Mass and decay constant of the (qq)-pion in a relativistic-potential model of independent quarks

Pramana ◽  
1998 ◽  
Vol 51 (6) ◽  
pp. 711-725 ◽  
Author(s):  
S. N. Jena ◽  
M. R. Behera ◽  
S. Panda
Keyword(s):  
Decay Constant ◽  
Potential Model ◽  
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.

( q q ¯ ) -pion mass and decay constant in a relativistic independent-quark model

2009 ◽  
Vol 87 (11) ◽  
pp. 1171-1180
Author(s):  
S. N. Jena ◽  
M. K. Muni ◽  
H. R. Pattnaik
Keyword(s):  
Decay Constant ◽  
Potential Model ◽  
Pion Mass ◽  
Center Of Mass ◽  
Mass Motion ◽  
Pion Decay ◽  
Pion Decay Constant ◽  
Symmetric Potential ◽  
Physical Mass ◽  
The Masses

The mass and decay constant of the [Formula: see text]-pion together with the masses of ρ and ω mesons are calculated in a chiral symmetric potential model of independent quarks, taking into account the corrections due to the possible residual interactions, such as quark–pion coupling arising out of the requirement of chiral symmetry and quark gluon coupling arising out of one-gluon-exchange, and that due to the spurious center-of-mass motion of the meson core. The effective potential representing phenomenologically the nonperturbative gluon interactions, including gluon self coupling, is chosen with equally mixed scalar and vector parts in a logarithmic form. The result obtained for the physical mass of [Formula: see text]-pion is consistent with that of the PCAC-pion, and the pion-decay constant reasonably agrees with experiment.

THE FUZZY BAG MODEL REVISITED

2002 ◽  
Vol 17 (09) ◽  
pp. 543-553 ◽  
Author(s):  
F. PILOTTO ◽  
C. A. Z. VASCONCELLOS ◽  
H. T. COELHO
Keyword(s):  
Functional Form ◽  
Potential Model ◽  
Center Of Mass ◽  
Momentum Conservation ◽  
Radial Dependence ◽  
Bag Model ◽  
New Feature ◽  
The Masses ◽  
Relativistic Potential ◽  
Energy Momentum Conservation

In this work we develop a new version of the fuzzy bag model. The new feature is the inclusion of energy–momentum conservation. This turns the model into a "real" bag model, as opposed to a relativistic potential model. One immediate consequence is that the bag constant B will acquire a radial dependence, B = B(r), whose functional form can be completely fixed without any arbitrariness. Such a feature is of importance in the study of neutron stars, where a radial dependence of B is usually put in by hand. The parameters of the model are found by fitting the masses of the baryon octet. We include center-of-mass, one-gluon exchange and pion exchange corrections for these masses.

scholarly journals HEAVY QUARK KINETIC ENERGY IN B MESONS BY A QCD RELATIVISTIC POTENTIAL MODEL

1996 ◽  
Vol 11 (34) ◽  
pp. 2693-2702 ◽  
Author(s):  
FULVIA DE FAZIO
Keyword(s):  
Kinetic Energy ◽  
B Mesons ◽  
Potential Model ◽  
B Meson ◽  
Energy Operator ◽  
Kinetic Energy Operator ◽  
Theoretical Approaches ◽  
The Matrix ◽  
Relativistic Potential ◽  
Meson States

The matrix element of the kinetic energy operator between B meson states is computed by means of a QCD relativistic potential model, with the result: [Formula: see text]. A comparison with the outcome of other theoretical approaches and a discussion of the phenomenological implications of this result are carried out.

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