论文标题
SU(2)-lipkin模型(包括非关闭壳系统的情况)的常规随机相位近似超出常规随机相近似的可能试验
A possible trial beyond the conventional random phase approximation for the su(2)-Lipkin model including the case of non-closed shell system
论文作者
论文摘要
关于SU(2)-Lipkin模型,对第一激发状态的激发能量的计算产生了以下事实:基于确切处理和常规随机相位近似(RPA)的两个结果出乎意料。为了消除此差异,传统的RPA将更新。以这种续订的目的,估计无法在传统上处理的条款。这种新形式的基本框架并未与传统形式的框架重组。另外,SU(2)-lipkin模型本身也经过修改,以适用于非关闭的壳系统。为了进行此修改,应用了本已由本作者提出的另外一个SU(2) - 代数。通过使用此代数,SU(2)-lipkin模型适用于模型中允许的任何总费用号码。
Concerning the su(2)-Lipkin model, the calculation of the excitation energy to the 1st excited-state gives rise to the following fact: The two results based on the exact treatment and the conventional random phase approximation (RPA) are in unexpected disagreement. In order to remove this discrepancy, the conventional RPA is renewed. With the aim of this renewal, the terms, which cannot be dealt with in the conventional one, are estimated. The basic framework of this new form is not reorganized from that of the conventional one. In addition, the su(2)-Lipkin model itself is also modified so as to be applicable to the case with non-closed shell system. To this modification, one more su(2)-algebra, which has been already proposed by the present authors, is applied. Through the use of this algebra, the su(2)-Lipkin model is applicable to the case with any total fermion number permitted in the model.