Overview

We use the light-front quark model (LFQM) to investigate the structure of the scalar mesons, mainly focusing on the three heavy isoscalar states f0(1370), f0(1500), and f0(1710). We compute the spectrum of scalar mesons by diagonalizing a relativized, QCD-inspired model Hamiltonian written in a basis of 25 simple harmonic oscillator states. The masses are then used to perform a mixing analysis which assumes that the heavy isoscalars are mixtures of nn = uu+dd 2, ss, and gg. The resulting quark-glue content is used along with the meson wave-functions determined from the spectrum to compute the decay rates for f 0 → pipi, f0 → K K, and f0 → etaeta. We find that when the glueball contributions to the decays are ignored, the results are in poor agreement with the available data. However, when we estimate the effect of including the glueball contributions in the decays, a solution can be found which matches the data quite well. In this solution, the f0(1710) is mostly glueball (78%) while the f 0(1500) and f0(1370) are dominantly mixtures of nn and s s. Additionally, in this solution the glueball contributions to KK and etaeta decays are significant while the contributions to pipi decay are negligible. This finding is in agreement with Chanowitz [1] who uses chiral perturbation theory arguments to show that the amplitude for a glueball to decay to a q q pair is proportional to the quark mass. This results in a suppression of the pipi decay channel compared to K K and etaeta.

Full Product Details

9781243482662

Table of Contents

Reviews

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available