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.

arXiv comment7 pages, 4 figures, The 30th International Symposium on Lattice Field Theory

References in corpus (1)

• Lattice study of light scalar tetraquarks with I=0,2,1/2,3/2: are sigma and kappa tetraquarks?

Cited by in corpus (2)

• Investigation of the tetraquark candidate $a_0(980)$: technical aspects and preliminary results
• Importance of closed quark loops for lattice QCD studies of tetraquarks