Spectrum of two-flavored spin-zero heavy dibaryons in lattice QCD

Abstract

We present the ground state energy spectra of two-flavored heavy dibaryons in the spin-singlet channel. In particular, the ground state masses of ${\Omega }_{llQ}{\Omega }_{llQ},{\Omega }_{QlQ}{\Omega }_{llQ}$ and ${\Omega }_{QlQ}{\Omega }_{QlQ}$ states are computed and compared with their respective lowest non-interacting energy levels, where the flavor $Q\in (c,b)$ denotes charm and bottom quarks, and the other flavor $l\in s,c,b$ represents strange, charm and bottom, respectively. Considering their valence quark structures, these hadrons could be thought of as the heavy flavor analogues of spin-singlet nucleon-nucleon states. The gauge configurations employed in this study are HISQ ensembles with $N_f=2+1+1$ flavors, generated by the MILC collaboration, at four lattice spacings, namely $a=0.1207,0.0888,0.0582$ and $0.0448$ fm. The aforementioned states are also computed at different quark masses, between $m_s\le m_l\le m_b$, including at unphysical heavy quark masses, to explore the quark mass dependence of any possible binding. For the dibaryon states ${\Omega }_{bbc}{\Omega }_{bbc},{\Omega }_{ccb}{\Omega }_{ccb}$ and ${\Omega }_{ccb}{\Omega }_{bbc}$, we find a clear evidence of an energy level below their respective non-interacting energy levels. In addition, for these dibaryons at quark masses $m_c<m_l\le m_b$, a trend is found where the gap, between the lowest energy levels and the respective lowest non-interacting levels, increases as the quark mass $m_l$ increases. We also study the heavy quark spin-symmetry and its breaking for these heavy dibaryons.

arXiv comment15 pages, 7 figures, minor changes, fixed typos, matches published version

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• Study of the ${\Omega }_{ccc}{\Omega }_{ccc}$ and ${\Omega }_{bbb}{\Omega }_{bbb}$ dibaryons in QCD Sum Rules