Analytic Structure and Power-Series Expansion of the Jost Matrix

Rakityansky, S. A.; Elander, Nils

doi:10.1007/s00601-012-0376-4

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2022

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“…This work is a continuation of our previous publications, [10][11][12][13][14]18,19 where the reader can find all the details of the method we use here. To avoid the unnecessary repetition, we therefore present it rather briefly.…”

Section: Introductionmentioning

confidence: 93%

Resonant states 3+ and 2− of the Boron isotope ⁸B

Tshipi

Rakityansky

Ershov

2022

Int. J. Mod. Phys. E

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The Jost functions, constructed by fitting available partial cross-sections for the elastic [Formula: see text] scattering with [Formula: see text], are analytically continued to complex energies, where the resonances are located as their zeros. In addition to the resonance energies and widths, the residues of the [Formula: see text]-matrix at the corresponding poles, as well as the Asymptotic Normalization Constants (ANC) are determined. The fitting is done using the semi-analytic representation of the Jost function with proper analytic structure, defined on the Riemann surface whose topology involves not only the square-root but also the logarithmic branching caused by the Coulomb interaction.

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