Effective nucleon mass, incompressibility, and third derivative of nuclear binding energy in the nonlinear relativistic mean field theory

Chiral Lagrangian for strange hadronic matter

“…It should be noted that a reasonable nuclear matter fit with acceptable compressibility [26] can be found (row L in table III), where m σ ≈ 500 MeV. This, in the present approach, allows for an interpretation of the σ-field as the chiral partner of the π-field and as the mediator of the mid-range attractive force between nucleons, though we believe the phenomenon is in reality generated through correlated two-pion exchange [27].…”

“…(26). Alternatively, one could break the SU(2) symmetry of the vacuum allowing for a nonvanishing vacuum expectation value of the scalar isovector field.…”

Compressional Properties of Nuclear Matter in the Relativistic Mean Field Theory with the Excluded Volume Effects

“…We could not find the parameter sets which reproduce (K, K c ) = (200.0, 2.577)MeV at any R n , as in the case of R n = 0 [11], where the calculated K c is always smaller than the empirical value 2.577MeV. This fact is understood as follows.…”

“…In previous papers [11] [12], we have studied the effective nucleon mass M * 0 , incompressibility K and the skewness K ′ in detail, using the relativistic mean field theory with the nonlinear σ terms [13] and the one with the nonlinear σ and ω terms [14]. We found that K = 300 ± 50MeV is favorable to account for K, K c , K vs and the symmetry energy a 4 , simultaneously [11] [12]. It was also found that the empirical values of K and K c in table 1 are not well reproduced by [12].…”

“…We remark that the pressure and the energy density of free point-like nucleons can be given by eqs. (11) and (12), respectively, if we replace M * by the free nucleon mass M. The baryonic chemical potential is also given by…”