Analysis of the scalar mesons on the Lattice
Abstract
We study the possibility that the scalar mesons exist as four-quark states. The energy shift of two pseudoscalar mesons as a function of spatial lattice size makes a distinction between bound states and scattering states of four-quark states. We calculate the four-quark state in the quenched approximation, ignoring the two-quark annihilation diagrams and the vacuum channels. We perform a calculation of pseudoscalar meson scattering amplitudes, using N_f=2 Wilson fermion and plaquette/Iwasaki gauge actions. We obtain the indication that the four-quark states in the case of the isospin zero (I=0) and two (I=2) channels are no bound states. And we find that the bound energy depends strongly on pion mass rather than the ratio of pion mass to rho meson mass.
Keywords
Cite
@article{arxiv.1211.2072,
title = {Analysis of the scalar mesons on the Lattice},
author = {Masayuki Wakayama and Chiho Nonaka},
journal= {arXiv preprint arXiv:1211.2072},
year = {2012}
}
Comments
7 pages, 4 figures, The 30th International Symposium on Lattice Field Theory