Glueball masses in quantum chromodynamics

Abstract

We review the recent glueball mass calculations using an efficient method for solving the Schrödinger equation order by order with a scheme preserving the continuum limit. The reliability of the method is further supported by new accurate results for (1+1)-dimensional σ models and (2+1)-dimensional non-abelian models. We present first and encouraging data for the glueball masses in 3+1 dimensional QCD.

Towards resolution of the scalar meson nonet enigma

“…The latter is in agreement with the values for the scalar glueball mass 1740 ± 71 MeV and 1710 ± 50 MeV obtained from QCD lattice calculations by Sexton et al [17] and Luo et al [18], respectively. An interpretation of the f 0 (1500) as a conventional qq state, as well as a qualitative explanation of its reduced KK partial width, were also given by Klempt et al [19] in a relativistic quark model with linear confinement and instanton-induced interaction.…”

“…We remark also that the masses of both isoscalar scalar states predicted in this paper are below a typical range of 1600 ± 100 MeV provided by QCD lattice calculations as that for the lightest scalar glueball [17,18,37]. They may however get shifted from the predicted values because of possible mixture with the lightest scalar glueball.…”

Glueball spectrum from an effective hamiltonian

“…Our value is however in excellent agreement with the central value given in Ref. [30] (after normalizing to the mass of the 0 ++ according to Ref. [29]).…”

“…[9], so we decided to take the value from Ref. [30] instead, where a lattice Hamiltonian method was used. Finally, we use some of the (preliminary) values of Ref.…”

“…2 we graphically compare our fit with the values for the glueball masses as cited in Refs. [9,29,30]. The latter are represented by grey bars including the one-sigma deviation for the statistical errors.…”