重夸克有效场论下重子矩阵元的1/mQ展开及Λb->Λclv-衰变
1/mQ Expansion for Heavy Baryons and Λb->Λclv-Transition in HQEFT
DOI: 10.12677/MP.2013.35023, PDF, HTML, 下载: 3,069  浏览: 8,400  国家自然科学基金支持
作者: 邓英华*, 王问宇:北京科技大学数理学院,北京
关键词: 重夸克有效场论重子1/mQ展开Heavy Quark Effective Field Theory; Baryon; 1/mQ Expansion
摘要: 本文在重夸克有效场论框架下讨论了含有一个重夸克的重子间跃迁矩阵元的重夸克展开。该有效场论来自对完整QCD重夸克场的分解,其特点是有效拉氏密度中包括了正、反重夸克耦合项。本文将重子间跃迁矩阵元展开讨论到了阶,定义与重夸克自旋、味无关的波函数,得到形状因子、重子质量用这些波函数表示的1/mQ展开式。利用这些结果,文中从重子质量估计波函数的零反冲点值,并讨论了的衰变分支比。
Abstract: The transition matrix elements between heavy baryons each of which contains a single heavy quark are stud-ied in the framework of heavy quark effective field theory. The framework is derived from the full QCD and the heavy quark-antiquark coupling effects are manifestly included in the effective Lagrangian. The transition matrix elements between heavy baryons are expanded up to order . A set of heavy quark spin-flavor independent wave functions are defined to describe these transitions. The form factors and baryon masses are then related to these wave functions. Based on the 1/mQ expansion, we discuss the semileptonic branching fraction of .
文章引用:邓英华, 王问宇. 重夸克有效场论下重子矩阵元的1/mQ展开及Λb->Λclv-衰变[J]. 现代物理, 2013, 3(5): 161-167. http://dx.doi.org/10.12677/MP.2013.35023

参考文献

[1] Isgur, N. and Wise, M.B. (1989) Weak decays of heavy mesons in the static quark approximation. Physics Letters B, 232, 113-117.
[2] Isgur, N. (1990) Weak transition form factors between heavy mesons. Physics Letters B, 237, 527-530.
[3] Eichten, E. and Hill, B. (1990) Static effective field theory: 1/m corrections. Physics Letters B, 243, 427-431.
[4] Falk, A.F., Grinstein, B. and Luke, M.E. (1991) Leading mass corrections to the heavy quark effective theory. Nuclear Physics B, 357, 185-207.
[5] Luke, M. and Manohar, A.V. (1992) Reparameterisation invariance constraints on heavy particle effective field theories. Physics Letters B, 286, 348-354.
[6] Gulez, E., Gray, A., Wingate, M., Davies, C.T.H., Lepage, G.P. and Shigemitsu, J. (2006) B meson semileptonic form factors from unquenched lattice QCD. Physical Review D, 73, Article ID: 074502. Erratum-ibid. D, 75, Article ID: 119906.
[7] Bailey, J.A., Bernard, C., DeTar, C., Pierro, M.D., El-Khadra, A.X., Evans, R.T., Freeland, E.D., Gamiz, E., Gottlieb, S., Heller, U.M., Hetrick, J.E., Kronfeld, A.S., Laiho, J., Levkova, L., Mackenzie, P.B., Okamoto, M., Simone, J.N., Sugar, R., Toussaint, D. and Van de Water, R.S. (2009) B→πlν semileptonic form factor from three-flavor lattice QCD: A model-independent de-termination of |Vub|. Physical Review D, 79, Article ID: 054507.
[8] Falk, A.F. and Neubert, M. (1993) Second-order power correc-tions in the heavy-quark effective theory. I. Formalism and meson form factors. Physical Review D, 47, 2965-2981.
[9] Falk, A.F. and Neu-bert, M. (1993) Second-order power corrections in the heavy-quark effective theory. II. Baryon form factors. Physical Review D, 47, 2982-2990.
[10] Wang, W.Y., Wu Y.L. and Ye, F. (2011) Heavy quark expansion in and |Vcb| extraction. Journal of Physics G, 38, Article ID: 045004.
[11] Beringer, J., et al., Particle Data Group (2012) Review of particle physics. Physical Review D, 86010001, 33, 87, 91.
[12] Dai, Y.B., Huang, C.S., Huang, M.Q. and Liu, C. (1996) QCD sum rule analysis for the Λb → Λc semileptonic decay. Phys-ics Letters B, 387, 379-385.
[13] Holdom, B., Sutherland, M. and Mureika, J. (1994) Comparison of 1/mQ2 corrections in mesons and baryons. Physical Review D, 49, 2359-2362.
[14] Albertus, C., Hernández, E. and Nieves, J. (2005) Combined nonrelativistic con-stituent quark model and heavy quark effective theory study of se-mileptonic decays of Λb and Ξb baryons. Physical Review D, 71, Article ID: 014012.
[15] Jenkins, E., Manohar, A.V. and Wise, M.B. (1993) The baryon Isgur-Wise function in the large-Nc limit. Nuclear Physics B, 396, 38-52.
[16] Sadzikowski, M. andZalewski, K. (1993) Isgur-Wise functions from the MIT bag model. Zeitschrift fur Physik C, 59, 677-681.
[17] DELPHI Collaboration. Abdallah, J. (2004) Meas-urement of the Λb0 decay form factor. Physics Letters B, 585, 63-84.