Triply charmed baryons mass decomposition from lattice QCD

Abstract

We present the first calculation of the connected scalar matrix element and the momentum fraction of charm quark within the$\frac{3}{2}^{+}$ and $\frac{3}{2}^{-}$triply charmed baryons on lattice QCD. The results are based on overlap valence fermions on two ensembles of $N_f=2+1$ domain wall fermion configurations with two lattice spacings. The corresponding sea quark pion masses are $300$ MeV and $278$ MeV. The separated contributions to the triply charmed baryon mass are derived through the decomposition of the QCD energy-momentum tensor. The contribution of the connected charm quark matrix element to the triply charmed baryon is about 3/2 times that of the charmonium. And it contributes almost 70% of the total mass. The mass splitting of $\frac{3}{2}^{+}$ and $\frac{3}{2}^{-}$triply charmed baryons is mainly from $\langle H_{E}\rangle$ of the QCD energy-momentum tensor. A mass decomposition from the quark model is also studied for comparison.