Title
Application of the sp(2,r) model to the nuclear breathing mode Application of the sp(2,r) model to the nuclear breathing mode
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Lancaster, Pa ,
Subject
Physics
Source (journal)
Physical review : C : nuclear physics. - Lancaster, Pa, 1970 - 2015
Volume/pages
29(1984) :2 , p. 628-635
ISSN
0556-2813
ISI
A1984SC14600029
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We apply the symplectic shell model to the breathing mode in closed-shell nuclei. The group theory of Sp(2,R) is used to embed the description of the collective monopole excitation in the framework of the oscillator shell model. This provides a microscopic description of the breathing mode by way of a diagonalization of the effective interaction in an appropriate collective subspace. We apply this model to closed-shell nuclei ranging from Ni56 to Pb208 using various Skyrme-type forces. The results confirm that a force with a nuclear matter incompressibility of about 200 MeV reproduces the experimental breathing mode energies. An evaluation of the calculated wave functions using the formalism of the Sp(2,R) boson picture indicates the importance of two-boson correlations that particularly affect the compression modulus. As an element in our analysis we compare Sp(2,R) model and random phase approximation results. This reveals the strengths and limitations of the symplectic model.
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