Omega-Omega interaction from 2+1-flavor lattice quantum chromodynamics

Masanori Yamada,Takumi Doi,Tetsuo Hatsuda,Sinya Aoki,Hidekatsu Nemura,Kenji Sasaki,Yoichi Ikeda,Keiko Murano,Noriyoshi Ishii,Takashi Inoue

doi:10.1093/ptep/ptv091

Abstract

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. Our data indicate that the $\Omega\Omega$ system with the present quark masses may appear close to the unitary limit where the scattering length diverges.

Highlights

Strange dibaryons attract considerable interest both theoretically and experimentally in hadron physics
We investigate the interaction between baryons in the 1S 0 channel from 2+1-flavor lattice quantum chromodynamics (QCD) simulations
On the basis of the HAL QCD method, the potential is extracted from the Nambu–Bethe–Salpeter wave function calculated on the lattice by using the PACS-CS gauge configurations with a lattice spacing of a 0.09 fm, a lattice volume of L 2.9 fm, and quark masses corresponding to m π 700 MeV and m

Summary

Introduction

Strange dibaryons attract considerable interest both theoretically and experimentally in hadron physics. On the basis of the HAL QCD method, the potential is extracted from the Nambu–Bethe–Salpeter wave function calculated on the lattice by using the PACS-CS gauge configurations with a lattice spacing of a 0.09 fm, a lattice volume of L 2.9 fm, and quark masses corresponding to m π 700 MeV and m The phase shift obtained from the potential shows moderate attraction at low energies.

Results

Conclusion