Application of the Kerman-Klein method to the solution of a spherical shell model for a deformed rare-earth nucleus
Pavlos Protopapas, Abraham Klein
Abstract
Core-particle coupling models are made viable by assuming that core properties such as matrix elements of multipole and pairing operators and excitation spectra are known independently. From the completeness relation, it is seen, however, that these quantities are themselves algebraic functions of the calculated core-particle amplitudes. For the deformed rare-earth nucleus 158Gd, we find that these sum rules are well-satisfied for the ground state band, implying that we have found a self-consistent solution of the non-linear Kerman-Klein equations.
Create a lesson
Related papers
Density-driven α-particle clustering in neutron-rich oxygen isotopes
M. Davies, E. Yüksel, J. -P. Ebran et al.
Multi-phonon wobbling excitations as a probe for dynamical quasiparticle alignment
R. Budaca, A. I. Budaca
Interacting Boson System at Finite Temperatures: The treatment of the lattice QCD results
D. Anchishkin, V. Gnatovskyy, D. Zhuravel et al.
Spurious center-of-mass mode as an S-matrix pole within the Jost-random-phase approximation
Kazuhito Mizuyama
Quantum computing for high energy nuclear physics
João Barata
Elliptic and triangular flow responses in O+O and Ne+Ne collisions from hydrodynamics and kinetic theory
Victor E. Ambrus, Giuliano Giacalone, Clemens Werthmann et al.