Neutron-proton mass difference in the chiral hyperbag
TL;DR: In this paper, the chiral hyperbag model was applied to the calculation of ΔI = 1 baryon mass splittings induced by the up-down current quark mass difference, with a particular emphasis on the proton-neutron mass difference.
About: This article is published in Physics Letters B.The article was published on 1989-03-30. It has received 4 citations till now. The article focuses on the topics: Current quark & Baryon.
Citations
More filters
TL;DR: The Nambu-Jona-Lasinio model as mentioned in this paper is an effective chiral quark theory which incorporates the SU(Nf)L⊗SU(nf)R⊆U(1)V approximate symmetry of Quantum chromodynamics.
241 citations
TL;DR: In this paper, it was shown that the violation of the Gottfried sum rule reported by the NMC group is due to the pionic contribution to the sea-quark distribution.
12 citations
TL;DR: In this article, the strong contribution of the neutron-proton mass difference in the SU(3) linear sigma model was investigated and the collective-coordinate quantization approach involving only isospin degrees of freedom leads to a result which is roughly twice too large.
2 citations
TL;DR: In this article, mass differences in all isomultiplets of the baryon octet were calculated in the framework of the Feynman perturbation theory, and the results of the calculations give evidence to the fact that a mass splitting is solely a long-distance effect involving, however, the π 0 − η mixing along with the usual electromagnetic effects.
References
More filters
TL;DR: In this article, a strongly interacting particle is a finite region of space to which fields are confined, and the confinement is accomplished in a Lorentz-invariant way by endowing the finite region with a constant energy per unit volume, $B$.
Abstract: We propose that a strongly interacting particle is a finite region of space to which fields are confined. The confinement is accomplished in a Lorentz-invariant way by endowing the finite region with a constant energy per unit volume, $B$. We call this finite region a "bag." The contained fields may be either fermions or bosons and may have any spin; they may or may not be coupled to one another. Equations of motion and boundary conditions are obtained from a variational principle. The confining region has no dynamical freedom but constrains the fields inside: There are no excitations of the coordinates determining the confining region. The model possesses many desirable features of hadron dynamics: (i) a parton interpretation and presumably Bjorken scaling; the confined fields are free or weakly interacting except close to the boundary; (ii) infinitely rising Regge trajectories as a consequence of the bag's finite extent; (iii) the Hagedorn degeneracy or limiting temperature; (iv) all physical hadrons are singlets under hadronic gauge symmetries. For example, in a theory of fractionally charged, "colored" quarks interacting with colored, massless gauge vector gluons, if both quark and gluon fields are confined to the bag, only color-singlet solutions exist. In addition to establishing these general properties, we present complete classical and quantum solutions for free scalars and also for free fermions inside a bag of one space and one time dimension. Both systems have linear mass-squared spectra. We demonstrate Poincar\'e invariance at the classical level in any dimension and at the quantum level for the above-mentioned explicit solutions in two dimensions. We discuss the behavior of specific solutions in one and three space dimensions. We also discuss in detail the problem of fermion boundary conditions, which follow only indirectly from the variational principle.
1,888 citations
TL;DR: In this paper, the static properties of baryons in an SU(2) × SU (2) chiral theory (the Skyrme model) whose solitons can be interpreted as the Baryons of QCD were derived.
1,383 citations
TL;DR: In this article, it was shown that baryons carrying heavy flavors, such as strangeness and charm, can be described by bound states of the corresponding heavy mesons in the background field of the basic SU(2) skyrmion.
260 citations
TL;DR: In this article, it was shown that the Wess-Zumino term gives the right quantum numbers for the baryons, which appear as solitons in current algebra lagrangians.
210 citations
TL;DR: In this paper, the Goldberger-Treiman relation has been used to obtain topologically stable solitonic solutions to Skyrme's chiral-invariant Lagrangian.
Abstract: Topologically stable solitonic solutions to Skyrme's chiral-invariant Lagrangian have been obtained numerically. The single parameter in these solutions has been determined with the Goldberger-Treiman relation. The identification of these objects with baryons leads to sensible statements regarding the sizes and energies of baryons as well as the two- and three-body interactions between baryons at zero separation.
168 citations