Ideal mixing for baryons

Faiman, D.

doi:10.1103/physrevd.15.854

Cited by 16 publications

(15 citation statements)

References 22 publications

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“…The angle θ 3 remains ambiguous and close to the values obtained in the LO fits. It should be noticed that the present values of both mixing angles are somewhat different from the values θ 1 = 0.61, θ 3 = 3.04 obtained in other analyses [10,16,20].…”

Section: Resultscontrasting

confidence: 99%

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STRONG DECAYS OF P WAVE BARYONS IN THE 1/N_C EXPANSION

Scoccola

2005

Large NC QCD 2004

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The hadronic decays of non-strange negative parity baryons are analyzed in the framework of the 1/Nc expansion. A complete basis of spin-flavor operators for the pseudoscalar meson S and D partial wave amplitudes is established to order 1/Nc and the unknown effective coefficients are determined by fitting to the empirically known widths. A set of relations between widths that result at the leading order, i.e. order N 0 c , is given and tested with the available data.where J = 1 2 and 3 2 , N * ( ′ ) J

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Section: Resultscontrasting

confidence: 99%

“…The mixing angles θ 1 = 0.39 ± 0.11 and θ 3 = (2.82, 2.38) ± 0.11 that result at NLO are similar to the ones determined at LO. They are , however, somewhat different from the angles θ 1 = 0.61 and θ 3 = 3.04 obtained in other analyses [10,16,20].…”

Section: Discussioncontrasting

confidence: 91%

STRONG DECAYS OF P WAVE BARYONS IN THE 1/N_C EXPANSION

Scoccola

2005

Large NC QCD 2004

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“…In this paper, we show how to apply these ideas to hadronic decays of the orbitally excited baryons in the SU (6) 70-plet [9,10]. In the Hartree language, these are states with Nc -1 quarks in the ground state of the Hartree potential, and one quark in an orbitally excited state.…”

Section: Introductionmentioning

confidence: 99%

Decays ofl=1 baryons: Quark model versus largeNc

et al. 1994

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We study hadronic two-body decays of the orbitally excited, SU(6) 70-plet baryons in order to test the hypothesis that the successes of the nonrelativistic quark model have a natural explanation in the large-Nc limit of QCD. By working in a Hartree approximation, we isolate a specific set of operators that contribute to the observed s-and d-wave decays in leading order in l/Nc. We fit our results to the current experimental decay data, and make predictions for a number of allowed but unobserved modes. Our tentative conclusion is that there is more to the nonrelativistic quark model of baryons than large N,.PACS number(s): 13.30.Eg, 11.15.Pg, 12.39.Jh

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“…Rosner et al discussed some qualitative effects of SU(6) w-like and anti-SU (6) w-like currents in connection with the signs of amplitudes derived from nN----'> nnN phase-shift analysis. 16 However, the predicted magnitudes are not consistent with the results of phase-shift analysis, for example, 18 J as seen in the p1 and p3 amplitudes of P P11 (1730) and P P13 (1700) partial waves. *J *J The notation used for describing our partial wave amplitude is as follows.…”

mentioning

confidence: 89%

“…It has been concluded that higher-symmetry approaches have some difficulty and the relativistic quark model is found to fail in reproducing relative phases of resonant amplitudes. 4 J' 16 J Before discussing our model, we briefly review higher-symmetry approaches in the present problem. Since Lipkin and Meshkov proposed the SU(6) w symmetry 1 n in 1965, the broken SU (6) w,12l the 3 P 0 modeP 3 J and the Melosh transformation 14 J have been proposed in the framework of the SU(6) w symmetry.…”

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confidence: 99%

Analysis of the Decays N* -> N in the Naive Quark Model

Tanimoto

1976

Progress of Theoretical Physics

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The nN-'>pN resonant amplitudes are discussed by the naive quark model. The interaction Hamiltonian for the decays N*-'?pN is assumed to be described in terms of the quarkp-meson couplings in analogy with that for N*-'>rN, and the baryon wave functions of the three-dimensional harmonic oscillator potential model are used to estimate the SU(6)w-breaking effects. It is shown that the longitudinal motion of quark in hadron is essential to reproduce the right signs and magnitudes of resonant amplitudes. This motion causes the JLz=O process, but violates the prediction by SU(6) w, i.e., the longitudinal helicity amplitude of p-meson has the sign different from that predicted by SU(6) w. The transverse motion of quark is suppressed in contrast to that obtained from decays N*-'>rN.( 1· 2) have been obtained by the partial wave analyses of the reaction nlV-+nnlV for energies up to 2000 MeV.1l, 2 l Two continuous solutions ("A" and "B") have been found; however, Saclay and IC/Westfield experiments seem to support the solution B.ll We may derive an important clue for constructing a model of low-energy hadron reactions from these signs and magnitudes of resonant amplitudesY In particular, we may obtain a criterion for quark models.Moorhouse and Parsons have already shown that the relativistic quark model proposed by Feynman gives wrong signs for the partial waves in nN-+plV reaction!) This failure is in contrast to the success for r N-+nlV reaction 6 l and some people take the latter success as merely accidental.Here, we analyse the nN-+plV reaction on the basis of the naive quark model in order to search for the condition of reproducing the right signs and magnitudes of partial waves.n Such a study is perhaps helpful for developing further the naive quark model of which various features have been formed mainly through the investigation of mass levels, electromagnetic interactions and so forth. Specifically, this model reproduces the decay amplitude of lV*-+rlV and the values of parameters in this model such as harmonic oscillator coupling constant are consistent with the ones from the mass levels. 8 J~loJ The investigation of the strong decays lY*-+plV t) Present address:

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Ideal mixing for baryons

Abstract: We suggest that all configuration mixing within the 3 1-multiplet of SU(6) X O(3) is governed by simple decoupling conditions. We deduce a tentative set of ideal mixing angles and discuss the kind of models that might lead to such mixing.

Cited by 16 publications

References 22 publications

STRONG DECAYS OF P WAVE BARYONS IN THE 1/N_C EXPANSION

STRONG DECAYS OF P WAVE BARYONS IN THE 1/N_C EXPANSION

Decays ofl=1 baryons: Quark model versus largeNc

Analysis of the Decays N* -> N in the Naive Quark Model

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Ideal mixing for baryons

Abstract: We suggest that all configuration mixing within the 3 1-multiplet of SU(6) X O(3) is governed by simple decoupling conditions. We deduce a tentative set of ideal mixing angles and discuss the kind of models that might lead to such mixing.

Cited by 16 publications

References 22 publications

STRONG DECAYS OF P WAVE BARYONS IN THE 1/NC EXPANSION

STRONG DECAYS OF P WAVE BARYONS IN THE 1/NC EXPANSION

Decays ofl=1 baryons: Quark model versus largeNc

Analysis of the Decays N* -> N in the Naive Quark Model

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Product

Resources

About

STRONG DECAYS OF P WAVE BARYONS IN THE 1/N_C EXPANSION

STRONG DECAYS OF P WAVE BARYONS IN THE 1/N_C EXPANSION