1997/02/28 by Takayuki Matsuki, Toshiyuki Morii · 45 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry #Lambda #Mathematics #Meson #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Scalar (mathematics) #Spectroscopy #hep-ph
paper · pdf · doi:10.1103/physrevd.56.5646
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 56(9), 5646-5667 (American Physical Society) · 49 pages, 5 epsf figures
arxiv created 1997/03/06 · openalex publication_date 1997/11/01 · arxiv updated 2011/02/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Starting from the semirelativistic Hamiltonian for a Qq system with Coulomb and linear confining scalar potentials, and operating just once with the naive Foldy-Wouthuysen-Tani transformation on the heavy quark, we have calculated the heavy meson mass spectra of D and B together with higher spin states. Based on the formulation recently proposed, their masses and wave functions are expanded up to second order in 1/mQ with a heavy quark mass mQ and the lowest-order equation is examined carefully to obtain a complete set of eigenfunctions for the Schr"odinger equation. Heavy quark effective theory parameters \ensuremathΛ, \ensuremathλ1, and \ensuremathλ2 are also determined at first and second order in 1/mQ.