在相对论平均场框架下Pr同位素链中滴线核的确定

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在相对论平均场框架下研究了Pr同位素链中中子和质子滴线核的可能位置及相关性质 .对效应的处理采用了BCS方法 ,并使用了与同位素有关的对力常数 ,对不成对的核子采用了‘阻塞法’ ,考虑了核的轴对称形变 .计算结果表明 ,对不同物理量的研究都可得到185 Pr为同位素链中丰中子边最后一个稳定核 .而在丰质子边 ,采用本方法很难确定质子滴线核的位置 .原因是由于在丰质子边随着A的减少 ,费米面比丰中子边的费米面更快地趋于连续态 ,BCS方法不再成立 ,并须考虑束缚态和连续态的耦合 . The possible locations and related properties of neutron and proton drip line nuclei in the Pr isotope chain were studied under the framework of the relativistic average field.The BCS method was used to deal with the effects and the isotope-dependent pairs of force constants, The nucleon adopts the “blocking method” and takes into account the axial symmetry deformation of the nucleus. The calculated results show that 185 Pr is the last stable nucleus of the abundance neutron edge in the isotope chain for the study of different physical quantities. It is difficult to determine the location of proton drip line nuclei by this method because the Fermi surface tends to be continuous more rapidly than the abundance neutron edge due to the reduction of A on the abundance daughter side and the BCS method is no longer valid The coupling between bound state and continuous state must be considered.
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