Harmonic-Oscillator Model for Baryons

Abstract

Attention is drawn to a possible band structure displayed by the known N* resonances. The observed spectrum is similar to that predicted by a paraquark harmonic-oscillator shell model. Exact three-body Schrodinger wave functions are used to compute the Nw and ATT partial decay widths, assuming the pion emission takes place via a one-quark de-excitation. The agreement with experiment is very good.

Covariant calculation of nonstrange decays of strange baryon resonances

“…This is unfortunate, not only in view of the vast amount of experimental data but also because the decay properties of hadron resonances give important insights into strong interaction physics (see, for example, the recent NSTAR workshops [1,2,3]). Investigations of strong decay processes date back to the late 1960s [4,5,6,7,8], and with the refinement of constituent quark models (CQMs) various aspects of the strong decays have been studied [9,10,11,12,13,14,15,16,17,18,19,20]. In particular, the decay mechanism and the type of hyperfine interactions in CQMs have been in the focus of interest.…”

Quark confinement and curved spaces

“…In the nonrelativistic oscillator model [5]- [7], the Hamiltonian (1) leads to confining oscillator-type wave functions that contain a factor e −β(r , where β is a constant. In [17] with the potential (4), the approximate behavior of the wave function is ψ ∝ Φ(r)e −βr 2 and in the Cornell model [9], where the potential of the type (2) is used, a similar behavior occurs.…”

“…Since then, many authors proposed models in order to describe the structure of the hadrons in terms of confined quarks. A successful way to implement these ideas is to consider nonrelativistic constituent quark models, such as the the nonrelativistic oscillator model, proposed by Dalitz in 1967 [4] and by Faiman in 1968 [5], where the Baryons are supposed to be systems composed of three constituent quarks, confined by an oscillator potential, with the states determined by the Hamiltonian…”

Spectroscopic Consequences of Exact Duality for Baryons

“…This result is thus expected to be quite reliable. It has been obtained previously 18 in the harmonic-oscill ator quark model. On the other hand, such a model also predicts…”