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.

( 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 SYMMETRIES AND AMBIGUITIES IN THE LINEAR SIGMA MODEL WITH LIGHT QUARKS

2006 ◽  
Vol 21 (04) ◽  
pp. 339-347 ◽  
Author(s):  
E. W. DIAS ◽  
B. HILLER ◽  
A. L. MOTA ◽  
M. C. NEMES ◽  
M. SAMPAIO ◽  
...  
Keyword(s):  
Chiral Symmetry ◽  
Sigma Model ◽  
Decay Constant ◽  
Linear Sigma Model ◽  
Pion Decay ◽  
Radiative Corrections ◽  
Pion Decay Constant ◽  
Renormalization Procedure

We investigate the role of undetermined finite contributions generated by radiative corrections in an SU (2)× SU (2) linear sigma model with quarks. Although some of such terms can be absorbed in the renormalization procedure, one such contribution is left in the expression for the pion decay constant. This arbitrariness is eliminated by chiral symmetry.

scholarly journals RELATING THE PION DECAY CONSTANT TO THE CHIRAL RESTORATION TEMPERATURE

1995 ◽  
Vol 10 (08) ◽  
pp. 1169-1179 ◽  
Author(s):  
N. BILIĆ ◽  
J. CLEYMANS ◽  
M. D. SCADRON
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Decay Constant ◽  
Chiral Symmetry Breaking ◽  
Low Energy ◽  
Pion Decay ◽  
Chiral Symmetry Restoration ◽  
Pion Decay Constant ◽  
Sigma Meson ◽  
The Relationship

We review the relationship between the pion decay constant fπ, the chiral symmetry restoration temperature Tc and the phenomenology of low energy chiral symmetry breaking in view of the recent confirmation of the existence of a sigma meson with a mass of 600–700 MeV.

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.

scholarly journals PIONIC EFFECTS IN DEEP INELASTIC SCATTERING OFF NUCLEI

1993 ◽  
Vol 08 (17) ◽  
pp. 1563-1571 ◽  
Author(s):  
P. GONZÁLEZ ◽  
V. VENTO
Keyword(s):  
Experimental Data ◽  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Scale Invariance ◽  
Decay Constant ◽  
Structure Functions ◽  
Large Energy ◽  
Pion Decay ◽  
Pion Decay Constant ◽  
Bag Model

The structure functions calculated in the chiral bag model reproduce quite well, after appropriate perturbative evolution to large energy scales, the experimental data. We use these results to interpret the structure of the EMC data as a quenching of the pion decay constant due to the in-medium behavior of the nucleon. This explanation supports recent proposals of this phenomenon whose origin is the scale invariance of the QCD Lagrangian.

COMPOSITE SKYRME MODEL

1990 ◽  
Vol 05 (21) ◽  
pp. 1685-1691 ◽  
Author(s):  
HAY YEUNG CHEUNG ◽  
FEZA GÜRSEY
Keyword(s):  
Magnetic Properties ◽  
Excellent Agreement ◽  
Decay Constant ◽  
Skyrme Model ◽  
Pion Decay ◽  
Pion Decay Constant ◽  
Static Properties ◽  
Special Case

We propose a composite SU(2)×SU(2) Skyrme model which contains the original Skyrme model as a special case. We find that in one special case, the predicted pion decay constant is 185 MeV which is in excellent agreement with the experimental value of 186 MeV. Moreover, some other predicted static properties also agree well with the experiment, while a disagreement persists for the magnetic properties.

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
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