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HEAVY PSEUDOSCALAR-MESON DECAY CONSTANTS WITH STRANGENESS FROM THE EXTENDED NONLOCAL CHIRAL-QUARK MODEL

2012/01/31 by Seung-il Nam, SEUNG-IL NAM
Physics and Astronomy · #Cabibbo–Kobayashi–Maskawa matrix #Field (mathematics) #Field theory (psychology) #Meson #Particle physics theoretical and experimental studies #Pseudoscalar #Pseudoscalar meson #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quark #Strangeness #Symmetry (geometry) #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1142/s0217732312501532

12 pages, 7 figures, accepted for publication in Mod. Phys. Lett. A

arxiv created 2012/08/16 · openalex publication_date 2012/08/16 · arxiv updated 2012/08/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the weak-decay constants for the heavy pseudoscalar mesons, D, D s , B and B s . For this purpose, we employ the extended nonlocal chiral-quark model (ExNLChQM), motivated by the heavy-quark effective field theory as well as the instanton-vacuum configuration. In addition to the heavy-quark symmetry and the nonlocal interactions between quarks and pseudoscalar mesons in ExNLChQM, a correction for the strange-quark content inside D s and B s is also taken into account and found to be crucial to reproduce the empirical values. From those numerical results, we obtain f D, D s , B, B s = (207.53, 262.56, 208.13, 262.39) MeV , which are in good agreement with experimental data and other theoretical estimations. Using those numerical results, we estimate the CKM matrix elements and the Cabibbo angle with the various mesonic and leptonic heavy-meson decay channels, resulting in (|V cd |, |V cs |, |V ub |, |V td |/|V ts |) = (0.224, 0.968, <5.395×10 -3 , 0.215) and θ C = 12.36° which are well compatible with available data.

Citations