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2024年10月30日

Study of singlet-triplet mixing via semileptonic decays

  • The singlet-triplet mixing of 1P1-3P1 is studied via calculating the branching ratios of semileptonic decay Bs→Ds1lν and B→D1lν by means of the instantaneous Bethe-Salpeter method. Special attention is paid to the relativistic corrections, since they are large for the P-wave states. Using the Mandelstam Formalism, we compute the transition form factors not only in the high-energy lepton end-point region but also in the full Q2 region. And the non-perturbative QCD effects are taken care of in the overlapping integral over the relativistic wave functions of the initial and nial states.
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  • [1] Rosner J. Comm. Nucl. Part. Phys., 1986, 16: 109[2] Isgur N, Wise M B. Phys. Rev. D, 1991, 43: 819[3] Godfrey S, Kokoski R. Phys. Rev. D, 1981, 43: 1679[4] Isgur N, Wise M B. Phys. Lett. B, 1989, 232: 113; 1990, 237: 527[5] Voloshin M B, Shifman M A. Sov. J. Nucl. Phys. 1987, 45: 292; 1988, 47: 511[6] Aliev T M, Azizi K, Ozpineci A. Eur. Phys. J. C, 2007, 51: 593[7] ZHAO Shu-Min, LIU Xiang, LI Shuang-Jiu. Eur. Phys. J. C, 2007, 51: 601[8] Segovia J et al. Phys. Rev. D, 84: 094029[9] HUANG Ming-Qiu. Phys. Rev. D, 2004, 69: 114015[10] Scora D, Isgur N. Phys. Rev. D, 1995, 52: 2783[11] Salpeter E E, Bethe H A. Phys. Rev., 1951, 84: 1232[12] Salpeter E E. Phys. Rev. 1952, 87: 328[13] Mandelstam S. Proc. R. Soc. London, 1955, 233: 248[14] Isgur N, Scora D, Grinstein B, Wise M B. Phys. Rev. D, 1989, 39: 799[15] CHANG Chao-Hsi, CHEN Jiao-Kai, WANG Guo-Li. Commun. Theor. Phys., 2006, 46: 467[16] Kim C S, WANG Guo-Li. Phys. Lett. B, 2004, 584: 285[17] WANG Guo-Li. Phys. Lett. B, 2007, 650: 15[18] Ebert D, Faustov R N, Galkin V O. Eur. Phys. J. C, 2010, 66: 197[19] Particle Data Group. J. Phys. G, 2010, 37: 1[20] Ebert D, Faustov R N, Galkin V O. Phys. Rev. D, 2000, 61: 014016[21] Mayorga H B, Briceno A Moreno, Munoz J H. J. Phys. G, 2003, 29: 2059[22] Abazov V M et al. (D0 collaboration). Phys. Rev. Lett., 2009, 102: 051801[23] Abe K et al. (Belle collaboration). Phys. Rev. D, 2004, 69: 112002[24] Liventsev D et al. (Belle collaboration). Phys. Rev. D, 2008, 77: 091503[25] Aubert B et al. (BABAR collaboration). Phys. Rev. Lett., 2008, 101: 261802[26] Aubert B et al. (BABAR collaboration). Phys. Rev. Lett., 2009, 103: 051803
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JIANG Yue, WANG Guo-Li, WANG Tian-Hong and JU Wan-Li. Study of singlet-triplet mixing via semileptonic decays[J]. Chinese Physics C, 2013, 37(1): 013101. doi: 10.1088/1674-1137/37/1/013101
JIANG Yue, WANG Guo-Li, WANG Tian-Hong and JU Wan-Li. Study of singlet-triplet mixing via semileptonic decays[J]. Chinese Physics C, 2013, 37(1): 013101.  doi: 10.1088/1674-1137/37/1/013101 shu
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Received: 2012-03-02
Revised: 2012-04-05
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Study of singlet-triplet mixing via semileptonic decays

Abstract: The singlet-triplet mixing of 1P1-3P1 is studied via calculating the branching ratios of semileptonic decay Bs→Ds1lν and B→D1lν by means of the instantaneous Bethe-Salpeter method. Special attention is paid to the relativistic corrections, since they are large for the P-wave states. Using the Mandelstam Formalism, we compute the transition form factors not only in the high-energy lepton end-point region but also in the full Q2 region. And the non-perturbative QCD effects are taken care of in the overlapping integral over the relativistic wave functions of the initial and nial states.

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