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arXiv · 2102.00181

Dibaryon with highest charm number near unitarity from lattice QCD

Yan Lyu·Hui Tong·Takuya Sugiura·Sinya Aoki·Takumi Doi·Tetsuo Hatsuda·Jie Meng·Takaya Miyamoto
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Abstract

A pair of triply charmed baryons, $Ω_{ccc}Ω_{ccc}$, is studied as an ideal dibaryon system by (2+1)-flavor lattice QCD with nearly physical light-quark masses and the relativistic heavy quark action with the physical charm quark mass. The spatial baryon-baryon correlation is related to their scattering parameters on the basis of the HAL QCD method. The $Ω_{ccc}Ω_{ccc}$ in the ${^1S_0}$ channel taking into account the Coulomb repulsion with the charge form factor of $Ω_{ccc}$ leads to the scattering length $a^{\rm C}_0\simeq -19~\text{fm}$ and the effective range $r^{\rm C}_{\mathrm{eff}}\simeq 0.45~\text{fm}$. The ratio $r^{\rm C}_{\mathrm{eff}}/a^{\rm C}_0 \simeq -0.024$, whose magnitude is considerably smaller than that of the dineutron ($-0.149$), indicates that $Ω_{ccc}Ω_{ccc}$ is located in the unitary regime.

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Yan Lyu, Hui Tong, Takuya Sugiura, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Jie Meng, Takaya Miyamoto. 2021-07-14. Dibaryon with highest charm number near unitarity from lattice QCD. https://doi.org/10.1103/physrevlett.127.072003

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