Spectroscopy of heavy mesons expanded in 1/m{sub Q}

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.5646· OSTI ID:543895

Matsuki, T ^[1]; Morii, T ^[2]

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1. Tokyo Kasei University, 1-18-1 Kaga, Itabashi, Tokyo 173 (Japan)
2. Faculty of Human Development, Kobe University, 3-11 Tsurukabuto, Nada, Kobe 657 (Japan)

Starting from the semirelativistic Hamiltonian for a Q{bar q} 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/m{sub Q} with a heavy quark mass m{sub Q} and the lowest-order equation is examined carefully to obtain a complete set of eigenfunctions for the Schr{umlt o}dinger equation. Heavy quark effective theory parameters {bar {Lambda}}, {lambda}{sub 1}, and {lambda}{sub 2} are also determined at first and second order in 1/m{sub Q}. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 543895
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
CONFINEMENT
D MESONS
EIGENFUNCTIONS
FOLDY-WOUTHUYSEN TRANSFORM
HAMILTONIANS
HIGH SPIN STATES
MASS FORMULAE
MASS SPECTRA
PERTURBATION THEORY
POTENTIALS
SCHROEDINGER EQUATION
SPECTROSCOPY
WAVE FUNCTIONS