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arXiv 1612.08482nucl-thhep-ph
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手征有效场论中的首阶相对论超子-核子相互作用

Leading order relativistic hyperon-nucleon interactions in chiral effective field theory

Kai-Wen Li, Xiu-Lei Ren, Li-Sheng Geng, Bing-Wei Long

摘要:

本文应用最近提出的协变功率计数方法研究了手征有效场论中的奇异$S=-1$ $ΛN-ΣN$相互作用。在首阶,洛伦兹不变性引入了12个低能常数,而重子方法只有5个。为了考虑超子-核子相互作用的非微扰性质,采用Kadyshevsky方程对势进行求和。对$36$超子-核子散射数据点的拟合得到了$χ^2\simeq 16$,它与复杂的唯象模型和次领先级重子方法相当。然而,人们不能实现核子-核子相移和奇异$S=-1$超子-核子散射数据在首阶的同时描述。

英文摘要:

We apply a recently proposed covariant power counting in nucleon-nucleon interactions to study strangeness $S=-1$ $ΛN-ΣN$ interactions in chiral effective field theory. At leading order, Lorentz invariance introduces 12 low energy constants, in contrast to the heavy baryon approach, where only five appear. The Kadyshevsky equation is adopted to resum the potential in order to account for the non-perturbative nature of hyperon-nucleon interactions. A fit to the $36$ hyperon-nucleon scattering data points yields $χ^2\simeq 16$, which is comparable with the sophisticated phenomenological models and the next-to-leading order heavy baryon approach. However, one cannot achieve a simultaneous description of the nucleon-nucleon phase shifts and strangeness $S=-1$ hyperon-nucleon scattering data at leading order.

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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