arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2006.15360nucl-thhep-lathep-phnucl-ex
收藏

用有效场论精确测定π-核子耦合常数

Precision determination of pion-nucleon coupling constants using effective field theory

P. Reinert, H. Krebs, E. Epelbaum

摘要:

π-核子耦合常数决定了长程核力的强度,在我们理解核物理中起着基础性的作用。虽然带电和中性π介子与质子和中子的耦合被认为是非常相似的,但由于强相互作用的近似同位旋对称性,上夸克和下夸克的不同质量和电磁效应可能导致它们的值略有不同。尽管以前曾试图从不同的体系中提取这些耦合常数,但我们对它们的值的了解仍然不足。在这封信中,我们提出了一个精确的确定这些基本的可观测量与完全控制的不确定性从中子-质子和质子-质子散射数据使用手征有效场论。为了实现这一目标,我们使用一种新的方法的基础上贝叶斯方法和执行,第一次,一个完整的分波分析的核子核子散射的π介子生产阈值的框架内的手征有效场论,包括一个完整的治疗同位旋破环效应和我们自己的相互一致的数据的确定。得到的π-核子耦合常数值在百分数水平上是精确的,并且没有明显的电荷依赖性。这些结果标志着向发展核力和结构的精确理论迈出了重要的一步。

英文摘要:

The pion-nucleon coupling constants determine the strength of the long-range nuclear forces and play a fundamental part in our understanding of nuclear physics. While the charged- and neutral-pion couplings to protons and neutrons are expected to be very similar, owing to the approximate isospin symmetry of the strong interaction, the different masses of the up- and down-quarks and electromagnetic effects may result in their slightly different values. Despite previous attempts to extract these coupling constants from different systems, our knowledge of their values is still deficient. In this Letter we present a precision determination of these fundamental observables with fully controlled uncertainties from neutron-proton and proton-proton scattering data using chiral effective field theory. To achieve this goal, we use a novel methodology based on the Bayesian approach and perform, for the first time, a full-fledged partial-wave analysis of nucleon-nucleon scattering up to the pion production threshold in the framework of chiral effective field theory, including a complete treatment of isospin-breaking effects and our own determination of mutually consistent data. The resulting values of the pion-nucleon coupling constants are accurate at the percent level and show no significant charge dependence. These results mark an important step towards developing a precision theory of nuclear forces and structure.

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。

↑