Structure of the even-even Kr isotopes within the interacting boson model

Abstract

The Kr isotopes with A=72 to 84 are investigated within the interacting boson model (IBM-2) using two difFerent approaches. In the 6rst investigation the single-particle energies of the neutron and proton bosons are assumed equal, e = e"= e, whereas the second investigation is based on their being difFerent (e" f e ). The results of these calculations are compared with the experimental data and previous theoretical investigations. We also attempt to determine the shape transition in these nuclei.PACS number(s): 21.60. Fw, 23.20.Lv, 27.50.+e

Spectroscopy and lifetime measurements of states inKr76populated inRb76Giannatiempo1, Perego2, Sona3 et al. 2005Phys. Rev. C182100View full textAdd to dashboardCite

“…[6]. In subsequent IBA-2 analyses, where B(E2) reduced transition probabilities [7,8] and E0 transitions [9] were also taken into account, the 0 + 2 states in 78−82 Kr have again been considered to lie in the model space. Following the IBA-2 study carried out by some of us [9] on low-lying levels in 78−82 Kr, a new analysis (not including excited 0 + states) was performed [10] to study the positive-parity bands in 72−84 Kr.…”

“…[1][2][3][4][5]) predict a structural change of the equilibrium configurations along the krypton chain with coexistence of prolate and near-oblate or spherical shapes. On the other hand, the properties of positive parity states in the even krypton isotopes are correctly reproduced [6][7][8][9][10] by collective models based on the interacting boson approximation (IBA) [11]. One of the still open problems concerns the structure of the lowlying 0 + states, whose study is of particular interest to clarify the contribution of the different excitation mechanisms at low energy.…”

Coexistence of Prolate and Oblate Shapes in 98 Sr Nuclei Using IBM2

“…The parameter 𝜔 𝜈 is the strength of dipole neutron-neutron interaction we consider explicitly in this calculation similar to Refs. [30,31]. The parameters 𝜆 𝑘 (𝑘 = 1, 2 and 3) are strengths of the Majorana interaction.…”

Investigation of some even-even selenium isotopes within the interacting boson model-2

“…Se isotopes have been done by using two different parameters of the IBM-2 Hamiltonian [10,20]. The main purpose of these processes is to investigate the importance of the Majorana operator in IBM-2 Hamiltonian.…”

“…The Selenium isotopes have been extensively studied by using the interacting boson model (IBM) [1][2][3][4][5][6] since these isotopes are nearly spherical and their low-lying energy levels structures show vibrational features. During the last decade, the above mentioned in addition to the isotopes of neighboring nuclei of selenium have been widely studied by using the same model [5][6][7][8][9][10][11][12].…”