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arXiv · 1602.07797

$Λ_c-N$ interaction from lattice QCD

Takaya Miyamoto·for HAL QCD Collaboration
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Abstract

We investigate the s-wave $Λ_c-N$ interaction for spin singlet systems($^1S_0$) using the HAL QCD method. In our lattice QCD simulations, we employ gauge configurations generated by the PACS-CS Collaboration at $a = 0.0907(13)$ fm on a $32^3 \times 64$ lattice ($La = 2.902(42)$ fm). We employ two ensembles, one at $m_π= 700(1)$ MeV and the other at $m_π= 570(1)$ MeV to study the quark mass dependence of the $Λ_c-N$ interactions. We calculate a $^1S_0$ central potential not only for the $Λ_c-N$ system but also for $Λ-N$ system to understand the role of heavy charm quarks in $Λ_c-N$ system. We find repulsion at short distance and attraction at mid-range for both the $Λ_c-N$ and the $Λ-N$ potentials. The short range repulsion of the $Λ_c-N$ potential is smaller than that of the $Λ-N$ potential, and the attraction of the $Λ_c-N$ potential is small compared with the $Λ-N$ potential. The phase shift and scattering length calculated with these potentials show that there exist no bound state for both the $Λ_c-N$ and $Λ-N$ systems for $m_π > 570$ MeV.

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BibTeXRIS

Takaya Miyamoto, for HAL QCD Collaboration. 2016-02-25. $Λ_c-N$ interaction from lattice QCD. https://arxiv.org/abs/1602.07797

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