Many-quark interactions: Large-$N$ scaling and contribution to baryon masses

Abstract

Starting from an effective Hamiltonian modelling a baryon made of $N$ identical quarks in the large-$N$ approach of QCD, we obtain analytical formulas allowing to estimate the contributions of multiquark interactions to the baryon mass. The cases of vanishing (mass spectrum) and non-vanishing (baryon melting) temperatures are treated.

References in corpus (8)

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• Light Baryon Spectroscopy
• About the Casimir scaling hypothesis
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Numerical tests of the envelope theory for few-boson systems
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Cited by in corpus (5)

• The envelope theory as a pedagogical tool
• Three-body Forces in Oscillator Bases Expansion
• Tests of the envelope theory for three-body forces
• A quark core-gluon model for heavy hybrid baryons
• Accuracy Tests of the Envelope Theory