Modified form of vector meson coupling to study nuclear matter and its phase transition to quark matter

In the proposed field theoretic model to study nuclear matter and its phase transition to quark matter, vector mesons (omega(mu)) have the usual coupl ing to fermionic currents and also scalar type coupling involving omega(mu) omega(mu) with fermionic fields and scalar mesons. The effect of this modif ied vector meson interaction for cold symmetric nuclear matter is investiga ted using relativistic mean-field theory. One of the striking features of t he model is that at extremely high density part of the energy density due t o vector mesons is proportional to the density rho (instead of rho(2) as in Walecka model, Boguta model etc.) where Fermi gas energy density varies as rho(4/3).