A Phase-Space Noncommutative Picture of Nuclear Matter

Noncommutative features are introduced into a relativistic quantum field theory model of nuclear matter, the quantum hadrodynamics-I nuclear model (QHD-I). It is shown that the nuclear matter equation of state (NMEoS) depends on the fundamental momentum scale, $\eta$, introduced by the phase-space noncommutativity (NC). Although it is found that NC geometry does not affect the nucleon fields up to $O({\eta }^2)$, it affects the energy density, the pressure and other derivable quantities of the NMEoS, such as the nucleon $\mathit{\text{effective}}\mathit{\text{mass}}$. Under the conditions of saturation of the symmetric NM, the estimated value for the noncommutative parameter is $\sqrt{\eta}=0.014 MeV/c$.