Deep-lying hole states in nuclei: Microscopic approach

Journal Article · Sat Oct 01 04:00:00 EDT 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.28.1763· OSTI ID:5593650

Klevansky, S P; Lemmer, R H

The strength function for deep-lying hole states in a nucleus is examined from a many-body point of view. Due to their interaction with the compound state background, such single hole excitations are interpreted as quasihole states that are not eigenstates of the nuclear Hamiltonian. These states show up as giant resonances in the strength function, with position and width determined by the real and imaginary parts of the quasihole energy. A formal theory of the strength and fragmentation of such states is developed by splitting the self-energy into background and doorway state contributions. The theory is applied to the calculation of the strength function for the isotopes of Sn using doorway states of a collective nature that consist of a hole plus collective vibrations of the target nucleus. A microscopic description of both the collective excitations and the hole state that it dresses is given in terms of a modified random phase approximation procedure that uses Green's functions for the individual single particle and single hole states that have been dressed by their interaction with the nuclear background. Specific calculations for the isotopes of Sn show good agreement with experiment.

• Research Organization: Department of Physics and Nuclear Physics Research Unit, University of the Witwatersrand, Johannesburg, 2001, South Africa
• OSTI ID: 5593650
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 28:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE EXCITATIONS
ENERGY
ENERGY-LEVEL TRANSITIONS
EXCITATION
FUNCTIONS
GREEN FUNCTION
ISOTOPES
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
NUCLEAR STRUCTURE
POTENTIALS
RANDOM PHASE APPROXIMATION
SELF-ENERGY
STRENGTH FUNCTIONS
TIN ISOTOPES