A meson-baryon bound state in a 2 + 1 lattice QCD model with two flavours and strong coupling.
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2007
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We consider the existence of bound states of one meson and one baryon in an imaginary-time
formulation of lattice quantum chromodynamics (QCD). We analyse an SU(3) theory with
two flavours in 2 + 1 dimensions and two-dimensional (2D) spin matrices. For small hopping
parameter 0 < 1 and sufficiently large glueball mass, i.e., in the strong coupling limit,
restricting our analysis to the 1/2 total isospin sector, we show the existence of a
meson-baryon bound state solution to the Bethe–Salpeter (B–S) equation in a ladder
approximation below the meson-baryon threshold ( −5ln ), and with binding energy of
strength 0.1081 2. The existence of the bound state is an effect of two sources of attraction, a
zero-range energy dependent potential and a space range-one potential associated with a quark
anti-quark exchange.
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FRANCISCO NETO, A. A meson-baryon bound state in a 2 + 1 lattice QCD model with two flavours and strong coupling. Physica Scripta. Topical Issues, v. 75, p. 484-489, 2007. Disponível em: <http://iopscience.iop.org/article/10.1088/0031-8949/75/4/020/meta>. Acesso em: 20 jul. 2017.