Effective meson lagrangian with chiral and heavy quark symmetries from quark flavor dynamics |
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| Institution: | 1. Institut für Physik, Humboldt-Universität, Invalidenstrasse 110, D-10115 Berlin, Germany;2. Institut für Theoretische Physik Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany;1. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. Cyclotron Institute and Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843-3366, USA;4. Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, China;1. Department of Physics, Southeast University, Nanjing 211189, China;2. Departamento de Física, Universidad Técnica Federico Santa María, and Centro Científico-Tecnológico de Valparaíso, Casilla 110-V, Valparaíso, Chile;1. SLAC National Accelerator Laboratory, Stanford University, Stanford, CA 94309, USA;2. IPNO, CNRS-IN2P3, Univ. Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France;3. iTHES Research Group, RIKEN, Wako, Saitama 351-0198, Japan;1. KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Oho 1-1, Tsukuba, Ibaraki, 305-0801, Japan;2. J-PARC Branch, KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, and Theory Group, Particle and Nuclear Physics Division, J-PARC Center, Shirakata 203-1, Tokai, Ibaraki, 319-1106, Japan;3. School of Physics and Microelectronics, Zhengzhou University, Zhengzhou, Henan 450001, China;4. CPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France;1. KEK Theory Center, Institute of Particle and Nuclear Studies (IPNS), High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki, 305-0801, Japan;2. J-PARC Branch, KEK Theory Center, IPNS, KEK, 203-1, Shirakata, Tokai, Ibaraki, 319-1106, Japan;3. Nihon University, College of Bioresource Sciences, Fujisawa 252-0880, Japan;4. General Education, Faculty of Engineering, Osaka Institute of Technology, Osaka 535-8585, Japan |
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| Abstract: | By bosonization of an extended NJL model we derive an effective meson theory which describes the interplay between chiral symmetry and heavy quark dynamics. This effective theory is worked out in the low-energy regime using the gradient expansion. The resulting effective lagrangian describes strong and weak interactions of heavy B and D mesons with pseudoscalar Goldstone bosons and light vector and axial-vector mesons. Heavy meson weak decay constants, coupling constants and the Isgur-Wise function are predicted in terms of the model parameters partially fixed from the light quark sector. Explicit SU(3)F symmetry breaking effects are estimated and, if possible, confronted with experiment. |
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