${\Lambda }_{c}N$ interaction from lattice QCD and its application to ${\Lambda }_c$ hypernuclei

Abstract

The interaction between ${\Lambda }_c$ and a nucleon ($N$) is investigated by employing the HAL QCD method in the (2+1)-flavor lattice QCD on a $(2.9\mathrm{fm}{)}^3$ volume at $m_{\pi }\simeq 410,570,700$ MeV. We study the central potential in ${}^1{S}_0$ channel as well as central and tensor potentials in ${}^3{S}_1-$${}^3{D}_1$ channel, and find that the tensor potential for ${\Lambda }_{c}N$ is negligibly weak and central potentials in both ${}^1{S}_0$ and ${}^3{S}_1-$${}^3{D}_1$ channels are almost identical with each other except at short distances. Phase shifts and scattering lengths calculated with these potentials show that the interaction of ${\Lambda }_{c}N$ system is attractive and has a similar strength in ${}^1{S}_0$ and ${}^3{S}_1$ channels at low energies (i.e. the kinetic energy less than about $40$ MeV). While the attractions are not strong enough to form two-body bound states, our results lead to a possibility to form ${\Lambda }_c$ hypernuclei for sufficiently large atomic numbers ($A$). To demonstrate this, we derive a single-folding potential for ${\Lambda }_c$ hypernuclei from the ${\Lambda }_c$-nucleon potential obtained in lattice QCD, and find that ${\Lambda }_c$ hypernuclei can exist for $A\ge 12$ with the binding energies of a few MeV. We also estimate the Coulomb effect for the ${\Lambda }_c$ hypernuclei.

arXiv comment27 pages, 10 figures, 4 tables

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• Scattering of charmed baryons on nucleons
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
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• Resonance in the $Y_{c}N$ potential model
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• Charmed nuclei within a microscopic many-body approach
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• ${\Lambda }_{c}N$ interaction in leading order covariant chiral effective field theory
• Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations
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• Charmed baryons in nuclear matter
• Spectrum of two-flavored spin-zero heavy dibaryons in lattice QCD
• Charmed dibaryon resonances in the potential quark model
• Single ${\Lambda }_c^{+}$ hypernuclei within quark mean-field model
• Folding procedure for $\Omega$-$\alpha$ potential
• Exploring the $\varphi \text{-}\alpha$ interaction via femtoscopic study
• Femtoscopic study of the $\Omega \alpha$ interaction in heavy-ion collisions
• Probing Nucleon-${\Omega }_{\mathrm{ccc}}$Interaction via Lattice QCD at Physical Quark Masses
• S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method
• Coupled-channel ${\Lambda }_c{K}^{+}-p{D}_s$ Interaction in Flavor $\text{SU}\left(3\right)$ Limit of Lattice QCD
• Ground State Properties of Charmed Hypernuclei with Mean Field Approach
• Asymptotic behavior of Nambu-Bethe-Salpeter wave functions for scalar systems with a bound state
• Charmed hypernuclei within density-dependent relativistic mean-field theory
• Predicting possible molecular states of nucleons with ${\Xi }_c$, ${\Xi }_c^{\ast }$, and ${\Xi }_c^{\prime }$
• Hermitizing the HAL QCD potential in the derivative expansion
• Bound States of $\Omega$ Baryons in Light Nuclei