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.

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.

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

Chiral particle/Photon emission from heavy-light mesons

2014 ◽  
Vol 29 ◽  
pp. 1460239
Author(s):  
Takayuki Matsuki ◽  
Kohichi Seo
Keyword(s):  
Radiative Decay ◽  
Potential Model ◽  
Lorentz Invariance ◽  
Photon Emission ◽  
Wave Functions ◽  
Relativistic Wave ◽  
Decay Widths ◽  
Light Mesons ◽  
Relativistic Potential

Partial decay widths of the heavy-light mesons, D, Ds, B, and Bs, emitting one chiral particle (π or K) or photon γ are evaluated in the framework of a relativistic potential model. Decay amplitudes are calculated by keeping the Lorentz invariance as far as possible and use has been made of the Lorentz-boosted relativistic wave functions of the heavy-light mesons. One of predictions of our calculation is very narrow widths of a few keV for yet undiscovered Bs(0+, 1+) mesons corresponding to 2S+1LJ = 3P0 and "3P1" assuming their masses to be 5617 and 5682 MeV, respectively, as calculated in our former paper. Sizable radiative decay widths of D* or [Formula: see text] are obtained by including the 1st order corrections in 1/mQ expansion, in the unit of keV; Γ(D*0 → D0 + γ) = 9.8, Γ (D*+ → D+ + γ) = 0.71, [Formula: see text] and large radiative decay widths of DsJ are obtained compared with non-relativistic results.

Vacuum Structure, Chiral Symmetry Breaking and Radiative Decays of Vector Mesons

1997 ◽  
Vol 06 (01) ◽  
pp. 121-134
Author(s):  
A. R. Panda ◽  
K. C. Roy
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Radiative Decay ◽  
Constituent Quark ◽  
Chiral Symmetry Breaking ◽  
Vector Mesons ◽  
Model Calculations ◽  
Vacuum Structure ◽  
Quark Field ◽  
Decay Widths

The radiative decay widths of vector mesons were considered in a model involving chiral symmetry breaking through a nontrivial vacuum structure where the pion and kaon being treating consistently yield the constituent quark wave functions, approximately the same as that obtained from the gap equations and thus in a way determine the constituent quark field operators. Like its earlier success to some low energy hadronic phenomena, here also the model calculations of radiative decay widths of mesons are in reasonable agreements with other theoretical estimations as well as experimental measurements.

ORBITALLY EXCITED STATES OF QUARKONIA IN A NONRELATIVISTIC MODEL

2012 ◽  
Vol 27 (03n04) ◽  
pp. 1250011 ◽  
Author(s):  
BHAGHYESH ◽  
K. B. VIJAYA KUMAR ◽  
YONG-LIANG MA
Keyword(s):  
Wave Function ◽  
Excited States ◽  
Mass Spectra ◽  
Radiative Decay ◽  
Theoretical Models ◽  
Model Parameters ◽  
Linear Potential ◽  
S Wave ◽  
Oscillator Wave Function ◽  
Decay Widths

Having succeeded in predicting the S wave spectra and decays of [Formula: see text] and [Formula: see text] mesons, Bhaghyesh, K. B. Vijaya Kumar and A. P. Monteiro, J. Phys. G: Nucl. Part. Phys.38, 085001 (2011), in this article, we apply our nonrelativistic quark model to calculate the spectra and decays of the orbitally excited states (P- and D-waves) of heavy quarkonia. The full [Formula: see text] potential used in our model consists of a Hulthen potential and a confining linear potential. The spin hyperfine, spin-orbit and tensor interactions are introduced to obtain the masses of the P- and D-wave states. The three-dimensional harmonic oscillator wave function is employed as a trial wave function to obtain the mass spectra. The model parameters and the wave function that reproduce the mass spectra of [Formula: see text] and [Formula: see text] mesons are used to investigate their decay properties. The two-photon decay widths, two-gluon decay widths and E1 radiative decay widths are calculated. The obtained values are compared with the experimental results and those obtained from other theoretical models.

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.

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.

RADIATIVE DECAY OF LIGHT AND HEAVY MESONS IN AN INDEPENDENT QUARK MODEL

2001 ◽  
Vol 16 (27) ◽  
pp. 1785-1794 ◽  
Author(s):  
HAKAN ÇIFTCI ◽  
HÜSEYIN KORU
Keyword(s):  
Experimental Data ◽  
Quark Model ◽  
Ground State ◽  
Radiative Decay ◽  
Potential Model ◽  
Magnetic Moments ◽  
Heavy Mesons ◽  
Decay Widths ◽  
Relativistic Potential

In this paper we have calculated transition magnetic moments and radiative decay widths of light and heavy mesons using a relativistic potential model of independent quarks with its parameters determined from a fit to the mass of ground state mesons in the strange, charm and bottom flavor sectors. The results are in agreement with the experimental data.

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