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Modelling overlap functions for one-nucleon removal: role of the effective three-nucleon force
Journal of Physics G: Nuclear and Particle Physics ( IF 3.4 ) Pub Date : 2020-12-16 , DOI: 10.1088/1361-6471/abbf00
Natasha Timofeyuk

One-nucleon overlap functions, needed for nucleon-removal reaction calculations, are solutions of an inhomogeneous equation with the source term defined by the wave functions of the initial and final nuclear states and interaction between the removed nucleon with the rest. The source term approach (STA) allows the overlaps with correct asymptotic decrease to be modelled while using nuclear many-body functions calculated in minimal model spaces. By properly choosing the removed nucleon interaction the minimum-model-space STA can reproduce reduced values of spectroscopic factors (SFs) extracted from nucleon-removal reactions and predicts isospin asymmetry in the SF reduction. It is well-known that model space truncation leads to the appearance of higher-order induced forces, with three-nucleon force being the most important. In this paper the role of such a force on the source term calculation is studied. Applications to one-nucleon removal from double-magic nuclei show that three-nucleon force improves the description of available phenomenological overlap functions and reduces isospin asymmetry in SFs.



中文翻译:

为一核子去除建模重叠函数:有效三核子力的作用

核子去除反应计算所需的一个核子重叠函数是一个不均匀方程的解,其源项由初始和最终核态的波函数以及被除去的核子与其余核子之间的相互作用定义。源项法(STA)允许使用最小模型空间中计算的核多体函数对具有正确渐近减小的重叠进行建模。通过适当地选择去除的核子相互作用最小模型空间STA可以再现降低了从核子 - 除去反应萃取分光因子(SFS)值和预测在SF减少同位旋不对称。众所周知,模型空间截断会导致出现更高阶的感应力,其中最重要的是三核子力。本文研究了这种力在源项计算中的作用。从双魔术核去除一核子的应用表明,三核子力可改善对可用现象学重叠功能的描述,并减少SF中的同位旋不对称。

更新日期:2020-12-16
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