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Critical Stability in Nuclei - An Old Problem Revisited

机译:原子核中的临界稳定性-再探一个老问题

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摘要

In this paper we will focus on the nucleon-nucleon interaction in relative S-states. The ~1S_0 interaction is known to be close to that for critical two-body binding. We will discuss two approaches to the NN interaction, which are equivalent on-shell but not off-shell. There is a well-defined transformation between these approaches. One (my preferred approach) is to minimize the tensor forces far off-shell, which leads to more rapid convergence, but at the price of significant non-locality. This approach is used in a model of relativistic tensor quenching of OPEP. With non-local AW interactions it is possible to fit not only NN observables, but also the NNN ground-state energies. The other approach is to maximize the role of the π and keep the interaction as local as possible. This approach is also internally consistent, but requires additional NNN interactions to fit nuclear data. Also, we discuss briefly a so-called low momentum interaction, which fits S-wave phase shifts quite well. This interaction is strongly non-local, and it can be approximated by a schematic separable interaction. Finally, we mention the Nambu-Jona-Lasinio model and a good approximation, the Hulthen potential, which provides some insight into the near critical two-body binding.
机译:在本文中,我们将重点介绍相对S状态下的核子-核子相互作用。众所周知,〜1S_0相互作用与关键的两体结合非常接近。我们将讨论两种与NN交互的方法,它们等效于壳上而非壳外。这些方法之间有明确定义的转换。一种方法(我的首选方法)是使远离外壳的张量最小化,这将导致更快的收敛速度,但代价是存在很大的局部性。此方法用于OPEP的相对论张量猝灭模型。利用非本地的AW相互作用,不仅可以拟合NN的观测值,而且可以拟合NNN的基态能量。另一种方法是最大程度地发挥π的作用,并使相互作用尽可能地局部化。这种方法在内部也是一致的,但是需要其他NNN交互以适应核数据。另外,我们简要讨论了一种所谓的低动量相互作用,它非常适合S波相移。这种相互作用是强烈的非局部相互作用,可以通过示意性的可分离相互作用来近似。最后,我们提到了Nambu-Jona-Lasinio模型和一个很好的近似值Hulthen势,它为近乎临界的两体结合提供了一些见识。

著录项

  • 来源
    《Few-Body Systems》 |2004年第3期|p.5-10|共6页
  • 作者

    S. A. Moszkowski;

  • 作者单位

    Department of Physics and Astronomy, UCLA, Los Angeles, CA 90095, USA;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 物理学;
  • 关键词

  • 入库时间 2022-08-17 13:56:59

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