球形平均场加推广单极对力模型的严格解

Exact solution of spherical mean-field plus extended monopole pairing model

通过引入局域E_2对称性所得到的球形平均场加推广单极对力模型的严格解.该模型使形变平均场加推广对力模型成为新的可解模型的特例.作为应用,分别计算了^(12)O基态中的声子占有率和不同j轨道对在基态的无声子激发组分中的占有率并与无芯壳模型的计算结果进行了比较,从而揭示了该模型的适用性.通过该模型对质量奇偶差的拟合计算了^(12-28)O同位素的结合能并与实验结果进行了比较.

Exact solution of spherical mean-field plus extended monopole pairing model based on the local E_2 symmetry is outlined,from which the deformed mean-field plus extended pairing model becomes a special case.As an example of the application,probability distribution of the ^（12）O ground state as the total number of phonons and projection of the 0hω part ground state onto a J=0 pair configuration are compared with those obtained from the ab initio no-core shell model calculations,which show that the spherical mean-field plus extended monopole pairing model is feasible.Binding energy of ^（ 12-28）O is estimated from the fitting to the odd-even mass differences in the present model and compared with the corresponding experimental data.