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arXiv 2602.03115hep-phnucl-th
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利用左手切口的有效范围展开提取π-核耦合常数

Extraction of the pion-nucleon coupling constant using the effective-range expansion with the left-hand cut

Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；School of Physics, University of Electronic Science and Technology of China（电子科技大学物理学院）；Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences（中国科学院近代物理研究所南方核科学理论中心）；Helmholtz-Institut für Strahlen- und Kernphysik, Bethe Center for Theoretical Physics and Cluster of Excellence “Color meets Flavor”, Universität Bonn（波恩大学亥姆霍兹射线与核物理研究所、贝特理论物理中心及“色彩遇见味道”卓越集群）；Institute for Advanced Simulation (IAS-4), Forschungszentrum Jülich（于利希研究中心先进模拟研究所（IAS-4））；Peng Huanwu Collaborative Center for Research and Education, International Institute for Interdisciplinary and Frontiers, Beihang University（北京航空航天大学国际交叉前沿研究院彭桓武教研协同中心）

Bo-Yang Liu, Bing Wu, Ji-Wei Fu, Meng-Lin Du, Feng-Kun Guo, Ulf-G. Meißner

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AI总结：

本文利用有效范围展开和左手切口方法，提取了低能π-核耦合常数，尽管存在较大不确定性，但结果与已知值一致，证明了该方法的有效性。

摘要：

我们应用了Phys. Rev. Lett. 135, 011903(2025)中推广的有效范围展开，该方法纳入了单π交换的左手切口，用于低能中子-质子散射在$^1S_0$和$^3S_1$通道中。在$^1S_0$通道中，质心动量接近0.35 GeV时的振幅零点自然地被该框架所容纳。我们提取了不同展开阶次下的极点位置、散射长度、有效范围以及赝标量π-核耦合常数$g_{πN}^2/(4π)$。低能参数稳定且与已确立的值一致，而$g_{πN}^2/(4π)$表现出更大的不确定性。$g_{πN}^2/(4π)$的提取是数据驱动的，依赖于左手切口的解析约束以及一π交换近似下的相移数据。尽管与高精度提取相比不确定性更大，但与已确立值的一致性表明该框架可以探测左手切口奇点。

英文摘要：

We apply the generalized effective-range expansion of Phys. Rev. Lett. 135, 011903(2025), which incorporates the left-hand cut from one-pion exchange, to low-energy neutron-proton scattering in the $^1S_0$ and $^3S_1$ channels. The amplitude zero for the center-of-mass momentum near 0.35 GeV in the $^1S_0$ channel is naturally accommodated within this framework. We extract the pole position, scattering length, effective range, and the pseudoscalar pion-nucleon coupling constant $g_{πN}^2/(4π)$ at different expansion orders. The low-energy parameters are stable and consistent with established values, while $g_{πN}^2/(4π)$ exhibits larger uncertainties. The extraction of $g_{πN}^2/(4π)$ is data-driven, relying on the analytic constraints from the left-hand cut and phase-shift data within the one-pion-exchange approximation. Despite larger uncertainties compared to high-precision extractions, the consistency with established values demonstrates that this framework can probe the left-hand-cut singularity.

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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