Random matrix analysis of the monopole strength distribution in 208Pb
- Authors: Severyukhin A.P.1,2, Åberg S.3, Arsenyev N.N.1, Nazmitdinov R.G.4,1,2, Pichugin K.N.5
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Affiliations:
- Bogoliubov Laboratory of Theoretical Physics
- Dubna State University
- Mathematical Physics
- Departament de Física
- Kirensky Institute of Physics
- Issue: Vol 79, No 6 (2016)
- Pages: 835-841
- Section: Nuclei
- URL: https://journal-vniispk.ru/1063-7788/article/view/190406
- DOI: https://doi.org/10.1134/S1063778816060223
- ID: 190406
Cite item
Abstract
We study statistical properties of the 0+ spectrum of 208Pb in the energy region Ex ≤ 20 MeV. We use the Skyrme interaction SLy4 as our model Hamiltonian to create a single-particle spectrum and to analyze excited states. The finite-rank separable approximation for the particle–hole interaction enables us to perform the calculations in large configuration spaces. We show that while the position of the monopole resonance centroid is determined by one-phonon excitations of 0+, the phonon–phonon coupling is crucial for the description of the strength distribution of the 0+ spectrum. In fact, this coupling has an impact on the spectral rigidity Δ3(L) which is shifted towards the random matrix limit of the Gaussian orthogonal ensembles.
About the authors
A. P. Severyukhin
Bogoliubov Laboratory of Theoretical Physics; Dubna State University
Author for correspondence.
Email: sever@theor.jinr.ru
Russian Federation, Dubna; Dubna
S. Åberg
Mathematical Physics
Email: sever@theor.jinr.ru
Sweden, Lund
N. N. Arsenyev
Bogoliubov Laboratory of Theoretical Physics
Email: sever@theor.jinr.ru
Russian Federation, Dubna
R. G. Nazmitdinov
Departament de Física; Bogoliubov Laboratory of Theoretical Physics; Dubna State University
Email: sever@theor.jinr.ru
Spain, Palma; Dubna; Dubna
K. N. Pichugin
Kirensky Institute of Physics
Email: sever@theor.jinr.ru
Russian Federation, Krasnoyarsk
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