6533b825fe1ef96bd128263f

RESEARCH PRODUCT

Towards a Unified Description of the Baryon Spectrum and the Baryon-Baryon Interaction within a Potential Model Scheme

Francisco FernándezVicente VentoP. GonzalezA. Valcarce

subject

PhysicsQuarkParticle physicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyNuclear TheorySchrödinger equationBaryonsymbols.namesakeQuantum electrodynamicssymbolsHigh Energy Physics::ExperimentNuclear ExperimentHamiltonian (quantum mechanics)NucleonChiral symmetry breakingWave functionAnsatz

description

We study the low energy part of the nucleon and ∆ spectra by solving the Schrodinger equation for the three-quark system in the hyperspherical harmonic approach. The quark-quark hamiltonian considered includes, besides the usual one-gluon exchange, pion and sigma exchanges generated by the chiral symmetry breaking This quark-quark potential reproduces, in a Resonating Group Method calculation, the nucleon-nucleon scattering phase shifts and the deuteron properties. The baryonic spectrum obtained is quite reasonable and the resulting wave function is consistent with the ansatz used in the two baryon system.

https://doi.org/10.1007/978-3-7091-9427-0_45