SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>flavor lattice QCD

K.-I. Ishikawa, N. Ishizuka, T. Izubuchi, D. Kadoh, K. Kanaya, Y. Kuramashi, Y. Namekawa, M. Okawa, Y. Taniguchi, A. Ukawa, N. Ukita, T. Yoshié

doi:10.48550/arxiv.0905.0962

SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>flavor lattice QCD

DOI DOI Web Site Web Site 被引用文献7件オープンアクセス

書誌事項

公開日: 2009-09-03

権利情報

http://link.aps.org/licenses/aps-default-license

DOI

10.1103/physrevd.80.054502
10.48550/arxiv.0905.0962

公開者: American Physical Society (APS)

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説明

We investigate the quark mass dependence of baryon masses in 2+1 flavor lattice QCD using SU(3) heavy baryon chiral perturbation theory up to one-loop order. The baryon mass data used for the analyses are obtained for the degenerate up-down quark mass of 3 MeV to 24 MeV and two choices of the strange quark mass around the physical value. We find that the SU(3) chiral expansion fails to describe both the octet and the decuplet baryon data if phenomenological values are employed for the meson-baryon couplings. The SU(2) case is also examined for the nucleon. We observe that higher order terms are controlled only around the physical point. We also evaluate finite size effects using SU(3) heavy baryon chiralperturbation theory, finding small values of order 1% even at the physical point.

26 pages, 10 tables, 58 figures