Probing Nucleon-$\hat{I}{\text{c◯}}_{\mathrm{ccc}}$Interaction via Lattice QCD at Physical Quark Masses

Abstract

We study the S-wave interactions between the nucleon ($N$) and the triply charmed Omega baryon ($\hat{I}{\text{c◯}}_{\mathrm{ccc}}$) using (2+1)-flavor lattice QCD with a physical pion mass ($m_{\ddot{I}}€\simeq 137.1$ MeV) on a lattice volume $\simeq (8.1\mathrm{fm}{)}^3$. The charm quark is implemented with a relativistic heavy-quark action at its physical mass. Employing the time-dependent HAL QCD method, the $N$-$\hat{I}{\text{c◯}}_{\mathrm{ccc}}$ potentials in the spin-1 (${}^3{\mathrm{S}}_1$) and spin-2 (${}^5{\mathrm{S}}_2$) channels are extracted. In both channels, overall attraction is found with the scattering parameters, $a_0=0.56(0.13)\left({}_{-0.03}^{+0.26}\right)$ fm and $r_{\mathrm{eff}}=1.60(0.05)\left({}_{-0.12}^{+0.04}\right)$ fm for the ${}^3{\mathrm{S}}_1$ channel, and $a_0=0.38(0.12)\left({}_{-0.00}^{+0.25}\right)$ fm and $r_{\mathrm{eff}}=2.04(0.10)\left({}_{-0.22}^{+0.03}\right)$ fm for the ${}^5{\mathrm{S}}_2$ channel, indicating the absence of a dibaryon bound state. The extracted potentials are further decomposed into spin-independent and spin-dependent components. The spin-independent potential is a dominant component and features a short-range attractive core and a long-range attractive tail, while the spin-dependent potential shows short-range attraction (repulsion) in the spin-1 (spin-2) channel. Qualitative comparisons with previous studies of the $N$-$J/\ddot{I}ˆ$ and $N$-$\hat{I}{\text{c◯}}_{\mathrm{sss}}$ systems at $m_{\ddot{I}}€\simeq 146$ MeV are provided, emphasizing the role of heavy-hadron chromo-polarizability arising from soft-gluon exchange between the nucleon and flavor-singlet hadrons. The charm quark mass dependence of the $N$-$\hat{I}{\text{c◯}}_{\mathrm{ccc}}$ potential is investigated as well.

8 pages, 6 figures and 3 tables

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