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, $η$, introduced by the phase-space noncommutativity (NC). Although it is found that NC geometry does not affect the nucleon fields up to $O(η^2)$, it affects the energy density, the pressure and other derivable quantities of the NMEoS, such as the nucleon \textit{effective mass}. Under the conditions of saturation of the symmetric NM, the estimated value for the noncommutative parameter is $\sqrtη=0.014 MeV/c$.

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