( 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.

scholarly journals Contribution of right-handed neutrinos and standard fermions to W± and Z masses

2015 ◽  
Vol 30 (19) ◽  
pp. 1550094 ◽  
Author(s):  
Petr Beneš
Keyword(s):  
Gauge Boson ◽  
Decay Constant ◽  
Mass Matrix ◽  
Z Bosons ◽  
Boson Mass ◽  
Pion Decay ◽  
Pion Decay Constant ◽  
Left Handed ◽  
Gauge Boson Mass ◽  
The Masses

We present expressions of the Pagels–Stokar (PS) type for the masses of the [Formula: see text] and Z bosons in terms of the quark and lepton self-energies. By introducing a genuine new term in the gauge boson-fermion–anti-fermion vertex we manage to accomplish three main achievements: First, we show that the similar results existing in literature lead, in general, to a nonsymmetric gauge boson mass matrix and we fix this flaw. Second, we consider the case of any number of fermion generations with general mixing. Third, we include in our analysis also an arbitrary number of right-handed neutrinos, together with the left-handed and right-handed neutrino Majorana masses (self-energies). On top of that, we give also a correction to the original PS formula for the pion decay constant in QCD.

THE LINEAR σ-MODEL AND FINITE TEMPERATURE EFFECTS

1990 ◽  
Vol 05 (12) ◽  
pp. 2297-2312 ◽  
Author(s):  
C. CONTRERAS ◽  
M. LOEWE
Keyword(s):  
Finite Temperature ◽  
Temperature Effects ◽  
Decay Constant ◽  
Pion Decay ◽  
Pion Decay Constant ◽  
The Masses ◽  
Explicit Discussion

We discuss the temperature effects on the masses and couplings constants in the linear σ-model including the effective pion decay constant fπ(T). We analyze in detail the region where our discussion is valid. The temperature effects on masses include an explicit discussion concerning the role of the thermal tadpoles as a mass contribution due to the vacuum.

PION DECAY CONSTANT AND THE GELL-MANN-OAKES-RENNER RELATION IN NUCLEI

1994 ◽  
Vol 09 (04) ◽  
pp. 279-287 ◽  
Author(s):  
G. CHANFRAY ◽  
M. ERICSON ◽  
M. KIRCHBACH
Keyword(s):  
Decay Constant ◽  
Pion Mass ◽  
Axial Current ◽  
Quark Condensate ◽  
Nuclear Medium ◽  
Pion Decay ◽  
Pion Decay Constant ◽  
S Wave ◽  
Self Energy ◽  
Time Component

We study the pion decay constant, associated with the time component of the axial current, in the nuclear medium in terms of the pion self-energy. The theoretical scheme exploits chiral properties of the s-wave πN amplitude as previously applied to the study of the medium renormalized pion mass. We show that the Gell-Mann-Oakes-Renner relation holds to a good approximation in the medium. The renormalizations of the pion decay constant and the pion mass are consistent with that predicted for the quark condensate in the medium.

The M.I.T. bag model and the pion

1981 ◽  
Vol 59 (10) ◽  
pp. 1373-1375
Author(s):  
Mariana Frank ◽  
Patrick J. O'Donnell ◽  
Brenden Wong
Keyword(s):  
Chiral Symmetry ◽  
Excellent Agreement ◽  
Quark Mass ◽  
Decay Constant ◽  
Pion Mass ◽  
Pion Decay ◽  
Not Given ◽  
Pion Decay Constant ◽  
Bag Model ◽  
Quark Models

The problem of the pion mass in quark models is studied in the M.I.T. bag model. A new value of the bag energy for the pion is obtained. It is shown that the pion mass is not given simply in the standard bag calculations. A nonzero pion mass seems to be a function of the quark mass, in agreement with spontaneously broken chiral symmetry. The pion decay constant is determined to be 94 MeV in excellent agreement with experiment.

scholarly journals An asymptotic formula for the pion decay constant in a large volume

2004 ◽  
Vol 590 (3-4) ◽  
pp. 258-264 ◽  
Author(s):  
Gilberto Colangelo ◽  
Christoph Haefeli
Keyword(s):  
Asymptotic Formula ◽  
Large Volume ◽  
Decay Constant ◽  
Pion Decay ◽  
Pion Decay Constant

scholarly journals Pion decay constant, ZA and chiral log from overlap fermions

2002 ◽  
Vol 106-107 ◽  
pp. 341-343
Author(s):  
S.J. Dong ◽  
T. Draper ◽  
I. Horváth ◽  
F.X. Lee ◽  
J.B. Zhang
Keyword(s):  
Decay Constant ◽  
Pion Decay ◽  
Pion Decay Constant

scholarly journals Nucleon axial charge and pion decay constant from two-flavor lattice QCD

2014 ◽  
Vol 732 ◽  
pp. 41-48 ◽  
Author(s):  
R. Horsley ◽  
Y. Nakamura ◽  
A. Nobile ◽  
P.E.L. Rakow ◽  
G. Schierholz ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Decay Constant ◽  
Pion Decay ◽  
Pion Decay Constant ◽  
Axial Charge
Sign in / Sign up

Export Citation Format

Share Document