LEPTONIC DECAY WIDTHS OF VECTOR MESONS IN A RELATIVISTIC POTENTIAL MODEL

2014 ◽  
Vol 92 (5) ◽  
Author(s):  
S.N. Jena ◽  
R.N. Mishra ◽  
P.K. Nanda ◽  
S. Sahoo
Keyword(s):  
Potential Model ◽  
Transition Probability ◽  
Center Of Mass ◽  
Heavy Meson ◽  
Leptonic Decay ◽  
Vector Mesons ◽  
Electromagnetic Decay ◽  
Decay Constants ◽  
Decay Widths ◽  
Experimental Values

Leptonic decay widths and the corresponding decay constants of neutral vector mesons are calculated in the framework of a square-root potential model of independent quarks. Starting with the assumption that a strong correlation exists between the momenta of the quark and anti-quark inside the meson so as to have their total momenta identically zero in the center-of-mass frame of the meson, we find the quark and anti-quark momentum distribution amplitude which is used to determine the transition probability amplitude for the leptonic decay of mesons. The calculated results for leptonic decay widths and the electromagnetic decay constants for the vector mesons \rho, \omega, \phi and \psi are in good agrement with the corresponding experimental values. The results for the heavy meson \Upsilon are somewhat lower than the experimental values.

scholarly journals LEPTONIC DECAY OF HEAVY–LIGHT MESONS IN A QCD POTENTIAL MODEL

2013 ◽  
Vol 28 (02) ◽  
pp. 1350010 ◽  
Author(s):  
KRISHNA KINGKAR PATHAK ◽  
D. K. CHOUDHURY ◽  
N. S. BORDOLOI
Keyword(s):  
Wave Function ◽  
B Mesons ◽  
Potential Model ◽  
Branching Ratio ◽  
Leptonic Decay ◽  
Decay Constants ◽  
Decay Widths ◽  
Mesonic Wave Function ◽  
Experimental Values ◽  
The Masses

We study the masses and decay constants of heavy–light flavor mesons D, Ds, B and Bs in a QCD potential model. The mesonic wave function is used to compute the masses of D and B mesons in the ground state and the wave function is transformed to momentum space to estimate the pseudoscalar decay constants of these mesons. The leptonic decay widths and branching ratio of these mesons for different leptonic channels are also computed to compare with the experimental values. The results are found to be compatible with available data.

Leptonic decays of vector mesons in a power-law potential model of independent quarks

2014 ◽  
Vol 29 (13) ◽  
pp. 1450067 ◽  
Author(s):  
S. N. Jena ◽  
P. K. Nanda ◽  
S. Sahoo ◽  
P. Panda
Keyword(s):  
Power Law ◽  
Radiative Decay ◽  
Potential Model ◽  
Transition Probability ◽  
Leptonic Decay ◽  
Model Parameters ◽  
Vector Mesons ◽  
Leptonic Decays ◽  
Momentum Distribution Function ◽  
Decay Widths

A relativistic power-law potential model of independent quarks is used to study the leptonic decays of neutral vector mesons. Here, the transition probability amplitude for leptonic decay of meson is determined from the momentum distribution function which is found from the assumption of a strong correlation existing between the momenta of quark and antiquark inside the meson. The model parameters are first determined from the application of the model to study the ground state spectra of ρ, ω, ϕ, ψ and ϒ mesons together with the radiative decay widths of mesons. The same model with no adjustable parameters is then used to evaluate the leptonic decay widths and the electromagnetic decay constants for the vector mesons ρ, ω, ϕ, ψ and ϒ. The calculated results are in remarkable agreement with the corresponding experimental values.

Retraction: Leptonic decay widths of vector mesons in a relativistic potential model

2014 ◽  
Vol 92 (5) ◽  
pp. 458-458
Author(s):  
S.N. Jena ◽  
R.N. Mishra ◽  
P.K. Nanda ◽  
S. Sahoo
Keyword(s):  
Potential Model ◽  
Leptonic Decay ◽  
Vector Mesons ◽  
Decay Widths ◽  
Relativistic Potential

scholarly journals SCALING RELATION FOR THE $\Upsilon (4S)\to B\bar{B}$ AND $\psi (3770)\to D\bar{D}$ DECAY CONSTANTS FROM PHENOMENOLOGICAL SUM RULES

1995 ◽  
Vol 10 (28) ◽  
pp. 2113-2123 ◽  
Author(s):  
V.V. KISELEV
Keyword(s):  
Sum Rules ◽  
Heavy Meson ◽  
Scaling Relation ◽  
Coupling Constant ◽  
Exclusive Production ◽  
Decay Constants ◽  
Meson Coupling ◽  
Decay Widths ◽  
Heavy Quark Limit ◽  
Pair Contribution

The sum rules for exclusive production of heavy meson pairs in e+e− annihilation are used to evaluate the [Formula: see text] and [Formula: see text] decay widths. Infinitely heavy quark limit is discussed, and the scaling relation for the quarkonium-meson coupling constant is derived. The [Formula: see text] pair contribution into the leptonic constant fϒ(4S) is estimated.

scholarly journals A SYSTEMATIC STUDY ON NONRELATIVISTIC QUARKONIUM INTERACTION

2006 ◽  
Vol 21 (19n20) ◽  
pp. 3989-4002 ◽  
Author(s):  
SAMEER M. IKHDAIR ◽  
RAMAZAN SEVER
Keyword(s):  
Systematic Study ◽  
Mass Spectra ◽  
Potential Model ◽  
Expansion Method ◽  
Leptonic Decay ◽  
Large N ◽  
Decay Widths ◽  
Hyperfine Splittings ◽  
The Masses ◽  
Static Quark

A recently proposed strictly phenomenological static quark–antiquark potential belonging to the generality V(r) = -Ar-α + κrβ + V0 is tested with heavy quarkonia in the context of the shifted large N-expansion method. This nonrelativistic potential model fits the spin-averaged mass spectra of the [Formula: see text], [Formula: see text] and [Formula: see text] quarkonia within a few MeV and also the five experimentally known leptonic decay widths of the [Formula: see text] and [Formula: see text] vector states. Further, we compute the hyperfine splittings of the bottomonium spectrum as well as the fine and hyperfine splittings of the charmonium spectrum. We give predictions for not yet observed Bc splittings. The model is then used to predict the masses of the remaining quarkonia and the leptonic decay widths of the two pseudoscalar [Formula: see text] states. Our results are compared with other models to gauge the reliability of the predictions and point out differences.

A SYSTEMATIC STUDY ON NONRELATIVISTIC QUARK–ANTIQUARK INTERACTIONS

2005 ◽  
Vol 20 (17) ◽  
pp. 4113-4122 ◽  
Author(s):  
L. I. ABOU-SALEM
Keyword(s):  
Wave Equation ◽  
Systematic Study ◽  
Potential Model ◽  
Leptonic Decay ◽  
Experimental Results ◽  
Spin Dependence ◽  
Potential Models ◽  
Decay Widths ◽  
Phenomenological Potential

A simple phenomenological potential model is suggested to describe the interaction between the constituent quarks of meson systems. Taking the spin-dependence terms in consideration modifies some previous potential models. The resonance masses and the leptonic decay widths of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] mesons are calculated using the nonrelativistic wave equation. A comparison between the present calculations and the available experimental results are given.

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