Decay constants of pseudoscalar mesons in a relativistic quark model

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.4151· OSTI ID:477078

Micu, L ^[1]

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1. Department of Theoretical Physics, Institute of Physics and Nuclear Engineering, Institute of Atomic Physics, P.O. Box MG-6, 76900 (Romania)

The decay constants of pseudoscalar mesons are calculated in a relativistic quark model which assumes that mesons are made of a valence quark-antiquark pair and of an effective vacuumlike component. The results are given as functions of quark masses and of some free parameters entering the expression of the internal wave functions of the mesons. Using F{sub {pi}{sup +}}=130.7 MeV, F{sub K{sup +}}=159.8 MeV to fix the parameters of the model, we predict 60MeV{le}F{sub D{sup +}}{le}185 MeV, 95MeV{le}F{sub D{sub s}}{le}230 MeV, 80MeV{le}F{sub B{sup +}}{le}205 MeV, 90MeV{le}F{sub B{sub s}}{le}235 MeV for the light quark masses m{sub u}=5.1 MeV, m{sub d}=9.3 MeV, m{sub s}=175 MeV and the heavy quark masses in the range 1GeV{le}m{sub c}{le}1.6 GeV, 4.1GeV{le}m{sub b}{le}4.5 GeV. In the case of light neutral mesons one obtains with the same set of parameters F{sub {pi}{sup 0}}{approx}138 MeV, F{sub {eta}}{approx}130 MeV, F{sub {eta}{sup {prime}}}{approx}78 MeV. The values are in agreement with the experimental data and other theoretical results. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 477078
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
D MESONS
MASS
PARTICLE DECAY
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUARK MODEL
RELATIVISTIC RANGE
WAVE FUNCTIONS