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TIAN Miaomiao, JIA Duojie, PANG Chengqun. Quasi-linear Mass Formula for Light Mesons in Quark Model[J]. Nuclear Physics Review, 2018, 35(1): 5-9. doi: 10.11804/NuclPhysRev.35.01.005
Citation: TIAN Miaomiao, JIA Duojie, PANG Chengqun. Quasi-linear Mass Formula for Light Mesons in Quark Model[J]. Nuclear Physics Review, 2018, 35(1): 5-9. doi: 10.11804/NuclPhysRev.35.01.005
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Quasi-linear Mass Formula for Light Mesons in Quark Model

doi: 10.11804/NuclPhysRev.35.01.005
  • 1.

    Institute of Theoretical Physics, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;

  • 2.

    College of Physics and Electronic Information Engineering, Qinghai Normal University, Xining 810008, China

Funds:  National Natural Science Foundation of China (11565023, 11265014); Applied Basic Research Project of Qinhai Province (2017-ZJ-748)
  • Received Date: 2017-11-07
  • Rev Recd Date: 2017-12-12
  • Publish Date: 2018-03-20
  • Recently, with the help of auxiliary field method, Ref.[1] obtains an analytical mass formula for nonstrange light mesons in quasi-relativistic quark model. In this work, we generalize this method to the case of strange light mesons, and obtain a mesonic mass formula which is flavor-dependent. The results show that the mass of low excitations given by the mass formula are in good agreement with the experimental data and the average error is around 30 MeV. Our mass predictions for the high states also agree well with the other calculations in the literatures, particularly, the string model calculations.
  • [1] JIA D J, PANG C Q, HOSAKA A. Int J Mod Phys A, 2017, 32:1750153.
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    [4] SEMAY C, SILVESTRE-BRAC B, NARODETSKⅡ I M. Phys Rev D, 2004, 69:014003.
    [5] KALASHNIKOVA YU S, NEFEDIEV A V. Phys Lett B, 2002, 530:117.
    [6] POLYAKOV A M. Gauge Fields and Strings[M]. New York:Harwood Academic Publishers, 1987.
    [7] GUBANKOVA E L, DUBIN A YU. Phys Lett B, 1994, 334:180[hep-ph/9408278].
    [8] MORGUNOV L, NEFEDIEV A V, SIMONOV YU A, Phys Lett B, 1999, 459:653.
    [9] PATRIGNANI C(Particle Data Group). Chin Phys C, 2016, 40:100001.
    [10] GODFREY S, ISGUR N, Phys Rev D, 1985, 32:189.
    [11] SONNENSCHEIN J, WEISSMAN D. JHEP, 2014, 8:13.
    [12] EBERT D, FAUSTOV R N, GALKIN V O. Phys Rev D, 2009, 79:114029.
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Quasi-linear Mass Formula for Light Mesons in Quark Model

doi: 10.11804/NuclPhysRev.35.01.005
  • 1. Institute of Theoretical Physics, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
  • 2. College of Physics and Electronic Information Engineering, Qinghai Normal University, Xining 810008, China
Funds:  National Natural Science Foundation of China (11565023, 11265014); Applied Basic Research Project of Qinhai Province (2017-ZJ-748)
  • Received Date: 2017-11-07
  • Rev Recd Date: 2017-12-12
  • Publish Date: 2018-03-20

Abstract: Recently, with the help of auxiliary field method, Ref.[1] obtains an analytical mass formula for nonstrange light mesons in quasi-relativistic quark model. In this work, we generalize this method to the case of strange light mesons, and obtain a mesonic mass formula which is flavor-dependent. The results show that the mass of low excitations given by the mass formula are in good agreement with the experimental data and the average error is around 30 MeV. Our mass predictions for the high states also agree well with the other calculations in the literatures, particularly, the string model calculations.

TIAN Miaomiao, JIA Duojie, PANG Chengqun. Quasi-linear Mass Formula for Light Mesons in Quark Model[J]. Nuclear Physics Review, 2018, 35(1): 5-9. doi: 10.11804/NuclPhysRev.35.01.005
Citation: TIAN Miaomiao, JIA Duojie, PANG Chengqun. Quasi-linear Mass Formula for Light Mesons in Quark Model[J]. Nuclear Physics Review, 2018, 35(1): 5-9. doi: 10.11804/NuclPhysRev.35.01.005
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