Nucleon Resonances in Nuclear Matter and Finite Nuclei

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 are described as superpositions of particle–hole configurations including \(NN^{'-1}\) and \(N^*N^{-1}\) configurations. The 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 the response functions are 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 the local density approximation. Applications of the approach to resonance studies by high-energy heavy-ion reactions are recapitulated. Abstract Published by the Jagiellonian University 2026 authors