Nucleon Resonances in Nuclear Matter and Finite Nuclei

TL;DR

This paper extends the theory of nuclear excitations involving nucleon resonances to asymmetric nuclear matter and finite nuclei, providing a detailed formalism and applications to charge-exchange modes and resonance studies.

Contribution

It introduces a generalized N*RPA Dyson equation framework for describing nucleon resonance excitations in asymmetric nuclear matter and finite nuclei, including configuration mixing and coupled channels formalism.

Findings

Response functions for charge-exchange modes are derived.

Spectral structures of excitations in finite nuclei are analyzed.

Applications to high-energy heavy ion reactions are discussed.

Abstract

The theory of nuclear excitations involving nucleon resonances is revisited and significantly extended to asymmetric nuclear matter and higher P- and S-wave $N^*$ resonances. Excited states of are described as superpositions of particle-hole configurations including $NN^{'-1}$ and $N^*N^{-1}$ configurations. Configuration mixing is taken into account on the one-loop level by solving the generalized $N^*RPA$ Dyson equation. The underlying coupled channels formalism is derived and response functions is discussed. Applications of the approach are illustrated for charge-exchange modes of asymmetric nuclear matter and finite nuclei. The spectral gross structures of corresponding excitations in finite nuclei are investigated in local density approximation. Applications of the approach to resonance studies by high-energy heavy ion reactions are recapitulated.