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

• Published in: Progress of theoretical and experimental physics Vol. 2015; no. 7; p. 71
• Main Authors: Yamada, Masanori, Sasaki, Kenji, Aoki, Sinya, Doi, Takumi, Hatsuda, Tetsuo, Ikeda, Yoichi, Inoue, Takashi, Ishii, Noriyoshi, Murano, Keiko, Nemura, Hidekatsu
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.07.2015
• Subjects: B64; D34; D32
• ISSN: 2050-3911; 2050-3911
• DOI: 10.1093/ptep/ptv091

We investigate the interaction between $\Omega$ baryons in the ${^{1\!}S}_0$ channel from $2{+ }1$ -flavor lattice quantum chromodynamics (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 a lattice spacing of $a\simeq 0.09$ fm, a lattice volume of $L\simeq 2.9$ fm, and 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 distances and an attractive well at intermediate distances. 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.