Fits combining hyperon semileptonic decays, magnetic moments, and the conserved-vector-current hypotheses

1983 ◽  
Vol 27 (11) ◽  
pp. 2758-2761 ◽  
Author(s):  
A. Bohm ◽  
P. Kielanowski
Keyword(s):  
Magnetic Moments ◽  
Semileptonic Decays ◽  
Vector Current ◽  
Conserved Vector Current

Check of the conserved vector current hypothesis

1962 ◽  
Vol 1 (4) ◽  
pp. 138-140 ◽  
Author(s):  
A.F. Dunaitsev ◽  
V.I. Petrukhin ◽  
Yu.D. Prokoshkin ◽  
V.I. Rykalin
Keyword(s):  
Vector Current ◽  
Conserved Vector Current

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.

The Weak Interactions

2021 ◽  
pp. 348-387
Author(s):  
J. Iliopoulos ◽  
T.N. Tomaras
Keyword(s):  
Weak Interactions ◽  
Vector Boson ◽  
Goldstone Boson ◽  
Vector Current ◽  
Axial Current ◽  
Current Interaction ◽  
Conserved Vector Current ◽  
Intermediate Vector ◽  
Pseudo Goldstone Boson ◽  
A Current

We present the phenomenology of the weak interactions in a historical perspective, from Fermi’s four-fermion theory to the V−A current×current interaction. The experiments of C.S. Wu, which established parity violation, and M. Goldhaber, which measured the neutrino helicity, are described. We study in turn the leptonic, semi-leptonic and non-leptonic weak interactions. We introduce the concept of the conserved vector current and the partially conserved axial current and show that the latter is the result of spontaneously broken chiral symmetry with the pion the corresponding pseudo-Goldstone boson. We study Gell–Mann’s current algebra and derive the Adler–Weisberger relation. Strangeness changing weak interactions and the Cabibbo theory are described. We present a phenomenological analysis of CP-violation in the neutral kaon system and we end with the intermediate vector boson hypothesis.

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