Theory of nuclear collective vibrations

Abstract

We review the theory of nuclear collective vibrations evolved over decades from phenomenological quasiclassical picture to sophisticated microscopic approaches. The major focus is put on the underlying microscopic mechanisms of emergent effects, which define the properties of giant resonances and soft modes. The response of atomic nuclei to electromagnetic and weak fields is discussed in detail. Astrophysical implications of the giant resonances and soft modes are outlined.

Nuclear Reactions in Evolving Stars (and Their Theoretical Prediction)

“…Extended collections of experimental data, showing essentially a Lorentzian distribution as a function of energy, have been provided in the past (e.g. Berman and Fultz, 1975;Junghans et al, 2008), see for recent comprehensive reviews (Ishkhanov and Kapitonov, 2021;Liang and Litvinova, 2022), the latter reference corresponding to the chapter by Liang & Litvinova in this Handbook, containing a detailed derivation within a microscopic (rather than phenomenological "macroscopic") description of these giant resonances. Both types of options to choose are available in the TALYS code.…”

“…Alternatively microscopic approaches have been utilized within the quasi-particle Random Phase Approximation (QRPA) (see e.g., besides a macroscopic approach similar to the above description, different options in the TALYS code based on Skyrme Hatree-Fock BCS, Skyrme Hartree-Fock-Bogoluibov, the temperature-dependent relatistic mean field or the Gogny Hartree-Fock-Bogoluibov model) or also the Relativistic Quasiparticle Time Blocking approximation (RQTBA) framework (Litvinova et al, 2009). For a general review see Liang and Litvinova (2022).…”