DIBARYON CONDENSATE IN NUCLEAR-MATTER - EXACT ANALYSIS IN ONE-DIMENSIONAL MODELS

Phase transitions of nuclear matter to the quark-gluon plasma with sub sequent restoration of chiral symmetry have been widely discussed in t he literature. We investigate the possibility For occurrence of dense nuclear matter with a dibaryon Bose-Einstein condensate as an intermed iate state below the quark-gluon phase transition. An exact analysis o f this state of matter is presented in a one-dimensional model. The an alysis is based on a reduction of the quantization rules For the N-bod y problem to N coupled algebraic transcendental equations. We observe that when the Fermi momentum approaches the resonance momentum, the on e-particle distribution function increases near the Fermi surface. Whe n the Fermi momentum is increased beyond the resonance momentum, the e quation of state becomes softer. The observed behavior can be interpre ted in terms of formation of a Bose-Einstein condensate of two-fermion resonances (e.g., dibaryons). Ln cold nuclear matter, it should occur at 2(m(N)+epsilon(F))greater than or equal to m(D) where m(N) and m(D ) are the nucleon and dibaryon masses and epsilon(F) is the nucleon Fe rmi energy. (C) 1997 Academic Press.