https://doi.org/10.1140/epjad/i2005-06-108-y
ENAM 2004
Application of the extended pairing model to heavy isotopes
1
Lawrence Livermore National Laboratory, 94550, Livermore, CA, USA
2
Department of Physics and Astronomy, Louisiana State University, 70803, Baton Rouge, LA, USA
3
Department of Physics, Liaoning Normal University, 116029, Dalian, PRC
* e-mail: vesselin@phys.lsu.edu
Received:
21
October
2004
Accepted:
19
March
2005
Published online:
22
June
2005
Relative binding energies (RBEs) within three isotopic chains ( 100-130Sn, 152-181Yb, and 181-202Pb) have been studied using the exactly solvable extended pairing model (EPM) (F. Pan, V.G. Gueorguiev, J.P. Draayer, Phys. Rev. Lett. 92, 112503 (2004) (see also these proceedings)). The unique pairing strength G, which reproduces the experimental RBEs, has been determined. Within EPM, log(G) is a smooth function of the model space dimension dim(A), as expected for an effective coupling strength. In particular, for the Pb and Sn isotopes G can be described by a two parameter expression that is inversely proportional to the dimensionality of the model space, G = αdim(A)-β with β ≈ 1.
PACS: 21.10.Dr Binding energies and masses – / 71.10.Li Excited states and pairing interactions in model systems – / 21.60.Cs Shell model –
© Società Italiana di Fisica and Springer-Verlag, 2005