Towards the Assignment for the Ground Scalar Meson

Abstract

Combining three complementary approaches, nonrelativistic constituent quark model, Regge phenomenology, and meson-meson mixing, we obtain the mass relations which relate different meson multiplets. With the help of known meson masses, these relations can be used for the prediction of unknown meson states masses. The utility of this new analysis technique is applied for the scalar meson and results in a possible allocation scheme for the ground scalar meson.

Mass Spectrum of Meson State and Mixing Angle of Strange Axial-Vector Mesons

“…where is a phenomenological parameter describing the SU(3) broken ratio of the nonstrange and strange quark propagators via the constituent quark mass ratio. In the present work, we take = 0.63, which is determined within the nonrelativistic constituent quark model [17,20].…”

“…Considering the fact that is the orthogonal partner of the isovector state of a meson nonet, one can expect that degenerates with isovector state = =1 . Applying the relations (8) for the ground pseudoscalar meson, we obtain the pure member mass of the ground pseudoscalar meson nonet (1 1 0 ) = 685 MeV [17]. Here and in the following, all the masses used as input for our calculation are taken from the PDG [5].…”

“…The organization of this paper is as follows. In Section 2, the brief review of the mass mixing matrix of isoscalar states is given (for 2 Advances in High Energy Physics the detailed review, see, e.g., [15][16][17]). In Section 3, the mass spectrum of 1 1 1 meson state is presented in the framework of Regge phenomenology and glueball-meson mass relation.…”