Pion mass difference fromSU 2 current algebra and quark model

1967 ◽  
Vol 47 (3) ◽  
pp. 626-633 ◽  
Author(s):  
A. Frenkel ◽  
M. Posch ◽  
G. Surányi ◽  
P. Surányi
1967 ◽  
Vol 25 (5) ◽  
pp. 354-356 ◽  
Author(s):  
J.S. Bell ◽  
R.P. Van Royen

1992 ◽  
Vol 07 (32) ◽  
pp. 3037-3043 ◽  
Author(s):  
T. GOLDMAN ◽  
J.A. HENDERSON ◽  
A.W. THOMAS

In generating a charge-symmetry breaking potential using ρ-ω mixing it is usually assumed that the mixing amplitude is constant (at the on-mass-shell value). Since the exchanged meson is actually far off-shell one must question the validity of this assumption. By constructing a simple quark model in which the mixing is generated by the u-d quark mass difference, we find that the assumption seems to be a very poor one.


1970 ◽  
Vol 3 (5) ◽  
pp. 139-142 ◽  
Author(s):  
D. Flamm ◽  
W. Majerotto
Keyword(s):  

1976 ◽  
Vol 31 (11) ◽  
pp. 1429-1430
Author(s):  
Satya N. Sinha

Abstract Pion mass difference has been calculated in the renormalizable gauge model of Bars-Halpern-Yoshimura. It is found that the soft pion mass difference is finite in the lowest order perturbative calculation, similar to the result obtained in the unified model of Salam-Weinberg. The mass difference of Kaon has also been discussed.


1997 ◽  
Vol 06 (04) ◽  
pp. 693-709 ◽  
Author(s):  
H. J. Weber ◽  
K. Bodoor

The spin and flavor fractions of constituent quarks in the baryon octet are obtained from their lowest order chiral fluctuations involving Goldstone bosons. SU(3) breaking suggested by the mass difference between the strange and up, down quarks is included, as are relativistic effects by means of a light-cone quark model for the proton, and the gluon contribution from the axial anomaly in the singlet channel. Magnetic moments from the Karl-Sehgal formulas are analyzed in this framework as well.


2017 ◽  
Vol 32 (39) ◽  
pp. 1750218 ◽  
Author(s):  
Seung-il Nam

We investigate the pseudoscalar (PS) meson ([Formula: see text] and [Formula: see text]) quasi-distribution amplitude (QDA), which is supposed to be an asymptotic analog to the meson distribution amplitude (DA) [Formula: see text] in the limit of the large longitudinal PS-meson momentum, i.e. [Formula: see text], in the non-perturbative (NP) region. For this purpose, we employ the nonlocal chiral-quark model (NLChQM) in the light-front (LF) formalism with a minimal Fock-state for the mesons [Formula: see text][Formula: see text][Formula: see text] at the low-energy scale parameter of the model [Formula: see text][Formula: see text][Formula: see text][Formula: see text]1 GeV. As a trial, we extract the transverse-momentum distribution amplitude (TMDA) from the light-front wave function (LFWF) within the model, and convert it to QDA with help of the virtuality-distribution amplitude (VDA). By doing that, we derive an analytical expression for the NP QDA with the current-quark mass correction up to [Formula: see text]. Numerically, we confirm that the obtained TMDA reproduces the experimental data for the photon-pion transition form factor [Formula: see text] at the low-[Formula: see text] qualitatively well. We also observe that the obtained QDA approaches to DA as [Formula: see text] increases, showing the symmetric and asymmetric curves with respect to [Formula: see text] for the pion and kaon, respectively, due to the current-quark mass difference [Formula: see text]. Assigning [Formula: see text], the moments [Formula: see text] are computed, using the pion and kaon QDAs, and there appear only a few percent deviations in the moments for [Formula: see text] in comparison to the values calculated directly from DAs. It turns out that the higher moments are more sensitive to the change of [Formula: see text], whereas the lower ones depend less on it.


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