Second- and Third-Order Anharmonic Effects within the Quantum Many-Body Theory

The paper presents a brief review of the results in the self-consistent theory of the anharmonic effects of the second and third orders in the phonon production amplitude, based on the quantum many-body theory. Numerical (for second-order effects) and theoretical analyses of new, i.e., three- and fo...

Full description

Saved in:
Bibliographic Details
Published in:Physics of particles and nuclei 2019-09, Vol.50 (5), p.544-549
Main Authors: Shitov, M. I., Kamerdzhiev, S. P.
Format: Article
Language:English
Subjects:
GROUND STATES
MAGIC NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL SOLUTIONS
NUCLEAR PHYSICS AND RADIATION PHYSICS
Particle and Nuclear Physics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUASIPARTICLE-PHONON MODEL
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The paper presents a brief review of the results in the self-consistent theory of the anharmonic effects of the second and third orders in the phonon production amplitude, based on the quantum many-body theory. Numerical (for second-order effects) and theoretical analyses of new, i.e., three- and four-quasiparticle correlations in the ground state (backward-going graphs) in magic nuclei and in nuclei with pairing are given. A formula for the probability of transition between one- and two-phonon states is obtained and compared to the solution of a similar problem within the quasiparticle-phonon model. It is shown that the approach under consideration contains a number of new effects.
ISSN:1063-7796
1531-8559
DOI:10.1134/S1063779619050216