在已有的投影后变分(Variation After Projection,VAP)方法的基础上,进一步考虑宇称投影,VAP计算可将模型空间扩展至多个主大壳.然而,在多主壳的壳模型计算中,质心问题需要额外处理.由于现实壳模型哈密顿量不具有平移不变性,多主壳模型空间的波函数会有质心部分的混杂,需要把质心部分从波函数中分离出来,以便得到纯净的内部波函数.这里,VAP计算也需要处理相同的质心问题.采用与标准壳模型完全一致的办法,实现了VAP波函数质心部分的有效分离.作为新方法的初步应用,我们在psd模型空间中计算了12C的正负宇称低激发态.结果表明,无论晕态还是非晕态,VAP方法仅采用几个HF真空态,就已能给出非常好的壳模型近似结果.至此,本文发展的VAP新方法,可以计算壳模型中所有类型的低激发态.
The projected total energy surface(PTES)approach has been developed based on the triaxial projected shell model(TPSM)hybridized with the macroscopic–microscopic method.The total energy of an atomic nucleus is decomposed into macroscopic,microscopic and rotational terms.The macroscopic and microscopic components are described with the liquid drop model and Strutinsky method,respectively,and the rotational energy is given by the TPSM,the term beyond the mean field.To test theory,the PTES calculations have been carried out for the yrast states of the well deformed rare earth nucleus172W,and the theoretical results are in good agreement with the experimental data.By using the equilibrium quardrupole deformations(ε2andγ)determined by the PTES,the calculation of the transition quardrupole moment(Qt)in function of spin also reproduces the experimental data.A comparison between the PTES and TRS methods has been made for theoretical and application uses.
在已有的投影后变分(variation after projection,VAP)方法的基础上,进一步考虑宇称投影。由此,VAP计算可将模型空间扩展至多个主大壳。考虑多个主大壳,VAP计算需要处理质心问题。对于质心修正,采用与标准壳模型完全一致的办法,将波函数的质心部分进行分离。在已有的VAP方法中,只能计算正宇称低激发态。采用新方法,在psd模型空间中计算了12 C的正负宇称低激发态。通过与壳模型(shell model,SM)精确值进行比较,无论正宇称态,还是负宇称态,都得到了非常好的近似结果。至此,VAP新方法可以计算壳模型中所有类型的低激发态。这是首次能够同时计算原子核正负宇称态的VAP计算。
