SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD

SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD
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DOI:
10.1103/physrevd.80.054502
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发表时间:
2009-05
期刊:
影响因子:
5
通讯作者:
K. Ishikawa;N. Ishizuka;T. Izubuchi;D. Kadoh;K. Kanaya;Y. Kuramashi;Y. Namekawa;M. Okawa;Y. Taniguchi;A. Ukawa;N. Ukita;T. Yoshie
K. Ishikawa;N. Ishizuka;T. Izubuchi;D. Kadoh;K. Kanaya;Y. Kuramashi;Y. Namekawa;M. Okawa;Y. Taniguchi;A. Ukawa;N. Ukita;T. Yoshie
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
K. Ishikawa;N. Ishizuka;T. Izubuchi;D. Kadoh;K. Kanaya;Y. Kuramashi;Y. Namekawa;M. Okawa;Y. Taniguchi;A. Ukawa;N. Ukita;T. Yoshie

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我们使用 SU(3) 重重子手性微扰理论研究了 $2+1$ 风味晶格 QCD 中重子质量对夸克质量的依赖性,直至单环阶。用于分析的重子质量数据是针对3至24 MeV的简并上下夸克质量以及该物理值附近的两种奇夸克质量获得的。我们发现,如果介子-重子耦合采用唯象值,SU(3) 手性展开式无法描述八重态和十重态重子数据。 SU(2) 情况还检查了核子。我们观察到高阶项仅控制在物理点周围。我们还使用 SU(3) 重重子手性微扰理论评估有限尺寸效应,即使在物理点也发现了 1% 量级的小值。
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 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 chiral perturbation theory, finding small values of order 1% even at the physical point.