scholarly journals Baryon magnetic moments in large-Ncchiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking

2014 ◽  
Vol 89 (3) ◽  
Author(s):  
Giovanna Ahuatzin ◽  
Rubén Flores-Mendieta ◽  
María A. Hernández-Ruiz ◽  
Christoph P. Hofmann
Keyword(s):  
Perturbation Theory ◽  
Symmetry Breaking ◽  
Magnetic Moments ◽  
Mass Difference ◽  
Flavor Symmetry

scholarly journals BARYONS AS THREE-FLAVOR SOLITONS

1996 ◽  
Vol 11 (14) ◽  
pp. 2419-2544 ◽  
Author(s):  
HERBERT WEIGEL
Keyword(s):  
Symmetry Breaking ◽  
Vector Meson ◽  
Degrees Of Freedom ◽  
Magnetic Moments ◽  
Axial Vector ◽  
Vector Current ◽  
Bound State ◽  
Axial Vector Current ◽  
Flavor Symmetry ◽  
Matrix Elements

The description of baryons as soliton solutions of effective meson theories for three-flavor (up, down and strange) degrees of freedom is reviewed and the phenomenological implications are illuminated. In the collective approach the soliton configuration is equipped with baryon quantum numbers by canonical quantization of the coordinates describing the flavor orientation. The baryon spectrum resulting from exact diagonalization of the collective Hamiltonian is discussed. The prediction of static properties, such as the baryon magnetic moments and the Cabibbo matrix elements for semileptonic hyperon decays, are explored with regard to the influence of flavor symmetry breaking. In particular, the role of strange degrees of freedom in the nucleon is investigated for both the vector and axial vector current matrix elements. The latter are discussed extensively within the context of the proton spin puzzle. The influence of flavor symmetry breaking on the shape of the soliton is examined, and observed to cause significant deviations from flavor-covariant predictions on the baryon magnetic moments. Short range effects are incorporated by a chirally invariant inclusion of vector meson fields. These extensions are necessary for properly describing the singlet axial vector current and the neutron–proton mass difference. The effects of the vector meson excitations on baryon properties are also considered. The bound state description of hyperons and its generalization to baryons containing a heavy quark are illustrated. In the case of the Skyrme model a comparison is made between the collective quantization scheme and the bound state approach. Finally, the Nambu–Jona-Lasinio model is employed to demonstrate that hyperons can be described as solitons in a microscopic theory of the quark flavor dynamics. This is explained for both the collective and the bound state approaches to strangeness.

scholarly journals Flavor symmetry breaking in quark magnetic moments

1994 ◽  
Vol 64 (1) ◽  
pp. 73-77 ◽  
Author(s):  
Johan Linde ◽  
Håkan Snellman
Keyword(s):  
Symmetry Breaking ◽  
Magnetic Moments ◽  
Flavor Symmetry

scholarly journals The axion-baryon coupling in SU(3) heavy baryon chiral perturbation theory

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Thomas Vonk ◽  
Feng-Kun Guo ◽  
Ulf-G. Meißner
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Heavy Baryon ◽  
Power Counting ◽  
Flavor Symmetry ◽  
Chiral Perturbation ◽  
Third Order ◽  
Stellar Objects ◽  
The Past ◽  
Dense Nuclear Matter

Abstract In the past, the axion-nucleon coupling has been calculated in the framework of SU(2) heavy baryon chiral perturbation theory up to third order in the chiral power counting. Here, we extend these earlier studies to the case of heavy baryon chiral perturbation theory with SU(3) flavor symmetry and derive the axion coupling to the full SU(3) baryon octet, showing that the axion also significantly couples to hyperons. As studies on dense nuclear matter suggest the possible existence of hyperons in stellar objects such as neutron stars, our results should have phenomenological implications related to the so-called axion window.

SUBSTRUCTURE EFFECT ON ρ-ω MIXING IN CHARGE-SYMMETRY VIOLATION

1992 ◽  
Vol 07 (32) ◽  
pp. 3037-3043 ◽  
Author(s):  
T. GOLDMAN ◽  
J.A. HENDERSON ◽  
A.W. THOMAS
Keyword(s):  
Symmetry Breaking ◽  
Quark Model ◽  
Quark Mass ◽  
Mass Shell ◽  
Mass Difference ◽  
Charge Symmetry Breaking ◽  
Symmetry Violation ◽  
Charge Symmetry ◽  
A Charge ◽  
Simple Quark Model

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.

scholarly journals Flavor symmetry breaking in the 1/Ncexpansion

1996 ◽  
Vol 53 (1) ◽  
pp. 273-282 ◽  
Author(s):  
Jin Dai ◽  
Roger Dashen ◽  
Elizabeth Jenkins ◽  
Aneesh V. Manohar
Keyword(s):  
Symmetry Breaking ◽  
Flavor Symmetry

scholarly journals Leading SU(3)-breaking corrections to the Baryon Magnetic Moments in Chiral Perturbation Theory

2009 ◽  
Author(s):  
Jorge Martin Camalich ◽  
Luis Alvarez-Ruso ◽  
Lisheng Geng ◽  
Manuel Jose Vicente Vacas
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Magnetic Moments ◽  
Chiral Perturbation
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