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Search for \(\alpha\) + core states in even-even Cr isotopes

  • M. A. SouzaEmail author
  • H. Miyake
Regular Article - Theoretical Physics

Abstract.

The \(\alpha\) + core structure is investigated in even-even Cr isotopes from the viewpoint of the local potential model. The comparison of \(Q_{\alpha}/A\) values for even-even Cr isotopes and even-even \(A = 46, 54, 56, 58\) isobars indicates that 46Cr and 54Cr are the most favorable even-even Cr isotopes for the \(\alpha\) + core configuration. The ground state bands of the two Cr isotopes are calculated through a local \(\alpha\) + core potential containing a nuclear term with (1 + Gaussian) \(\times\) (W.S. + W.S.3) shape. The calculated spectra give a very good description of most experimental 46Cr and 54Cr levels, including the \(0^{+}\) bandheads. The reduced \( \alpha\)-widths, rms intercluster separations and B(E2) transition rates are determined for the ground state bands. The calculations reproduce the order of magnitude of the available experimental B(E2) values without using effective charges, indicate that the low-spin members of the ground state bands present a stronger \(\alpha\)-cluster character, and point out that the 46Cr ground state band has a significant degree of \(\alpha\)-clustering in comparison with 44Ti . The volume integral per nucleon pair and rms radius obtained for the \( \alpha\) + 50Ti potential are consistent with those reported previously in the analysis of \(\alpha\) elastic scattering on 50Ti.

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Copyright information

© SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Instituto de FísicaUniversidade de São PauloSão PauloBrazil
  2. 2.Departamento de MecânicaInstituto Federal de Educação, Ciência e Tecnologia de São Paulo - Campus São PauloSão PauloBrazil

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