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Title: Random matrix analysis of the monopole strength distribution in {sup 208}Pb

Journal Article · · Physics of Atomic Nuclei
 [1];  [2];  [3];  [4]
  1. LTH, Lund University, Mathematical Physics (Sweden)
  2. Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics (Russian Federation)
  3. Universitat de les Illes Balears, Departament de Física (Spain)
  4. Kirensky Institute of Physics (Russian Federation)

We study statistical properties of the 0{sup +} spectrum of {sup 208}Pb in the energy region E{sub x} ≤ 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{sup +}, the phonon–phonon coupling is crucial for the description of the strength distribution of the 0{sup +} spectrum. In fact, this coupling has an impact on the spectral rigidity Δ{sub 3}(L) which is shifted towards the random matrix limit of the Gaussian orthogonal ensembles.

OSTI ID:
22612596
Journal Information:
Physics of Atomic Nuclei, Vol. 79, Issue 6; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
Country of Publication:
United States
Language:
English