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用变形的相对论平均场理论研究了Pr(Z=59)同位素链核的基态和对关联的性质。对关联是采用BCS(Bardeen-Cooper-Schrieffer)近似方法处理,对力取为同位旋相关的,对关联的处理中考虑了不成对的奇核子的阻塞效应。研究了中子滴线核和质子滴线核,本工作着重研究了在Pr-同位素核中连续态的占有几率随中子数的变化的情况,它可以给出BCS近似处理对关联适用范围。研究表明,相对论平均场理论加上BCS对关联近似方法提供了描述Pr-同位素链核基态性质,如核子平均结合能、同位素漂移(isotope shift)核的形变等非常有效的理论方法。
The deformation of the relativistic mean field theory was used to investigate the ground state and the property of association of Pr (Z = 59) isotopes. The association is processed using the BCS (Bardeen-Cooper-Schrieffer) approximation method, the force is assumed to be isospin-dependent, and the unobtrusive odd-nucleon blocking effect is taken into account in the correlation process. The neutron drip line nucleus and the proton drip line nucleus are studied. In this work, we mainly study the change of the possession probability of continuous states with the number of neutrons in the Pr-isotope nucleus, which can give the applicable range of BCS approximation treatment. The results show that the relativistic mean field theory and BCS provide a very effective theoretical method for describing the ground state properties of Pr-isotope chain nuclei, such as the average nuclear binding energy and the isotope shift nucleation.