Systematic total Routhian surface calculations for even–even N = 104 midshell isotones with 66≤Z≤82 have been carried out based on a more realistic diffuse-surface deformed Woods–Saxon nuclear potential in (β_2, ...Systematic total Routhian surface calculations for even–even N = 104 midshell isotones with 66≤Z≤82 have been carried out based on a more realistic diffuse-surface deformed Woods–Saxon nuclear potential in (β_2, γ, β_4) deformation space, focusing on the rotation-induced shapecoexisting phenomena. As an example and basic test, the oblate property at the ground state in ^(184)Hg is well reproduced and the microscopic origin is analyzed from the single-particle structure. The present calculated results are compared with available experimental information, showing a good agreement. It is systematically found that in this isotonic chain several bands with different shapes(e.g., prolate, oblate and superdeformed prolate bands, seven non-collective band) may show a strong competition and coexisting phenomenon at a certain domain of the rotational frequency.展开更多
The two-dimensional total routhian surface calculations have been carried out to stud）, the triaxial superdeformed structure of a neutron-rich nucleus ^173 Hf firstly. In particular the effects of the rotational freq...The two-dimensional total routhian surface calculations have been carried out to stud）, the triaxial superdeformed structure of a neutron-rich nucleus ^173 Hf firstly. In particular the effects of the rotational frequency ω and pairing-energy gap parameter A are discussed in detail in the course of shaping its triaxial superdeformation; additionally the neutron-shell correction energy is analyzed with emphasis in the confirmed triaxial superdeformed nucleus ^173Hf. Finally, more systematical results have been investigated for some confirmed superdeformed nuclei experimentally and a few predicted triaxial superdeformed nuclei theoretically with quadropole deformation ε2 ≈0.4 and triaxial deformation γ≈20° or 30° in the Z = 72 region.展开更多
Total Routhian surface （TRS） calculations for even-even N = 76 isotones with 54 ≤ Z ≤ 68 have been performed in three-dimensional （β2,γ,β4） deformation space. Calculated results of the equilibrium deformation...Total Routhian surface （TRS） calculations for even-even N = 76 isotones with 54 ≤ Z ≤ 68 have been performed in three-dimensional （β2,γ,β4） deformation space. Calculated results of the equilibrium deformations are presented and compared with other theoretical predictions and available experimental data. The behavior of collective angular momentum shows the neutron rotation-alignment is preferred in the lighter N = 76 isotones, while for the heavier ones the proton alignment is favored. Moreover, multi-pair nucleon alignments and their competition （e.g., in 144Er） are predicted. It is pointed out that these nuclei in the N=76 isotonic chain exhibit triaxiality or γ softness in high-spin states as well as ground states. Based on deformation-energy curves with respect to axial and non-axial quadrupole deformations, the shape instabilities are evaluated in detail and predicted, particularly in γ direction. Such instabilities are also supported by the odd- and even-spin level staggering of the observed γ bands, which is usually used to distinguish between y-rigid and γ-soft asymmetry.展开更多
High-spin yrast structures of even-even superheavy nuclei 254-25SRf are investigated by means of total- Routhian-surface approach in three-dimensional （f12, 7, f14） space. The behavior in the moments of inertia of 2...High-spin yrast structures of even-even superheavy nuclei 254-25SRf are investigated by means of total- Routhian-surface approach in three-dimensional （f12, 7, f14） space. The behavior in the moments of inertia of 256Rf is well reproduced by our calculations, which is attributed to the J15/2 neutron rotation-alignment. The competition between the rotationally aligned ila/2 proton and j15/2 neutron may occur to a large extent in 256Rf. High-spin predictions are also made for its neighboring isotopes 254＇2ssRf, showing that the alignment of the j15/2 neutron pair is more favored than that of the i13/2 proton pair.展开更多
The collective properties along the yrast line in well-deformed even–even ^(164-178)Yb isotopes are investigated by pairing self-consistent total Routhian surface(TRS) calculations and extended E-gamma over spin(EGOS...The collective properties along the yrast line in well-deformed even–even ^(164-178)Yb isotopes are investigated by pairing self-consistent total Routhian surface(TRS) calculations and extended E-gamma over spin(EGOS) curves. The calculated results from ground-state deformations, e.g., β_2, are in agreement with previous theoretical predictions and available experimental data.The basic behaviors of moment of inertia are reproduced by the present TRS calculations and discussed based on the aligned angular momenta. The centipede-like E-GOS curves indicate that the non-rotational components appear along the yrast sequences in these nuclei, which can explain the discrepancy in the moment of inertia between theory and experiment to some extent. The further extended E-GOS curves, which include the first-order rotation–vibration coupling, appear to provide possible evidence of vibrational effects in the well-deformed nuclei of ^(164-178)Yb.展开更多
The motion of a magnetized axisymmetric spacecraft about its center of mass in a circular orbit is considered, taking the gravitational and magnetic effects of the central body into account. Equations of motion of the...The motion of a magnetized axisymmetric spacecraft about its center of mass in a circular orbit is considered, taking the gravitational and magnetic effects of the central body into account. Equations of motion of the reduced system are transformed to equations of plane motion of a charged particle under the action of electric and magnetic fields. Stationary motions of the system are determined and periodic motions near to them are constructed using the Lyapounoff theorem of the holomorphic integral.展开更多
The triaxially superdeformed states in 162Lu are investigated using the three-dimensional total routhian surface calculation, and the deformation parameters and the likely configuration are given. The shell and pairin...The triaxially superdeformed states in 162Lu are investigated using the three-dimensional total routhian surface calculation, and the deformation parameters and the likely configuration are given. The shell and pairing correction energies are considered respectively, and the formation mechanism of triaxial superdeformation is investigated.展开更多
By using Total Routhian Surface （TRS） method the deformation of the nucleus ^160Yb is studied. The result shows that the triaxial superdeformed state exists with deformation parameters ε2 = 0.38 and γ = 21°, ...By using Total Routhian Surface （TRS） method the deformation of the nucleus ^160Yb is studied. The result shows that the triaxial superdeformed state exists with deformation parameters ε2 = 0.38 and γ = 21°, where proton shell correction energy plays a key role, and the sum of two quasi-proton particle energies gives an additional driving effect. The rotational energy also has an additional role in the formation of triaxial superdeformed.展开更多
基金supported by the Natural Science Foundation of China(Nos.11675148 and 11505157)the Project of Youth Backbone Teachers of Colleges and Universities of Henan Province(No.2017GGJS008)+2 种基金the Foundation and Advanced Technology Research Program of Henan Province(No.162300410222)the Outstanding Young Talent Research Fund of Zhengzhou University(No.1521317002)the Physics Research and Development Program of Zhengzhou University(No.32410017)
文摘Systematic total Routhian surface calculations for even–even N = 104 midshell isotones with 66≤Z≤82 have been carried out based on a more realistic diffuse-surface deformed Woods–Saxon nuclear potential in (β_2, γ, β_4) deformation space, focusing on the rotation-induced shapecoexisting phenomena. As an example and basic test, the oblate property at the ground state in ^(184)Hg is well reproduced and the microscopic origin is analyzed from the single-particle structure. The present calculated results are compared with available experimental information, showing a good agreement. It is systematically found that in this isotonic chain several bands with different shapes(e.g., prolate, oblate and superdeformed prolate bands, seven non-collective band) may show a strong competition and coexisting phenomenon at a certain domain of the rotational frequency.
基金supported by National Natural Science Foundation of China under Grant Nos.10575036 and 10575046the Natural Science Foundation of Zhejiang Province of China under Grant Nos.Y604027 and Y605476
文摘The two-dimensional total routhian surface calculations have been carried out to stud）, the triaxial superdeformed structure of a neutron-rich nucleus ^173 Hf firstly. In particular the effects of the rotational frequency ω and pairing-energy gap parameter A are discussed in detail in the course of shaping its triaxial superdeformation; additionally the neutron-shell correction energy is analyzed with emphasis in the confirmed triaxial superdeformed nucleus ^173Hf. Finally, more systematical results have been investigated for some confirmed superdeformed nuclei experimentally and a few predicted triaxial superdeformed nuclei theoretically with quadropole deformation ε2 ≈0.4 and triaxial deformation γ≈20° or 30° in the Z = 72 region.
基金Supported by National Natural Science Foundation of China(10805040,11175217)Foundation and Advanced Technology Rese Program of Henan Province(132300410125)S&T Research Key Program of Henan Province Education Department(13A140667)
文摘Total Routhian surface （TRS） calculations for even-even N = 76 isotones with 54 ≤ Z ≤ 68 have been performed in three-dimensional （β2,γ,β4） deformation space. Calculated results of the equilibrium deformations are presented and compared with other theoretical predictions and available experimental data. The behavior of collective angular momentum shows the neutron rotation-alignment is preferred in the lighter N = 76 isotones, while for the heavier ones the proton alignment is favored. Moreover, multi-pair nucleon alignments and their competition （e.g., in 144Er） are predicted. It is pointed out that these nuclei in the N=76 isotonic chain exhibit triaxiality or γ softness in high-spin states as well as ground states. Based on deformation-energy curves with respect to axial and non-axial quadrupole deformations, the shape instabilities are evaluated in detail and predicted, particularly in γ direction. Such instabilities are also supported by the odd- and even-spin level staggering of the observed γ bands, which is usually used to distinguish between y-rigid and γ-soft asymmetry.
基金Supported by National Natural Science Foundation of China(10805040,11175217)Foundation and Advanced Technology Research Program of Henan Province(132300410125)S&T Research Key Program of Henan Province Education Department(13A140667)
文摘High-spin yrast structures of even-even superheavy nuclei 254-25SRf are investigated by means of total- Routhian-surface approach in three-dimensional （f12, 7, f14） space. The behavior in the moments of inertia of 256Rf is well reproduced by our calculations, which is attributed to the J15/2 neutron rotation-alignment. The competition between the rotationally aligned ila/2 proton and j15/2 neutron may occur to a large extent in 256Rf. High-spin predictions are also made for its neighboring isotopes 254＇2ssRf, showing that the alignment of the j15/2 neutron pair is more favored than that of the i13/2 proton pair.
基金supported by the National Natural Science Foundation of China(No.11675148)the Project of Youth Backbone Teachers of Colleges and Universities of Henan Province(No.2017GGJS008)+1 种基金the Outstanding Young Talent Research Fund of Zhengzhou University(No.1521317002)the Physics Research and Development Program of Zhengzhou University
文摘The collective properties along the yrast line in well-deformed even–even ^(164-178)Yb isotopes are investigated by pairing self-consistent total Routhian surface(TRS) calculations and extended E-gamma over spin(EGOS) curves. The calculated results from ground-state deformations, e.g., β_2, are in agreement with previous theoretical predictions and available experimental data.The basic behaviors of moment of inertia are reproduced by the present TRS calculations and discussed based on the aligned angular momenta. The centipede-like E-GOS curves indicate that the non-rotational components appear along the yrast sequences in these nuclei, which can explain the discrepancy in the moment of inertia between theory and experiment to some extent. The further extended E-GOS curves, which include the first-order rotation–vibration coupling, appear to provide possible evidence of vibrational effects in the well-deformed nuclei of ^(164-178)Yb.
文摘The motion of a magnetized axisymmetric spacecraft about its center of mass in a circular orbit is considered, taking the gravitational and magnetic effects of the central body into account. Equations of motion of the reduced system are transformed to equations of plane motion of a charged particle under the action of electric and magnetic fields. Stationary motions of the system are determined and periodic motions near to them are constructed using the Lyapounoff theorem of the holomorphic integral.
文摘The triaxially superdeformed states in 162Lu are investigated using the three-dimensional total routhian surface calculation, and the deformation parameters and the likely configuration are given. The shell and pairing correction energies are considered respectively, and the formation mechanism of triaxial superdeformation is investigated.
基金The project supported by National Natural Science Foundation of China under Grant Nos.10575036 and 10675046Natural Science Foundation of Zhejiang Province under Grant Nos.Y605476 and Y604027
文摘By using Total Routhian Surface （TRS） method the deformation of the nucleus ^160Yb is studied. The result shows that the triaxial superdeformed state exists with deformation parameters ε2 = 0.38 and γ = 21°, where proton shell correction energy plays a key role, and the sum of two quasi-proton particle energies gives an additional driving effect. The rotational energy also has an additional role in the formation of triaxial superdeformed.
