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- 2015
有限体积内的K-π相互作用和K*共振态
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Abstract:
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P波K-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P波K-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.
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.
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