A new application of the Gürsey and Radicati mass formula

Physical Review D, 2007

A previous work establishing a connection between a quark model, with relativistic kinematics and a Y -confinement plus one gluon exchange, and the 1/N c expansion mass formula is extended to strange baryons. Both methods predict values for the SU(3)-breaking mass terms which are in good agreement with each other. Strange and nonstrange baryons are shown to exhibit Regge trajectories with an equal slope, but with an intercept depending on the strangeness. Both approaches agree on the value of the slope and of the intercept and on the existence of a single good quantum number labeling the baryons within a given Regge trajectory.

Frascati Physics Series, 2007

Heavy flavour baryons containing one or two charm quarks with light flavour combinations are studied using the hyper central description of the three-body system. The confinement potential is assumed as hyper central coulomb plus power potential with power index ν. The ...

Physics Letters B, 2000

Due to a new measurement of the Ξ 0 mass, the Coleman-Glashow formula for the baryon octet e.m. masses (derived using unbroken flavor SU 3 ) is satisfied to an extraordinary level of precision. The same unexpected precision exists for the Gell Mann-Okubo formula and for its octet-decuplet extension (G. Morpurgo, Phys. Rev. Lett. 68 (1992) 139). We show that the old question "why do they work so well?" is now answered by the general parametrization method.

Physical review, 2010

We use the color-spin and flavor-spin interaction Hamiltonians with SU(3) flavor symmetry breaking to obtain meson and baryon mass formulas. Adjusting these masses with experimental masses we determine the constituent quark masses. We discuss the constituent quark masses obtained from meson and baryon mass fits. The results for constituent quark masses are very similar in case of two different phenomenological models: Fermi-Breit and Glozman-Riska hyperfine interactions.

Physical Review D, 1997

By assuming the existence of (quasi)-linear Regge trajectories for heavy quarkonia in the low energy region, we derive a new, sixth power, meson mass relation which shows good agreement with experiment for both charmed and beauty mesons. This relation may be reduced to a quadratic Gell-Mann-Okubo

Physical Review, 1967

The European Physical Journal Plus

Excited states masses of the strange singly charmed baryons are calculated using the non-relativistic approach of hypercentral Constituent Quark Model (hCQM). The hyper-Coulomb plus screened potential is used as a confinement potential with the first order correction. The spin-spin, spinorbit and spin-tensor interaction terms are included perturbatively. Our calculated masses are allowed to construct the Regge trajectories in both (n r , M 2) and (J, M 2) planes. The mass spectra and the Regge trajectories study predict the spin-parity of Ξ c (2970) +/0 , Ξ c (3080) +/0 , Ξ c (3123) + , Ω c (3000) 0 and Ω c (3119) 0 baryons. Moreover, the strong one pion decay rates of the isodoublet states of Ξ c (2645), Ξ c (2790) and Ξ c (2815) are analyzed in the framework of Heavy Hadron Chiral Perturbation Theory (HHChPT). Also, the ground state magnetic moments and the radiative decay rates based on the transition magnetic moments are calculated in the framework of constituent quark model.

Physical Review C, 2005

We investigate the structure of the SU (3) octet and decuplet baryons employing a constituent quark model designed for the study of the baryon-baryon interaction and successfully applied to the meson spectra. The model considers through the interacting potential perturbative, one-gluon exchange, and non-perturbative, boson exchanges and confinement, aspects of the underlying theory, QCD. We solve the three-quark problem by means of the Faddeev method in momentum space. We analyze the effect of the different terms in the interaction and make contact with the use of relativistic kinematics. We find an explanation to the strong contribution of the pseudoscalar forces in the semirelativistic approach for the octet baryons. A phenomenological recipe for the regularization parameter of the one-gluon exchange is found.

Zeitschrift für Physik C Particles and Fields, 1993

We present an analysis of the octet baryon masses and the πN and KN σ-terms in the framework of heavy baryon chiral perturbation theory. At next-to-leading order, O(q 3 ), knowledge of the baryon masses and σ πN (0) allows to determine the three corresponding finite low-energy constants and to predict the the two KN σ-terms σ (1,2) KN (0). We also include the spin-3/2 decuplet in the effective theory. The presence of the nonvanishing energy scale due to the octet-decuplet splitting shifts the average octet baryon mass by an infinite amount and leads to infinite renormalizations of the low-energy constants. The first observable effect of the decuplet intermediate states to the baryon masses starts out at order q 4 . We argue that it is not sufficient to retain only these but no other higher order terms to achieve a consistent description of the three-flavor scalar sector of baryon CHPT. In addition, we critically discuss an SU(2) result which allows to explain the large shift of σ πN (2M 2 π ) -σ πN (0) via intermediate ∆( ) states.

International Journal of Modern Physics A

We use the method of QCD sum rules to estimate the masses of the charm baryon, [Formula: see text], bottom baryon [Formula: see text], strange baryon [Formula: see text] and compare them to their experimental values.