Finite Pressure Corrections to Nucleon Structure Function Inside a Nuclear Medium

TL;DR

This paper investigates how finite pressure corrections influence the nucleon structure function within nuclear matter, highlighting their importance at high densities and their impact on the equation of state and nuclear compressibility.

Contribution

The study introduces a nonlinear extension of the RMF model incorporating finite pressure corrections based on the HH theorem, aligning with DBHF calculations without adding new parameters.

Findings

Finite pressure corrections significantly modify nucleon SF at high densities.

The modified model's EoS closely matches DBHF calculations with Bonn A potential.

Nuclear compressibility decreases with increasing density.

Abstract

Our model calculations performed in the frame of the Relativistic Mean Field (RMF) approach show how important are the modifications of nucleon Structure Function (SF) in Nuclear Matter (NM) above the saturation point. They originated from the conservation of a parton longitudinal momenta - essential in the explanation of the EMC effect at the saturation point of NM. For higher density the finite pressure corrections emerge from the Hugenholtz -van Hove (HH) theorem valid for NM and asks to modify the nucleon SF. The density evolution of the nuclear SF seems to be stronger for higher densities. Here we show that the course of Equation o State (EoS) in our modified Walecka model is very close to that obtained from extensive DBHF calculations with a Bonn A potential. The nuclear compressibility decreases. Our model - a nonlinear extension of nuclear RMF, has no additional parameters.