A Phase-Space Noncommutative Picture of Nuclear Matter

TL;DR

This paper explores how phase-space noncommutativity influences the nuclear matter equation of state within a relativistic quantum field theory, revealing modifications to energy density, pressure, and effective mass, with potential implications for nuclear physics models.

Contribution

It introduces phase-space noncommutativity into the QHD-I nuclear model and analyzes its effects on nuclear matter properties, providing a novel perspective on noncommutative geometry in nuclear physics.

Findings

Nuclear matter equation of state depends on the noncommutative momentum scale η.

Noncommutativity affects energy density, pressure, and effective nucleon mass.

Estimated noncommutative parameter is approximately 0.014 MeV/c.

Abstract

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 \textit{effective mass}. Under the conditions of saturation of the symmetric NM, the estimated value for the noncommutative parameter is $\sqrt{\eta}=0.014 MeV/c$.