research article

Application of a molecular model to band-head states in <sup>9</sup>B

Abstract

Clarification of the apparent double 1/2+ analogue states in 9B through the R-matrix formalism has allowed experimentally observed states to be fitted into rotational bands through a least squares fitting method. From such experimental fits, the moment of inertia for the three rotational bands in 9B, Kπ = 3/2-, 1/2+ and 1/2-, in addition to Coriolis decoupling parameters, a, for the 1/2+ and 1/2- bands, are extracted. Values of ħ2/2I = A3/2- = 0.494±0.002 MeV, A1/2+ = 0.378±0.004 MeV and a1/2+ = 2.27±0.04, and A1/2- = 0.688±0.013$ MeV and a1/2- = 0.186±0.041 are obtained. Due to a lack of theoretical predictions for 9B, these structural parameters are compared to theoretically obtained values for analogue bands in 9Be and show remarkable agreement. Using the linear combination of nuclear orbital (LCNO) approach, the structures of each band-head state are examined in order to reproduce the observed properties of the respective rotational bands. It is found that without modification to the underlying 8Be substructure, these orbitals struggle to correctly generate the expected moment of inertia

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