The microscopically constrained relativistic mean field theory is used to investigate the superdeformation for Pb isotopes. The calculations have been performed with the four different interactions NL3, PK1, TM1 and NLSH, and show that there exists a clear superdeformed minimum in the potential energy surfaces. The excitation energy, deformation and depth of the well in the superdef.ormed minimum are comparable for the four different interactions. Furthermore the trend for the change of the superdeformed excitation energy with neutron number is correctly reproduced. The calculated two-neutron separation energy in the ground state and superdeformed minimum together with their differences are in agreement with the available data. The larger energy difference appearing in the superdeformed minimum reflects a lower average level density at superdeformations for Pb isotopes.
In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied, and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials. Several particular cases such as the ring-shaped non-spherical harmonic oscillator, the ring-shaped harmonic oscillator, non-spherical harmonic oscillator, and spherical harmonic oscillator are also discussed.
采用反射不对称相对论平均场(Reflection Asymmetric Relativistic Mean Field,RAS-RMF)理论研究了226Th和216Th原子核的基态性质.通过改变RAS-RMF理论计算中双中心谐振子基的不对称系数δ3、形变参数δ2以及基大小参数N,探讨了基参数的变化对计算结果的影响.结果表明:双中心谐振子基参数的改变对RAS-RMF计算结果都存在稳定的区间,在这个稳定区间里,RAS-RMF计算结果与实验数据以及有限力程小液滴模型(FRDM)计算结果一致.尤其是反射不对称自由度的引入,改进了相对论平均场的理论计算,给出了与实验更加符合的结果,表明RAS-RMF理论对描述具有反射不对称形变的原子核更具优越性.
