A New Application of the Gursey and Radicati Mass Formula

Abstract

We study the spin- and flavour- dependent SU(6) violations in the baryon spectrum by means of a Gürsey Radicati mass formula. The average energy of each SU(6)-multiplet is described using the SU(6) invariant interaction given by a hypercentral potential containing a linear and a hypercoulomb term. We show that the non strange and strange baryon masses are in general fairly well reproduced and moreover that the Gürsey Radicati formula holds in a satisfactory way also for the excited states up to 2 GeV. The coefficients of the Gürsey Radicati SU(6) breaking part obtained by the fit of the three-quark spectrum can be used to evaluate in first approximation the splitting within multiplets also for exotic baryon systems.

9 pages, 2 figures, 2 table, submitted to Eur. Phys. J. A

References in corpus (2)

• Z^* Resonances: Phenomenology and Models
• Spectroscopy of pentaquark states

Cited by in corpus (11)

• Strange and nonstrange baryon spectra in the relativistic interacting quark-diquark model with a Gürsey and Radicati-inspired exchange interaction
• Strong decays of baryons and missing resonances
• Asymmetric Dark Matter and the hadronic spectra of hidden QCD
• Spectroscopy of light $N^{\ast }$ baryons
• Spectra and decay properties of ${\Lambda }_b$ and ${\Sigma }_b$ baryons
• Phenomenological predictions for pentaquark masses from fits to baryon masses
• Tetraquark Masses by using extension of Gursey-Radicati Mass Formula
• Nucleon resonances with spin $\frac{3}{2}$ and isospin $\frac{1}{2}$
• Study of Electromagnetic Properties of Light Baryons in the Hypercentral Approach
• Pseudoscalar current and covariance with the light-front approach
• Phenomenological mass model for exotic hadrons and predictions for masses of non-strange dibaryons as hexaquarks