Quasi-exactly solvable decatic model description of nuclei near the X(5) critical point  

作　　者：Hadi Sobhani Hassan Hassanabadi Dennis Bonatsos Feng Pan Jerry P Draayer 

机构地区：[1]Department of Physics,Liaoning Normal University,Dalian 116029,China [2]Faculty of Physics,Shahrood University of Technology,Shahrood,Iran [3]Institute of Nuclear and Particle Physics,National Centre for Scientific Research‘Demokritos’,GR-15310 Aghia Paraskevi,Attiki,Greece [4]Department of Physics and Astronomy,Louisiana State University,Baton Rouge,LA 70803-4001,United States of America

出　　处：《Communications in Theoretical Physics》2022年第1期46-56,共11页理论物理通讯（英文版）

基　　金：Support from the National Natural Science Foundation of China(11675071,12175097);the Liaoning Provincial Universities Overseas Training Program(2019GJWYB024);the U.S.National Science Foundation(OIA-1738287 and PHY-1913728);the Southeastern Universities Research Association;the LSU-LNNU joint research program(9961)is acknowledged.

摘　　要：The Bohr Hamiltonian with axially deformed shape confined in a quasi-exactly solvable decatic β-part potential is studied.It is shown that the decatic model can well reproduce the X(5)model results as far as the energy ratios in the ground and beta band and related B(E2)values are concerned.Fitting results to the low-lying energy ratios and relevant B(E2)values of even-even X(5)candidates ^(150)Nd,^(156)Dy,^(164)Yb,^(168)Hf,^(174)Yb,^(176,178,180)Os,and ^(188,190)Os show that the decatic model provides the best fitting results for the energy ratios,while the X(5)model is the best at reproducing the B(E2)values of these nuclei,in which the beta-bandhead energy is lower than that of the gamma band.While for even-even nuclei,such as ^(154,156,158)Gd,with bandhead energies of the beta and gamma bands more or less equal within the X(5)critical point to the axially deformed region,our numerical analysis indicates that the decatic model is better than the X(5)model in describing both the low-lying level energies and related B(E2)values.

关 键 词：Bohr Hamiltonian the decatic potential X(5)critical point 

分 类 号：O571[理学—粒子物理与原子核物理]