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arXiv · 2205.10544

Attractive $N$-$ϕ$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point

Yan Lyu·Takumi Doi·Tetsuo Hatsuda·Yoichi Ikeda·Jie Meng·Kenji Sasaki·Takuya Sugiura
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Abstract

First results on the interaction between the $ϕ$-meson and the nucleon ($N$) are presented based on the ($2+1$)-flavor lattice QCD simulations with nearly physical quark masses. Using the HAL QCD method, the spacetime correlation of the $N$-$ϕ$ system in the spin 3/2 channel is converted into the $N$-$ϕ$ scattering phase shift through the interaction potential. The $N$-$ϕ$ potential appears to be a combination of a short-range attractive core and a long-range attractive tail. The latter is found to be consistent with the two-pion exchange (TPE) obtained from the interaction between a color-dipole and the nucleon. The resultant scattering length and effective range for $m_π=$ 146.4 MeV are $ a^{(3/2)}_0=-1.43(23)_{\rm stat.}\left(^{+36}_{-06}\right)_{\rm syst.} {\rm fm}$ and $ r^{(3/2)}_{\rm eff}=2.36(10)_{\rm stat.}\left(^{+02}_{-48}\right)_{\rm syst.} {\rm fm}$, respectively. The magnitude of the scattering length is shown to have nontrivial dependence of $m_π$ and is sensitive to the existence of the long-range tail from TPE.

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Yan Lyu, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Jie Meng, Kenji Sasaki, Takuya Sugiura. 2022-10-14. Attractive $N$-$ϕ$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point. https://doi.org/10.1103/physrevd.106.074507

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