Two-baryon potentials and H-dibaryon from 3-flavor lattice QCD simulations

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

doi:10.1016/j.nuclphysa.2012.02.008

Two-baryon potentials and H-dibaryon from 3-flavor lattice QCD simulations

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

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

161 Citations (Scopus)

Abstract

Baryon-baryon potentials are obtained from 3-flavor QCD simulations with the lattice volume L≃4 fm, the lattice spacing a≃0.12 fm, and the pseudo-scalar-meson mass M _ps=469-1171 MeV. The NN scattering phase-shifts and the mass of H-dibaryon in the flavor SU(3) limit are extracted from the resultant potentials by solving the Schrödinger equation. The NN phase-shifts in the SU(3) limit is shown to have qualitatively similar behavior as the experimental data. A bound H-dibaryon in the SU(3) limit is found to exist in the flavor-singlet J ^P=0 ⁺ channel with the binding energy of about 26 MeV for the lightest quark mass M _ps=469 MeV. Effect of flavor SU(3) symmetry breaking on the H-dibaryon is estimated by solving the coupled-channel Schrödinger equation for ΛΛ-NΞ-σσ with the physical baryon masses and the potential matrix obtained in the SU(3) limit: a resonant H-dibaryon is found between ΛΛ and NΞ thresholds in this treatment.

Original language	English
Pages (from-to)	28-43
Number of pages	16
Journal	Nuclear Physics A
Volume	881
DOIs	https://doi.org/10.1016/j.nuclphysa.2012.02.008
Publication status	Published - May 1 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/j.nuclphysa.2012.02.008

Cite this

@article{b5f5233b47804264a39005d4059a4084,

title = "Two-baryon potentials and H-dibaryon from 3-flavor lattice QCD simulations",

abstract = "Baryon-baryon potentials are obtained from 3-flavor QCD simulations with the lattice volume L≃4 fm, the lattice spacing a≃0.12 fm, and the pseudo-scalar-meson mass M ps=469-1171 MeV. The NN scattering phase-shifts and the mass of H-dibaryon in the flavor SU(3) limit are extracted from the resultant potentials by solving the Schr{\"o}dinger equation. The NN phase-shifts in the SU(3) limit is shown to have qualitatively similar behavior as the experimental data. A bound H-dibaryon in the SU(3) limit is found to exist in the flavor-singlet J P=0 + channel with the binding energy of about 26 MeV for the lightest quark mass M ps=469 MeV. Effect of flavor SU(3) symmetry breaking on the H-dibaryon is estimated by solving the coupled-channel Schr{\"o}dinger equation for ΛΛ-NΞ-σσ with the physical baryon masses and the potential matrix obtained in the SU(3) limit: a resonant H-dibaryon is found between ΛΛ and NΞ thresholds in this treatment.",

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

note = "Funding Information: We thank K.-I. Ishikawa and PACS-CS group for providing their DDHMC/PHMC code [38], and authors and maintainer of CPS++ [39], whose modified version is used in this paper. Numerical computations of this work have been carried out at Univ. of Tsukuba supercomputer system (T2K). This research is supported in part by Grant-in-Aid for Scientific Research on Innovative Areas (Nos. 2004:20105001, 20105003) and for Scientific Research(C) 23540321, JSPS 21·5985 and SPIRE (Strategic Program for Innovative REsearch).",

year = "2012",

month = may,

day = "1",

doi = "10.1016/j.nuclphysa.2012.02.008",

language = "English",

volume = "881",

pages = "28--43",

journal = "Nuclear Physics A",

issn = "0375-9474",

publisher = "Elsevier",

}

TY - JOUR

T1 - Two-baryon potentials and H-dibaryon from 3-flavor lattice QCD simulations

AU - Inoue, Takashi

AU - Aoki, Sinya

AU - Doi, Takumi

AU - Hatsuda, Tetsuo

AU - Ikeda, Yoichi

AU - Ishii, Noriyoshi

AU - Murano, Keiko

AU - Nemura, Hidekatsu

AU - Sasaki, Kenji

N1 - Funding Information: We thank K.-I. Ishikawa and PACS-CS group for providing their DDHMC/PHMC code [38], and authors and maintainer of CPS++ [39], whose modified version is used in this paper. Numerical computations of this work have been carried out at Univ. of Tsukuba supercomputer system (T2K). This research is supported in part by Grant-in-Aid for Scientific Research on Innovative Areas (Nos. 2004:20105001, 20105003) and for Scientific Research(C) 23540321, JSPS 21·5985 and SPIRE (Strategic Program for Innovative REsearch).

PY - 2012/5/1

Y1 - 2012/5/1

N2 - Baryon-baryon potentials are obtained from 3-flavor QCD simulations with the lattice volume L≃4 fm, the lattice spacing a≃0.12 fm, and the pseudo-scalar-meson mass M ps=469-1171 MeV. The NN scattering phase-shifts and the mass of H-dibaryon in the flavor SU(3) limit are extracted from the resultant potentials by solving the Schrödinger equation. The NN phase-shifts in the SU(3) limit is shown to have qualitatively similar behavior as the experimental data. A bound H-dibaryon in the SU(3) limit is found to exist in the flavor-singlet J P=0 + channel with the binding energy of about 26 MeV for the lightest quark mass M ps=469 MeV. Effect of flavor SU(3) symmetry breaking on the H-dibaryon is estimated by solving the coupled-channel Schrödinger equation for ΛΛ-NΞ-σσ with the physical baryon masses and the potential matrix obtained in the SU(3) limit: a resonant H-dibaryon is found between ΛΛ and NΞ thresholds in this treatment.

AB - Baryon-baryon potentials are obtained from 3-flavor QCD simulations with the lattice volume L≃4 fm, the lattice spacing a≃0.12 fm, and the pseudo-scalar-meson mass M ps=469-1171 MeV. The NN scattering phase-shifts and the mass of H-dibaryon in the flavor SU(3) limit are extracted from the resultant potentials by solving the Schrödinger equation. The NN phase-shifts in the SU(3) limit is shown to have qualitatively similar behavior as the experimental data. A bound H-dibaryon in the SU(3) limit is found to exist in the flavor-singlet J P=0 + channel with the binding energy of about 26 MeV for the lightest quark mass M ps=469 MeV. Effect of flavor SU(3) symmetry breaking on the H-dibaryon is estimated by solving the coupled-channel Schrödinger equation for ΛΛ-NΞ-σσ with the physical baryon masses and the potential matrix obtained in the SU(3) limit: a resonant H-dibaryon is found between ΛΛ and NΞ thresholds in this treatment.

UR - http://www.scopus.com/inward/record.url?scp=84860347298&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860347298&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2012.02.008

DO - 10.1016/j.nuclphysa.2012.02.008

M3 - Article

AN - SCOPUS:84860347298

SN - 0375-9474

VL - 881

SP - 28

EP - 43

JO - Nuclear Physics A

JF - Nuclear Physics A

ER -

Two-baryon potentials and H-dibaryon from 3-flavor lattice QCD simulations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this