Zhou, SG (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.
; Zhou, SG (reprint author), Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China.
; Zhou, SG (reprint author), Univ Chinese Acad Sci, Sch Phys, Beijing 100049, Peoples R China.
; Zhou, SG (reprint author), Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan, Peoples R China.
文章类型:
Article
英文摘要:
We develop a multidimensionally constrained relativistic Hartree-Bogoliubov (MDC-RHB) model in which the pairing correlations are taken into account by making the Bogoliubov transformation. In this model, the nuclear shape is assumed to be invariant under the reversion of x and y axes; i.e., the intrinsic symmetry group is V-4 and all shape degrees of freedom beta(gamma mu) with even mu are included self-consistently. The RHB equation is solved in an axially deformed harmonic oscillator basis. A separable pairing force of finite range is adopted in the MDC-RHB model. The potential energy curves of neutron-rich even-even Zr isotopes are calculated with relativistic functionals DD-PC1 and PC-PK1 and possible tetrahedral shapes in the ground and isomeric states are investigated. The ground state shape of Zr-110 is predicted to be tetrahedral with both functionals and so is that of Zr-112 with the functional DD-PC1. The tetrahedral ground states are caused by large energy gaps around Z = 40 and N = 70 when beta(32) deformation is included. Although the inclusion of the beta(30) deformation can also reduce the energy around beta(20) = 0 and lead to minima with pear-like shapes for nuclei around Zr-110, these minima are unstable due to their shallowness.
National Key Basic Research Program of China [2013CB834400]
; National Natural Science Foundation of China [11120101005, 11275248, 11475115, 11525524, 11621131001, 11647601]
; Knowledge Innovation Project of the Chinese Academy of Sciences [KJCX2-EW-N01]
