that these series of nuclei are in the transition from U（5） to SU（3）, namely from vibration to rotation.
基金Supported by NSFC(11465001,11165001)Natural Science Foundation of Inner Mongolia of China(2013MS0117)
文摘Within the framework of the interacting boson model- 1, the energy levels and electromagnetic transitions in 72-84Kr isotopes are calculated. The structures of the eigenstate and Hamiltonian matrix for some low-lying states are also calculated. The calculated results are compared with available experimental data, and the results are generally in good agreement. The present study shows that the 72,74,76,80,82,84Kr isotopes are in the transition from U（5）→ SU（3）, and 7SKr is in the transition from U（5）→ O（6）.
