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arXiv 0812.3197nucl-th
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描述大过剩中子核的最佳对密度泛函

Optimal pair density functional for description of nuclei with large neutron excess

M. Yamagami, Y. R. Shimizu, T. Nakatsukasa

摘要:

对一个普遍的描述配对性质的原子核远离稳定,我们扩展了能量密度功能丰富的等矢量密度依赖的粒子-粒子通道(对密度泛函,对DF)。我们强调了线性和二次等矢量密度项的必要性。用Hartree-Fock-Bogoliubov方法对156个核(质量数A=118-196,非对称性参数(N-Z)/A<0.25)进行了优化计算。我们澄清,对DF应包括等矢量密度的依赖性,以考虑到一致的粒子-空穴通道中的等密度和等矢量有效质量的影响。如果采用与粒子-空穴通道相一致的最佳对DF,不同的Skyrme力可以使中子滴线方向的对能隙产生微小的差异。

英文摘要:

Toward a universal description of pairing properties in nuclei far from stability, we extend the energy density functional by enriching the isovector density dependence in the particle-particle channel (pair density functional, pair-DF). We emphasize the necessity of both the linear and quadratic isovector density terms. The parameters are optimized by the Hartree-Fock-Bogoliubov calculation for 156 nuclei of the mass number A=118-196 and the asymmetry parameter (N-Z)/A<0.25. We clarify that the pair-DF should include the isovector density dependence in order to take into account the effect of the isoscalar and isovector effective masses in the particle-hole channel consistently. The different Skyrme forces can give the small difference in the pairing gaps toward the neutron drip line, if the optimal pair-DF consistent with the particle-hole channel is employed.

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