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Random matrix analysis of the monopole strength distribution in 208Pb

Severyukhin, A. P.; Åberg, S. LU ; Arsenyev, N. N.; Nazmitdinov, R. G. and Pichugin, K. N. (2016) In Physics of Atomic Nuclei 79(6). p.835-841
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... (More)

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.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physics of Atomic Nuclei
volume
79
issue
6
pages
7 pages
publisher
MAIK Nauka/Interperiodica
external identifiers
  • scopus:85011977172
  • wos:000394271400003
ISSN
1063-7788
DOI
10.1134/S1063778816060223
language
English
LU publication?
yes
id
4de68930-e984-4a88-9a9e-2fd0a52e3840
date added to LUP
2017-02-23 13:05:15
date last changed
2017-09-18 11:34:59
@article{4de68930-e984-4a88-9a9e-2fd0a52e3840,
  abstract     = {<p>We study statistical properties of the 0<sup>+</sup> spectrum of <sup>208</sup>Pb in the energy region E<sub>x</sub> ≤ 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>+</sup>, the phonon–phonon coupling is crucial for the description of the strength distribution of the 0<sup>+</sup> spectrum. In fact, this coupling has an impact on the spectral rigidity Δ<sub>3</sub>(L) which is shifted towards the random matrix limit of the Gaussian orthogonal ensembles.</p>},
  author       = {Severyukhin, A. P. and Åberg, S. and Arsenyev, N. N. and Nazmitdinov, R. G. and Pichugin, K. N.},
  issn         = {1063-7788},
  language     = {eng},
  month        = {11},
  number       = {6},
  pages        = {835--841},
  publisher    = {MAIK Nauka/Interperiodica},
  series       = {Physics of Atomic Nuclei},
  title        = {Random matrix analysis of the monopole strength distribution in <sup>208</sup>Pb},
  url          = {http://dx.doi.org/10.1134/S1063778816060223},
  volume       = {79},
  year         = {2016},
}