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

Abstract

First results on the interaction between the $\varphi$-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 $N$-$\varphi$ system in the spin 3/2 channel is converted into the $N$-$\varphi$ scattering phase shift through the interaction potential. The $N$-$\varphi$ 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 $m_{\pi }=$ 146.4 MeV are $a_0^{(3/2)}=-1.43(23{)}_{stat.}{\left({}_{-06}^{+36}\right)}_{syst.}\mathrm{fm}$ and $r_{\mathrm{eff}}^{(3/2)}=2.36(10{)}_{stat.}{\left({}_{-48}^{+02}\right)}_{syst.}\mathrm{fm}$, respectively. The magnitude of the scattering length is shown to have nontrivial dependence of $m_{\pi }$ and is sensitive to the existence of the long-range tail from TPE.

8 pages, 6 figures, matches version published in PRD

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Cited by in corpus (22)

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• Indication of a p-$\varphi$ bound state from a correlation function analysis
• Nucleon-charmonium interactions from lattice QCD
• On a possible ${}_{\varphi }^3$H hypernucleus with HAL QCD interaction
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• Examination of the $\varphi -NN$ bound-state problem with lattice QCD $N-\varphi$ potentials
• Bound states of ${}_{\varphi }^9$Be and ${}_{\varphi \varphi }^6$He nuclei with $\varphi$+$\alpha$+$\alpha$ and $\varphi$+$\varphi$+$\alpha$ cluster models
• Folding procedure for $\Omega$-$\alpha$ potential
• Analysis of spectral modification of $\varphi$ mesons at finite density using a transport approach in the 12 GeV pA reactions
• Exploring the $\varphi \text{-}\alpha$ interaction via femtoscopic study
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• Femtoscopic study of the $\Omega \alpha$ interaction in heavy-ion collisions
• The $\varphi NN,J/\psi NN,{\eta }_{c}NN$ systems based on HAL QCD interactions
• Probing Nucleon-${\Omega }_{\mathrm{ccc}}$Interaction via Lattice QCD at Physical Quark Masses
• p--$\varphi$ femtoscopic correlation analysis using a dynamical model
• Probing $\varphi$N interaction through bound states of $\varphi \text{N-}\alpha$ system
• Possible Existence of ${}_{\varphi }^3$H, ${}_{\varphi }^4$H, ${}_{\varphi }^4$He, and ${}_{\varphi }^5$He Nuclei
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• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering
• $D{\bar{D}}^{\ast }$-$\pi J/\psi$ scatterings of coupled channels for $Z_c(3900)$ channel