Non-leptonic Weak Interaction with Quark Matter in Magnetic Field

  • We investigate the non-leptonic weak interaction in magnetic field and discuss the improvement of the previous method to analytically work out the rate for weak field case. Our result easily goes over to the field-free limit. Then we calculate the reaction rate in strong magnetic field where the charged particles are confined to the lowest Landau level. A strong magnetic field strongly suppress the rate, which will be foreseen to affect viscous dynamics in SQM. We also derive a few approximation formulae under given conditions that can be conveniently applied.
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  • [1] . Witten E. Phys. Rev., 1984, D30: 2722. Madsen J. Phys. Rev., 1993, D47: 3253. Heiselberg H. Phys. Scr., 1992, 46: 4854. Goyal A et al. Int. J. Mod. Phys., 2001, A16: 3475. Chakrabarty S. Int. J. Mod. Phys., 1998, A13: 1956. DAI Zi-Gao, LU Tan. Z. Phys., 1996, A355: 415-4207. Iwamoto N. Annals. Phys., 1982, 141: 18. Bandyopadhyay D et al. Phys. Rev., 1998, D58: I129. LIU Xue-Wen, ZHENG Xiao-Ping, HOU De-Fu. Astropar-ticle Physics, 2005, 24: 92-910. Robert C et al. Astrophys. J., 1983, 267: 35811. Chakrabarty S, Bandyopadhyay D, Pal S. Phys. Rev. Lett.,1997, 78: 289812. ZHOU Xia, TIAN Hai-Jun, ZHENG Xiao-Ping. HEP NP, 2007, 31: 38(in Chinese)(周霞, 田海俊, 郑小平. 高能物理与核物理, 2007, 31: 38)
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ZHOU Xia and ZHENG Xiao-Ping. Non-leptonic Weak Interaction with Quark Matter in Magnetic Field[J]. Chinese Physics C, 2007, 31(11): 1003-1009.
ZHOU Xia and ZHENG Xiao-Ping. Non-leptonic Weak Interaction with Quark Matter in Magnetic Field[J]. Chinese Physics C, 2007, 31(11): 1003-1009. shu
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Received: 2007-01-12
Revised: 2007-03-14
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Non-leptonic Weak Interaction with Quark Matter in Magnetic Field

    Corresponding author: ZHOU Xia,
  • Institute of Astrophysics, Huazhong Normal University, Wuhan 430079, China

Abstract: We investigate the non-leptonic weak interaction in magnetic field and discuss the improvement of the previous method to analytically work out the rate for weak field case. Our result easily goes over to the field-free limit. Then we calculate the reaction rate in strong magnetic field where the charged particles are confined to the lowest Landau level. A strong magnetic field strongly suppress the rate, which will be foreseen to affect viscous dynamics in SQM. We also derive a few approximation formulae under given conditions that can be conveniently applied.

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