arXiv 1809.006392018-09nucl-thhep-lathep-phnucl-ex

有效场论在格点核宇称长程破坏研究中的应用

Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice

Feng-Kun Guo, Chien-Yeah Seng

备注：: 43 pages, 3 figures, 1 table. Accepted by EPJC
发表信息：: Eur. Phys. J. C (2019) 79: 22
DOI：: 10.1140/epjc/s10052-018-6529-y

摘要：

NPDGamma协作组最近报道了中子-质子俘获中γ射线不对称性的非零信号$A_γ^\mathrm{np}=(-3.0\pm1.4\pm0.2)\times 10^{-8}$，首次确定了$ΔI=1$宇称奇π介子-核子耦合常数$h_π^1=(2.6\pm 1.2\pm 0.2)\times 10^{-7}$ .从第一性原理中再现这个值的能力，可以直接检验我们目前对低能下强相互作用和弱相互作用之间相互作用的理解。为了激发新的晶格研究的$h_π^1$，我们回顾了目前的理论认识这种耦合，其中包括我们最近的工作，涉及到核子质量分裂的软π定理。我们进一步研究了通过提供所有涉及的夸克收缩图的有效场论参数化来计算格点上质量分裂的可能性。我们表明，较容易连接的图的晶格计算将提供的信息，手征的夸克圈图，从而有助于后者的手征外推的手征。

英文摘要：

A non-zero signal $A_γ^\mathrm{np}=(-3.0\pm1.4\pm0.2)\times 10^{-8}$ of the gamma-ray asymmetry in the neutron-proton capture was recently reported by the NPDGamma Collaboration which provides the first determination of the $ΔI=1$ parity-odd pion-nucleon coupling constant $h_π^1=(2.6\pm 1.2\pm 0.2)\times 10^{-7}$. The ability to reproduce this value from first principles serves as a direct test of our current understanding of the interplay between the strong and weak interaction at low energy. To motivate new lattice studies of $h_π^1$, we review the current status of the theoretical understanding of this coupling, which includes our recent work that relates it to a nucleon mass-splitting by a soft-pion theorem. We further investigate the possibility of calculating the mass-splitting on the lattice by providing effective field theory parameterizations of all the involved quark contraction diagrams. We show that the lattice calculations of the easier connected diagrams will provide information of the chiral logarithms in the much harder quark loop diagrams and thus help in the chiral extrapolation of the latter.

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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