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arXiv · 2104.02380

$^3S_1-{}^3D_1$ coupled channel $\Lambda_c N$ interactions: chiral effective field theory vs. lattice QCD

Jing Song·Yang Xiao·Zhi-Wei Liu·Kai-Wen Li·Li-Sheng Geng
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Abstract

We study the lattice QCD $\Lambda_c N$ phase shifts for the $^3S_1-{}^3D_1$ coupled channel using both the leading order covariant chiral effective theory and the next-to-leading order non-relativistic chiral effective field theory. We show that although it is possible to describe simultaneously the $^3S_1$ and $^3D_1$ phase shifts and the inelasticity $\eta_1$, the fitted energy range is pretty small, only up to $E_\mathrm{c.m.}=5$ MeV. This raises concerns regarding the consistency between leading/next-to-leading order chiral effective field theory and the lattice QCD simulations.

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Jing Song, Yang Xiao, Zhi-Wei Liu, Kai-Wen Li, Li-Sheng Geng. 2021-04-06. $^3S_1-{}^3D_1$ coupled channel $\Lambda_c N$ interactions: chiral effective field theory vs. lattice QCD. https://arxiv.org/abs/2104.02380

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