$\Omega\Omega$ interaction from 2+1 flavor lattice QCD

Understand

We investigate the interaction between $\Omega$ baryons in the $^1S_0$ channel from 2+1 flavor lattice QCD simulations.

• On the basis of the HAL QCD method, the $\Omega\Omega$ potential is extracted from the Nambu-Bethe-Salpeter wave function calculated on the lattice by using the PACS-CS gauge configurations with the lattice spacing $a\simeq 0.09$ fm, the lattice volume $L\simeq 2.9$ fm and the quark masses corresponding to $m_\pi \simeq 700$ MeV and $m_\Omega \simeq 1970$ MeV.
• The $\Omega\Omega$ potential has a repulsive core at short distance and an attractive well at intermediate distance.
• Accordingly, the phase shift obtained from the potential shows moderate attraction at low energies.