Resonant states 0+ of the Boron isotope 8B from the Jost-matrix analysis of the partial cross-sections
Abstract
The available R-matrix parametrization of experimental data on the excitation functions for the elastic and inelastic p7Be scattering at the collision energies up to 3.4MeV is used to generate the corresponding partial-wave cross-sections in the states with Jπ = 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-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+ resonances at the excitation energies ∼1.79 and ∼1.96MeV have been found.
- Publication:
-
International Journal of Modern Physics E
- Pub Date:
- 2019
- DOI:
- 10.1142/S0218301319500836
- arXiv:
- arXiv:1901.07391
- Bibcode:
- 2019IJMPE..2850083R
- Keywords:
-
- Jost matrix;
- multi-channel resonances;
- analytic continuation;
- Riemann surface;
- Coulomb interaction;
- Nuclear Theory
- E-Print:
- 27 pages, 11 figures. arXiv admin note: text overlap with arXiv:1807.00209