北京航空航天大学学报 ›› 2015, Vol. 41 ›› Issue (6): 1007-1011.doi: 10.13700/j.bh.1001-5965.2014.0411

• 论文 • 上一篇    下一篇

有限体积内的K-π相互作用和K*共振态

周丹, 崔二亮, 陈华星, 耿立升, 沈成平   

  1. 北京航空航天大学 物理科学与核能工程学院, 北京 100191
  • 收稿日期:2014-07-09 出版日期:2015-06-20 发布日期:2015-07-30
  • 通讯作者: 陈华星(1982—),男,贵州安顺人,副教授,hxchen@buaa.edu.cn,主要研究方向为粒子物理、理论物理. E-mail:hxchen@buaa.edu.cn
  • 作者简介:周丹(1989—),女,河北邢台人,博士研究生,danxueqing@126.com
  • 基金资助:
    中央高校基本科研业务费专项资金(YWF-14-WLXY-013,YWF-14-WLXY-014,YWF-14-WLXY-018)

K-π interaction in finite volume and the K* resonance

ZHOU Dan, CUI Erliang, CHEN Huaxing, GENG Lisheng, SHEN Chengping   

  1. School of Physics and Nuclear Energy Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2014-07-09 Online:2015-06-20 Published:2015-07-30

摘要: 为了找到一种获得K-π相移的有效方法,并从格点计算得到的能级中获取K*介子的性质,首先使用手征幺正理论研究了有限体积中的PK-π相互作用.这种方法曾在无限空间中成功地应用于计算K-π相移.然后用这种方法计算得到作为立方体盒子尺寸和π介子质量的函数的PK-π散射振幅的能级;并计算了K-π散射的相移以及基于该结果的K*介子的物理性质.最后,为了和格点量子色动力学(QCD)计算结果进行比较,又在π介子取非物理质量时计算得到了K*介子的能级.比较表明:文中方法与格点QCD得到的结果基本一致.当介子能量为266 MeV时,本文方法得到的两个能级分别为924.0 MeV和1483.0 MeV,其结果与格点QCD得到的915.6 MeV和1522.3 MeV的两个能级符合得很好.

关键词: 手征幺正模型, 格点QCD, K-π相互作用, 散射, B-S方程

Abstract: Firstly, the K-π interaction in P-wave in a finite volume using the chiral unitary approach was studied, to find an efficient strategy to obtain K-π phase shifts and thus the K* meson properties from energy levels could be obtained in lattice calculations. This method has been applied to provide K-π shifts in infinite space very successfully. Secondly, the energy levels, which are functions of the cubic box size and the pion mass, were evaluated, and the K-π phase shifts were evaluated based on the physical properties of K* meson. Finally, in order to compare with the lattice quantum chromodynamics (QCD) results, non-physical pion masses were adopted to calculate energy levels of the K* meson. Comparison shows that results from approach mentioned above agree well with those from lattice QCD: using pion mass 266 MeV, we obtain two energy levels, 924.0 MeV and 1483.0 MeV respectively, which accord well with the lattice QCD results, 915.6 MeV and 1522.3 MeV respectively.

Key words: chiral unitary model, lattice quantum chromodynamics (QCD), K-π interaction, scattering, B-S equation

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