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Prog. Theor. Phys. Vol. 124 No. 2 (2010) pp. 285-292

Mixing Angle between ³P₁ and ¹P₁ in HQET

Takayuki Matsuki,^1,* Toshiyuki Morii^2,** and Koichi Seo^3,***

¹Tokyo Kasei University, Tokyo 173-8602, Japan
²Graduate School of Human Development and Environment, Kobe University, Kobe 657-8501, Japan
³Gifu City Women's College, Gifu 501-0192, Japan

(Received May 12, 2010)

Abstract:

Some claim that there are two independent mixing angles (θ= 35.3°, -54.7°) between ³P₁ and ¹P₁ states of heavy-light mesons in the heavy quark symmetric limit, and others claim there is only one (θ= 35.3°). We clarify the difference between these two and suggest which should be adopted. General arguments on the mixing angle between ³L_L and ¹L_L of heavy-light mesons are given in HQET and a general relation is derived in the heavy quark symmetric limit as well as that including the first-order correction in 1/m_Q.

Subject Index : 169, 232
URL : http://ptp.ipap.jp/link?PTP/124/285/
DOI : 10.1143/PTP.124.285

^*E-mail: matsuki@tokyo-kasei.ac.jp
^**E-mail: morii@kobe-u.ac.jp
^***E-mail: seo@gifu-cwc.ac.jp

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References:

1. J. L. Rosner, Comments Nucl. Part. Phys. 16 (1986), 109, EFI85/91 (Dec. 1985).
2. S. Godfrey and R. Kokoski, Phys. Rev. D 43 (1991), 1679[APS].
3. J. Morishita, M. Kawaguchi and T. Morii, Phys. Rev. D 37 (1988), 159[APS].
4. T. Matsuki and T. Morii, Phys. Rev. D 56 (1997), 5646[APS].
   There are typos in this paper: signs of off-diagonal elements of Eqs. (50) and (51) expressing mixing between ^2S+1L_j's should be interchanged.
5. T. Matsuki, T. Mawatari, T. Morii and K. Sudoh, hep-ph/0408326[e-print arXiv].
6. T. Barnes, N. Black and P. R. Page, Phys. Rev. D 68 (2003), 054014[APS].
7. F. E. Close and E. S. Swanson, Phys. Rev. D 72 (2005), 094004[APS].
8. T. Matsuki, T. Morii and K. Sudoh, Prog. Theor. Phys. 117 (2007), 1077[PTP].
9. R. N. Cahn and J. D. Jackson, Phys. Rev. D 68 (2003), 037502[APS].
10. M. E. Rose, Relativistic Electron Theory (Wiley, 1961).
    J. J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, 1967).
11. An incomplete list of papers, as far as we know, which adopt this transformation is given as follows:
    B. Chen, D.-X. Wang and A. Zhang, Phys. Rev. D 80 (2009), 071502, [APS]see Table II.
    Z.-F. Sun and X. Liu, Phys. Rev. D 80 (2009), 074037[APS].
    Z.-G. Luo, X.-L. Chen and X. Liu, Phys. Rev. D 79 (2009), 074020[APS].
12. V. Balagura et al. (Belle Collaboration), Phys. Rev. D 77 (2007), 032001[APS].

Citing Article(s) :

1. Progress of Theoretical Physics Supplement No. 186 (2010) pp. 148-154 :

   Decay Properties of the Heavy-Light Mesons

   Takayuki Matsuki and Koichi Seo

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