Localization of the glueball and possible decuplets of tensor mesons

Abstract

We continue the study of flavor aspects of strong interaction. The answer to the question of glueball existence is probably a necessary step in this investigation. The existence of the glueball implies the existence of the decuplet. The model we consider requires that the mass of meson decuplet dominated by the glueball is enclosed between the masses of the ideal nonet N and S states.This description is applied to the two sets of the tensor mesons. One of them comprise the well known particles which are attributed to the widely known nonet 2 ++ . We argue that they belong to a decuplet if there exists the isoscalar tensor meson having the mass obeying the condition on glueball dominated meson; the meson f2(1430) could be a candidate. Another set includes large number of mesons lying in the 2GeV region. This set is used to test ability of the model to select particles belonging to the decuplet. *

Decuplets, glueballs and nonet anomalies

“…An opportunity for such an approach to be successful is provided by the VEC model 2 which describes all multiplets of LM using the system of master equations (ME) [4,5,6]…”

“…Having known the positive solution l 2 i of ME we can diagonalize the mass operator of the multiplet and determine its wave function. We thus describe broken SU(3) multiplet which is expressed in terms of physical masses [6].…”

“…VEC predicts the existence of D [6,7]. The mesons a, b, x 1 , x 2 , x 3 belong to D if they fit criteria (3).…”

“…Then the wave function of D can be constructed which components are determined by physical masses of D particles. The G state can be distinguished and its unphysical mass can be fixed [6].…”

“…Combining ( 9) with the criterion (3) we find that the masses of D 1 are subjected to further restrictions: the masses of the D 1 have to satisfy the mass ordering rule (MOR) [6] x…”