Lattice QCD study of ${\Lambda }_c{\Lambda }_c$ scattering

Abstract

We present the first lattice result of the near threshold ${\Lambda }_c{\Lambda }_c$ scattering with $I(J^P)=0(0^{+})$. The calculation is performed on two $N_f=2+1$ Wilson-Clover ensembles with pion mass $m_{\pi }\sim 303$\,MeV and lattice spacing $a=0.07746$\,fm. The Lüscher's finite volume method is utilized to extract the scattering parameters from the finite-volume spectrum. The coupled channel ${\Xi }_{cc}N$ is ignored in the scattering analysis based on the observation that the energy levels computed from the ${\Lambda }_c{\Lambda }_c$ and ${\Xi }_{cc}N$ operators do not mix. The ${\Sigma }_c{\Sigma }_c$ channel is not included either since the energy range explored in this study is well below its threshold. Our results indicate that the interaction in the ${\Lambda }_c{\Lambda }_c$ single channel is repulsive, and the scattering length is determined to be $a_0=-0.21(4)(8)$\,fm, where the first error is the statistical error and the second is the systematic error.

9 pages, 6 figures

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