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arXiv 1902.07518nucl-th
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奇$A$核的连续Skyrme-Hartree-Fock-Bogoliubov格林函数理论

Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei

Ting-Ting Sun, Zi-Xin Liu, Long Qian, Bing Wang, Wei Zhang

备注：
11 pages, 7 figures
发表信息：
Phys. Rev. C 99, 054316 (2019)
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摘要：

为了研究奇异奇核系统，在等填充近似下，将用格林函数方法建立的自洽连续体Skyrme-Hartree-Fock-Bogoliubov理论推广到包含阻塞效应.为了正确地进行格林函数的积分，为阻塞效应引入的轮廓路径$C_{\rm b}^{-}$和$C_{\rm b}^{+}$应包括阻塞准粒子态，但不能侵入连续区。通过与盒离散计算的比较，表明了格林函数方法在描述奇异核的扩展密度分布、共振态以及与连续谱的耦合等方面的巨大优势。最后，以丰中子奇核$^{159}$ Sn为例，通过阻塞准粒子态$1p_{1/2}$研究了晕结构。结果表明，费米面附近的弱束缚态对大坐标下的扩展密度分布有很大贡献。

英文摘要：

To study the exotic odd nuclear systems, the self-consistent continuum Skyrme-Hartree-Fock-Bogoliubov theory formulated with Green's function technique is extended to include blocking effects with the equal filling approximation. Detailed formula are presented.To perform the integrals of the Green's function properly, the contour paths $C_{\rm b}^{-}$ and $C_{\rm b}^{+}$ introduced for the blocking effects should include the blocked quasi-particle state but can not intrude into the continuum area. By comparing with the box-discretized calculations, the great advantages of the Green's function method in describing the extended density distributions, resonant states, and the couplings with the continuum in exotic nuclei are shown. Finally, taking the neutron-rich odd nucleus $^{159}$Sn as an example, the halo structure is investigated by blocking the quasi-particle state $1p_{1/2}$. It is found that it is mainly the weakly bound states near the Fermi surface that contribute a lot for the extended density distributions at large coordinate space.

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