Random matrix analysis of the monopole strength distribution in ^{208}Pb
(2016) In Physics of Atomic Nuclei 79(6). p.835841 Abstract
We study statistical properties of the 0^{+} spectrum of ^{208}Pb in the energy region E_{x} ≤ 20 MeV. We use the Skyrme interaction SLy4 as our model Hamiltonian to create a singleparticle spectrum and to analyze excited states. The finiterank 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 onephonon 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 Δ_{3}(L) which is shifted towards... (More)
We study statistical properties of the 0^{+} spectrum of ^{208}Pb in the energy region E_{x} ≤ 20 MeV. We use the Skyrme interaction SLy4 as our model Hamiltonian to create a singleparticle spectrum and to analyze excited states. The finiterank 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 onephonon 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 Δ_{3}(L) which is shifted towards the random matrix limit of the Gaussian orthogonal ensembles.
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 author
 Severyukhin, A. P.; Åberg, S. ^{LU} ; Arsenyev, N. N.; Nazmitdinov, R. G. and Pichugin, K. N.
 organization
 publishing date
 20161101
 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
 10637788
 DOI
 10.1134/S1063778816060223
 language
 English
 LU publication?
 yes
 id
 4de68930e9844a889a9e2fd0a52e3840
 date added to LUP
 20170223 13:05:15
 date last changed
 20170918 11:34:59
@article{4de68930e9844a889a9e2fd0a52e3840, 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 singleparticle spectrum and to analyze excited states. The finiterank 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 onephonon 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 = {10637788}, language = {eng}, month = {11}, number = {6}, pages = {835841}, 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}, }