Abstract
Critical phenomena associated with Mott transitions are investigated in the finite temperature SUf(3) Nambu-Jona-Lasinio model, that describes quarks u, d, s and bound mesons π, K. Critical exponents for the behavior close to the Mott temperature TM are determined for the static properties of a pion, such as mπ(T), gπqq(T), fπ(T), 〈r2〉π, and the pion polarizabilities αC,N, as well as for the behavior of mK(T), gKqs(T) fK(T) in the strange sector. The effect of the Mott transitions on the qq and ππ scattering lengths and for hadronization cross sections σqq→ππ(T) is discussed. Divergencies that occur in these quantities at TM indicate an intransparence with respect to hadronic and photonic probes, much like the phenomenon of critical opalescence. Physically, the Mott transition models the deconfinement transition expected of QCD since it corresponds to a delocalizayion of the bound states when the temperature is raised above TM.
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