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

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

doi:10.1093/ptep/ptv091

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

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

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

We investigate the interaction between Ω baryons in the ¹S₀ channel from 2+1-flavor lattice quantum chromodynamics (QCD) simulations. On the basis of the HAL QCD method, the ΩΩ 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 ≃ 700MeV and m_Ω ≃ 1970MeV. The ΩΩ 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 ΩΩ system with the present quark masses may appear close to the unitary limit where the scattering length diverges.

Original language	English
Article number	071B01
Journal	Progress of Theoretical and Experimental Physics
Volume	2015
Issue number	7
DOIs	https://doi.org/10.1093/ptep/ptv091
Publication status	Published - Jul 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1093/ptep/ptv091

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title = "Omega-omega interaction from 2+1-flavor lattice quantum chromodynamics",

abstract = "We investigate the interaction between Ω baryons in the 1S0 channel from 2+1-flavor lattice quantum chromodynamics (QCD) simulations. On the basis of the HAL QCD method, the ΩΩ 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 mπ ≃ 700MeV and mΩ ≃ 1970MeV. The ΩΩ 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 ΩΩ system with the present quark masses may appear close to the unitary limit where the scattering length diverges.",

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

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doi = "10.1093/ptep/ptv091",

language = "English",

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T1 - Omega-omega interaction from 2+1-flavor lattice quantum chromodynamics

AU - Yamada, Masanori

AU - Sasaki, Kenji

AU - Aoki, Sinya

AU - Doi, Takumi

AU - Hatsuda, Tetsuo

AU - Ikeda, Yoichi

AU - Inoue, Takashi

AU - Ishii, Noriyoshi

AU - Murano, Keiko

AU - Nemura, Hidekatsu

PY - 2015/7

Y1 - 2015/7

N2 - We investigate the interaction between Ω baryons in the 1S0 channel from 2+1-flavor lattice quantum chromodynamics (QCD) simulations. On the basis of the HAL QCD method, the ΩΩ 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 mπ ≃ 700MeV and mΩ ≃ 1970MeV. The ΩΩ 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 ΩΩ system with the present quark masses may appear close to the unitary limit where the scattering length diverges.

AB - We investigate the interaction between Ω baryons in the 1S0 channel from 2+1-flavor lattice quantum chromodynamics (QCD) simulations. On the basis of the HAL QCD method, the ΩΩ 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 mπ ≃ 700MeV and mΩ ≃ 1970MeV. The ΩΩ 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 ΩΩ system with the present quark masses may appear close to the unitary limit where the scattering length diverges.

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ER -

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

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