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arXiv · 1710.05545

$Λ_c N$ interaction from lattice QCD and its application to $Λ_c$ hypernuclei

Takaya Miyamoto·Sinya Aoki·Takumi Doi·Shinya Gongyo·Tetsuo Hatsuda·Yoichi Ikeda·Takashi Inoue·Takumi Iritani·Noriyoshi Ishii·Daisuke Kawai·Keiko Murano·Hidekatsu Nemura·Kenji Sasaki
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Abstract

The interaction between $Λ_c$ 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 $m_π\simeq 410,~570,~700$ MeV. We study the central potential in $^1S_0$ channel as well as central and tensor potentials in $^3S_1 - $$^3D_1$ channel, and find that the tensor potential for $Λ_c N$ is negligibly weak and central potentials in both $^1S_0$ and $^3S_1 - $$^3D_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 $Λ_c N$ system is attractive and has a similar strength in $^1S_0$ and $^3S_1$ 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 $Λ_c$ hypernuclei for sufficiently large atomic numbers ($A$). To demonstrate this, we derive a single-folding potential for $Λ_c$ hypernuclei from the $Λ_c$-nucleon potential obtained in lattice QCD, and find that $Λ_c$ hypernuclei can exist for $A \ge 12$ with the binding energies of a few MeV. We also estimate the Coulomb effect for the $Λ_c$ hypernuclei.

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Takaya Miyamoto, Sinya Aoki, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Daisuke Kawai, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki. 2018-04-12. $Λ_c N$ interaction from lattice QCD and its application to $Λ_c$ hypernuclei. https://doi.org/10.1016/j.nuclphysa.2018.01.015

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