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arXiv 1806.01573nucl-th
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考虑手征三体力贡献的p壳层核的实壳模型计算

Realistic shell-model calculations for p-shell nuclei including contributions of a chiral three-body force

T. Fukui, L. De Angelis, Y. Z. Ma, L. Coraggio, A. Gargano, N. Itaco, F. R. Xu

摘要:

在本文中,我们提出了我们的推导壳模型有效哈密顿量的演变,即引入三体贡献的影响。更准确地说,我们考虑了手征微扰理论中次-次-主导级的三体势,以及价核子之间的多体关联所产生的感生三体力。第一个是在多体微扰理论中一阶的一价和二价核子系统的有效哈密顿量的推导中所包含的。也就是说,我们只考虑了一个或两个价核子与属于核的核子之间的三体相互作用。对于具有两个以上价粒子的原子核,两种诱导力(由二体势开启)和真正的三体力都起作用。由于很难用三体力进行壳模型计算,这些贡献仅对基态能量进行估计。为了建立我们的近似的可靠性,我们把注意力集中在属于p壳层的核上,旨在将我们的计算与从头算无核壳模型进行比较。所得结果是令人满意的,并为我们的方法在更重质量核系统中的应用铺平了道路。

英文摘要:

In this paper we present an evolution of our derivation of the shell-model effective Hamiltonian, namely introducing effects of three-body contributions. More precisely, we consider a three-body potential at next-to-next-to-leading order in chiral perturbation theory, and the induced three-body forces that arise from many-body correlations among valence nucleons. The first one is included, in the derivation of the effective Hamiltonian for one- and two-valence nucleon-systems, at first order in the many-body perturbation theory. Namely, we include only the three-body interaction between one or two valence nucleons and those belonging to the core. For nuclei with more than two valence particles, both induced - turned on by the two-body potential - and genuine three-body forces come into play. Since it is difficult to perform shell-model calculations with three-body forces, these contributions are estimated for the ground-state energy only. In order to establish the reliability of our approximations, we focus attention on nuclei belonging to the p shell, aiming to benchmark our calculations against those performed with the ab initio no-core shell-model. The obtained results are satisfactory, and pave the way to the application of our approach to nuclear systems with heavier masses.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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