https://doi.org/10.1140/epja/i2005-10113-4
Original Article
A new application of the Gürsey and Radicati mass formula
1
Dipartimento di Fisica, Università degli Studi di Genova, Genova, Italy
2
Sezione di Genova, INFN, Genova, Italy
* e-mail: giannini@ge.infn.it
Received:
4
May
2005
Accepted:
29
June
2005
Published online:
31
August
2005
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 hyper-Coulomb term. We show that the nonstrange- 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.
PACS: 12.39.-x Phenomenological quark models – / 12.39.Pn Potential models – / 11.30.Hv General theory of fileds and particles: Flavor symmetries – / 11.30.Ly General theory of fields and particles: Other internal and higher symmetries –
© Società Italiana di Fisica and Springer-Verlag, 2005