Showing papers on "Mass formula published in 1970"

Dualities in Baryon-Antibaryon Scattering

Abstract: Discussions are given of possible solutions for the Finite Energy Sum Rules (FESR), applied to baryon-antibaryon scattering, with or without assuming resonances in exotic channels Exotic resonances, assuming they exist, are classified, as a result of factorization, according to 36-plet, 18-plet, 18-plet and nonet It is then shown that these mesons are required to obey an equal spacing mass formula and nonet-like couplings, which are direct extensions of the ideal nonet scheme for 1- and 2+ mesons When there are no resonances in exotic channels, the idea of duality between ordinary meson resonances is not applicable to baryon-antibaryon scattering However, by extending the concept of the duality, it is possible to find a solution of the FESR \"fVe construct an explicit formula with such extended duality, where Regge cuts as well as Regge poles appear in the amplitude in question

Generalized Group‐Theoretical Analysis of Spontaneous Symmetry Breaking

Abstract: A group‐theoretical analysis of spontaneous symmetry breaking is carried out in an extension of Glashow's work. A general theorem is proved which is then used to give several interesting results. Apart from a rederivation of Glashow's result, we are able to show, among other things, the following: If a hadronic triplet exists in nature which is nontrivially coupled to the rest of the hadrons, then octet enhancement immediately follows independently of any dynamical detail; in models containing the vector nonet, φ ‐ ω mixing can, in principle, occur as a particular form of spontaneous symmetry breaking in the octet pattern; and if octet enhancement holds, the very accurate mass formula mφ2+mω2=2mk2* is established without recourse to any dynamical detail. Under the same general assumption, a further relation is found relating the mass of the nonet with the mixing angle, which is 4mk2*−3(cos2θmφ2+sin2θmω2)−mρ2=0.

Spinor space and mass formula for hadrons

Abstract: In this note a representation of space-time as a bilinear product of spinors and a suggestion concerning the nature of space-time in the region occupied by an elementary particle are examined. These ideas were put forward by S~Rz (1), who defined the internalsymmetry algebra Ua in terms of differential operators in the spinor variables and then derived the Gell-Nfann-Okubo (2) mass formula for hadrons from the tensor properties of the mass operator of the external (de Sitter) space-time symmetry algebra. The novelty of this approach prompts us to consider its relationship to the way in which this problem has been attempted previously, i.e: by embedding the external and internal symmetry algebras in a larger higher-symmetry or noninvariance algebra Let W~ be a four-component complex spinor, providing a basis for the fourdimensional representation of SUe.e, the group of 4 x 4 complex unimodular matrices satisfying

Generalized Algebraic Mass Formulas. I

Abstract: It is shown that the SL(2, C)‐Poincare associative algebraic model of Bohm can be extended without essential difficulty to an SL(2, C)‐de Sitter model which gives rise to a meson mass formula with both spin and isospin dependence.