A study of meson-baryon couplings in the constituent quark model

Blask, W. H.; Furui, Sadataka; Kaiser, R.; Metsch, B.; Huber, Max

doi:10.1007/bf01294983

Cited by 3 publications

(2 citation statements)

References 32 publications

(50 reference statements)

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“…Using an elementary pseudoscalar emission model, Koniuk and Isgur [11] discuss the Nπ, ∆π and Nη decay channels, as well as the ΛK and ΣK channels. Similar work has been done by Blask et al [13]. Koniuk [14] has also examined Nρ and Nω decays in the approximation of treating the ρ in the narrow-width limit.…”

Section: Introductionmentioning

confidence: 82%

Quasi-two-body decays of nonstrange baryons

1994

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We examine the decays of nonstrange baryons to the final states ∆π, N ρ, N η, N η ′ , N ω, N 1 2 + (1440)π, and ∆ 3 2 + (1600)π, in a relativized pair-creation ( 3 P 0 ) model which has been developed in a previous study of the N π decays of the same baryon states. As it is our goal to provide a guide for the possible discovery of new baryon states at CEBAF and elsewhere, we examine the decays of resonances which have already been seen in the partial-wave analyses, along with those of states which are predicted by the quark model but which remain undiscovered. The level of agreement between our calculation and the available widths from the partial-wave analyses is encouraging.

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Section: Introductionmentioning

confidence: 82%

Quasi-two-body decays of nonstrange baryons

1994

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“…The result of Table I is obtained from the expressions below just by setting ),=1. The derivation of the result here will be published elsewhere, since it contains several steps which involve evaluation 'of the SU6 CoG coefficients of the type [21] x [21] ..... [21]. …”

Section: Appendix a - -Explicit Expressions Of Spin-flavor Factors Fmentioning

confidence: 99%

Baryon-Meson Couplings in the qq Pair-Creation Quark Model. III: Energy Shifts of P-Wave Baryons

Fujiwara

1993

Progress of Theoretical Physics

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105We continue the previous quark·model studies of qq pair·creation transition amplitudes for P·wave baryons and evaluate the energy shifts of compact 3q energies due to the couplings to baryon-meson composite configurations. These baryon-meson configurations are described by the antisymmetrized (3q)(qq) cluster-model wave functions composed of simple harmonic oscillator functions and the plane-wave relative motion. The rich spin-flavor SU6 structure of the transition amplitudes due to the off-shell Fermi-Breit interaction and threshold effects of various baryon-meson configurations predict non-uniform energy shifts for each member of the SU6 supermultiplet, thus yielding a. possible resolution of the missing LS force problem in the P-wave baryons. A typical example is given for a slightly modified off-shell Fermi-Breit interaction in which th~ sign of the SU6 breaking term is inverted. Except for the flavor-singlet A resonances at the lowest energies, the energy spectrum and the mixing features of the spin S=1/2 and 3/2 resonances are well reproduced together with the partial decay widths to pseudo-scalar mesons and ground-state baryons. § 1. IntroductionFrom the advent of QeD, quark models have been widely accepted as a starting point of almost any kind of discussion to correlate many observables in hadronic phenomena. l )Thus constituent quarks and anti-quarks interacting with potentials, such as the Fermi-Breit interaction as a residual interaction, are more or less considered to be realistic entities. This allows us serious considerations of quantummechanical treatments of many-quark systems_ Nucleons have already been treated as such systems in great detail over the last several decades, and many logical arguments and special techniques to untangle the intricate nature of many-body quantum systems have been developed. The non-relativistic nature of the model is surely one of its shortcomings_ However, this does not mean that all discussions based on this model are meaningless. The spinor structure of Dirac particles of quarks is still evidenced in the form of the Fermi-Breit interaction,2) which inherits the spirit of the Foldy-Wouthuysen transformation in converting the lower components of spinor functions to the upper ones in the dominant non-relativistic approximation. However, the essence of the constituent quark models lies in the exact treatment of symmetries carried by spatial, spin-flavor and color degrees of freedom.In this series of papers, we have been investigating characteristic features of baryon-meson couplings by using a naive non-relativistic quark model supplemented with a quark-antiquark (qq) pair-creation interaction. This interaction is derived from the off-shell part of the one-gluon exchange interaction in the non-relativistic approximation_ 3 ),4)In previous papers,5);6) referred to as I and II hereafter, we have applied this pair-creation interaction to the description of meson-emission processes of S-wave and P-wave baryons. In the first paper,5) we have developed a new

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