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Resonant states $0^{+}$ $0^{+}$ of the Boron isotope $^{8} B$ $^{8} B$ from the Jost-matrix analysis of the partial cross-sections

S. A. Rakityansky

http://orcid.org/0000-0002-7988-8035

Department of Physics, University of Pretoria, Pretoria, South Africa

E-mail Address: rakitsa@up.ac.za

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S. N. Ershov

Joint Institute for Nuclear Research, Dubna, Russia

E-mail Address: ershov@theor.jinr.ru

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, and

T. J. Tshipi

Department of Physics, University of Pretoria, Pretoria, South Africa

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https://doi.org/10.1142/S0218301319500836Cited by:3 (Source: Crossref)

Abstract

The available $R$ $R$ -matrix parametrization of experimental data on the excitation functions for the elastic and inelastic $p^{7} Be$ $p^{7} Be$ scattering at the collision energies up to 3.4MeV is used to generate the corresponding partial-wave cross-sections in the states with $J^{π} = 0^{+}$ $J^{π} = 0^{+}$ . Thus, obtained data are fitted using the semi-analytic two-channel Jost matrix with a proper analytic structure and some adjustable parameters. Then the spectral points are sought as zeros of the Jost matrix determinant (which correspond to the $S$ $S$ -matrix poles) at complex energies. The correct analytic structure makes it possible to calculate the fitted Jost matrix on any sheet of the Riemann surface whose topology involves not only the square-root but also the logarithmic branching caused by the Coulomb interaction. In this way, two overlapping $0^{+}$ $0^{+}$ resonances at the excitation energies $\sim 1.79$ $\sim 1.79$ and $\sim 1.96$ $\sim 1.96$ MeV have been found.

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