基于球形与轴对称形变的相对论平均场(Relativistic Mean Field,简称RMF)理论模型,分别计算了Zr同位素链的基态总能量,并根据其差值提取了形变修正能后发现,Zr同位素链丰中子区的核具有大的长椭形变,对应的形变修正能可达到10MeV。利用...基于球形与轴对称形变的相对论平均场(Relativistic Mean Field,简称RMF)理论模型,分别计算了Zr同位素链的基态总能量,并根据其差值提取了形变修正能后发现,Zr同位素链丰中子区的核具有大的长椭形变,对应的形变修正能可达到10MeV。利用RMF理论计算的基态能量,在扣除液滴模型计算的结合能后,得到了Zr同位素链的壳修正能。通过对壳修正能的分析后发现,形变使N=50壳效应显著减弱。特别是在丰中子区,大形变导致了N=50壳结构的消失。展开更多
Magnetic rotation and antimagnetic rotation are exotic rotational phenomena observed in weakly deformed or near-spherical nuclei, which are respectively interpreted in terms of the shears mechanism and two shearslike ...Magnetic rotation and antimagnetic rotation are exotic rotational phenomena observed in weakly deformed or near-spherical nuclei, which are respectively interpreted in terms of the shears mechanism and two shearslike mechanism. Since their observations, magnetic rotation and antimagnetic rotation phenomena have been mainly investigated in the framework of tilted axis cranking based on the pairing plus quadrupole model. For the last decades, the covariant density functional theory and its extension have been proved to be successful in describing series of nuclear ground-states and excited states properties, including the binding energies, radii, single-particle spectra, reso- nance states, halo phenomena, magnetic moments, magnetic rotation, low-lying excitations, shape phase transitions, collective rotation and vibrations, etc. This review will mainly focus on the tilted axis cranking covariant density functional theory and its application for the magnetic rotation and antimagnetic rotation phenomena.展开更多
The α-cluster structures for 12C and 16O are investigated in the framework of the covariant density functional theory,where the pairing correlation is treated with a particle number conserving shell-model-like approa...The α-cluster structures for 12C and 16O are investigated in the framework of the covariant density functional theory,where the pairing correlation is treated with a particle number conserving shell-model-like approach.The ground states of 12 C and 16 O have been calculated and the density distributions demonstrate an equilateral triangle 3α clustering for 12 C and a regular tetrahedron 4α clustering for 16O.The existence of linear nα chain structure of both 12C and 16O is revealed at high quadrupole deformation.展开更多
The pseudospin symmetry(PSS) limits which conserve substantial spin-orbit splitting are investigated.It is found that while the strength of the spin-orbit potential as well as the spin-orbit splitting increase,the pse...The pseudospin symmetry(PSS) limits which conserve substantial spin-orbit splitting are investigated.It is found that while the strength of the spin-orbit potential as well as the spin-orbit splitting increase,the pseudospin doublets,e.g.,2p3/2 and 1f5/2 states,are always degenerate.Furthermore,by examining the perturbation corrections to the single-particle energies,the perturbative nature of the proposed PSS limits is also discussed.展开更多
The effects of pairing correlation in Yb isotopes are investigated by covariant density functional theory with pairing correlations and blocking effects treated exactly by a shell model like approach(SLAP). Experiment...The effects of pairing correlation in Yb isotopes are investigated by covariant density functional theory with pairing correlations and blocking effects treated exactly by a shell model like approach(SLAP). Experimental one- and two-neutron separation energies are reproduced quite well. The traditional BCS calculations always give larger pairing energies than those given by SLAP calculations, particularly for the nuclei near the proton and neutron drip lines. This may be caused because many of the single particle orbits above the Fermi surface are involved in the BCS calculations, but many of them are excluded in the SLAP calculations.展开更多
文摘基于球形与轴对称形变的相对论平均场(Relativistic Mean Field,简称RMF)理论模型,分别计算了Zr同位素链的基态总能量,并根据其差值提取了形变修正能后发现,Zr同位素链丰中子区的核具有大的长椭形变,对应的形变修正能可达到10MeV。利用RMF理论计算的基态能量,在扣除液滴模型计算的结合能后,得到了Zr同位素链的壳修正能。通过对壳修正能的分析后发现,形变使N=50壳效应显著减弱。特别是在丰中子区,大形变导致了N=50壳结构的消失。
基金We would like to express our gratitude to all the friends and collaborators, who contributed to the investigations presented here, in particular to S. Frauendorf, H. Z. Liang, H. Madokoro, M. Matsuzaki, P. Ring, S. Yamaji, and L. F. Yu. This work was supported in part by the Major State 973 Program of China （Grant No. 2013CB834400） the Natural Science Foundation of China （Grants No. 10975007+3 种基金 No. 10975008 No. 11175002, No. 11105005） the Research Fund for the Doctoral Program of Higher Education under Grant No. 20110001110087 and the China Post-doctoral Science Foundation Grant No. 2012M520101.
文摘Magnetic rotation and antimagnetic rotation are exotic rotational phenomena observed in weakly deformed or near-spherical nuclei, which are respectively interpreted in terms of the shears mechanism and two shearslike mechanism. Since their observations, magnetic rotation and antimagnetic rotation phenomena have been mainly investigated in the framework of tilted axis cranking based on the pairing plus quadrupole model. For the last decades, the covariant density functional theory and its extension have been proved to be successful in describing series of nuclear ground-states and excited states properties, including the binding energies, radii, single-particle spectra, reso- nance states, halo phenomena, magnetic moments, magnetic rotation, low-lying excitations, shape phase transitions, collective rotation and vibrations, etc. This review will mainly focus on the tilted axis cranking covariant density functional theory and its application for the magnetic rotation and antimagnetic rotation phenomena.
基金supported by the National Natural Science Foundation of China (11875075, 11935003, 11975031, and 11621131001)the National Key R&D Program of China (2018YFA0404400 and 2017YFE0116700)+1 种基金the State Key Laboratory of Nuclear Physics and Technology, Peking University (NPT2020ZZ01)the China Postdoctoral Science Foundation (2020M670014)。
基金Supported by Major State Basic Research Development (973) Program (2007CB815000)NSFC (11175002,11105005)Research Fund for the Doctoral Program of Higher Education (20110001110087)
文摘The α-cluster structures for 12C and 16O are investigated in the framework of the covariant density functional theory,where the pairing correlation is treated with a particle number conserving shell-model-like approach.The ground states of 12 C and 16 O have been calculated and the density distributions demonstrate an equilateral triangle 3α clustering for 12 C and a regular tetrahedron 4α clustering for 16O.The existence of linear nα chain structure of both 12C and 16O is revealed at high quadrupole deformation.
基金Supported by Guizhou Science and Technology Foundation (J[2010]2135)Major State Basic Research Development (973) Program (2007CB815000)+1 种基金NSFC (10975008)China Postdoctoral Science Foundation (20100480149)
文摘The pseudospin symmetry(PSS) limits which conserve substantial spin-orbit splitting are investigated.It is found that while the strength of the spin-orbit potential as well as the spin-orbit splitting increase,the pseudospin doublets,e.g.,2p3/2 and 1f5/2 states,are always degenerate.Furthermore,by examining the perturbation corrections to the single-particle energies,the perturbative nature of the proposed PSS limits is also discussed.
基金Supported by"the Fundamental Research Funds for the Central Universities"(JUSRP1035)NSFC(11305077,11335002)
文摘The effects of pairing correlation in Yb isotopes are investigated by covariant density functional theory with pairing correlations and blocking effects treated exactly by a shell model like approach(SLAP). Experimental one- and two-neutron separation energies are reproduced quite well. The traditional BCS calculations always give larger pairing energies than those given by SLAP calculations, particularly for the nuclei near the proton and neutron drip lines. This may be caused because many of the single particle orbits above the Fermi surface are involved in the BCS calculations, but many of them are excluded in the SLAP calculations.
基金Acknowledgements The authors are indebted to S. Heinz, J. Meng, and S. Q. Zhang for their valuable suggestions and critical reviews. This work was supported by the Major State 973 Program of China （Grant No. 2013CB834400）, the National Natural Science Foundation of China （Grant Nos. 11005004, 11175002, 11275098, and 11335002）, the Research Fund for the Doctoral Program of Higher Education （Grant No. 20110001110087）, and the China Postdoctoral Science Foundation （Grant Nos. 2012M520101 and 2013M540011）.
