Analytic continuation as a bridge between continuum and bound states

The problem of obtaining characteristics of bound nuclear states from continuum states data is discussed. It is shown that the ambiguities due to the existence of phase-equivalent potentials can be resolved by using the analytic properties of scattering amplitudes. The methods of determination of as...

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Main Authors: Blokhintsev Leonid, Savin Dmitry
Format: Article
Language:English
Published: EDP Sciences 2015-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20159504008
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spelling doaj-e57050f969a4499b94748c453238d4242021-08-02T16:02:50ZengEDP SciencesEPJ Web of Conferences2100-014X2015-01-01950400810.1051/epjconf/20159504008epjconf_icnfp2014_04008Analytic continuation as a bridge between continuum and bound statesBlokhintsev Leonid0Savin Dmitry1Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State UniversitySkobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State UniversityThe problem of obtaining characteristics of bound nuclear states from continuum states data is discussed. It is shown that the ambiguities due to the existence of phase-equivalent potentials can be resolved by using the analytic properties of scattering amplitudes. The methods of determination of asymptotic normalization coefficients and vertex constants are considered. The asymptotic normalization coefficients for 6Li in the α + d channel are found by analytic continuation of the two-channel effective range expansion. The account of inelastic channels within the effective range approach is discussed.http://dx.doi.org/10.1051/epjconf/20159504008
collection DOAJ
language English
format Article
sources DOAJ
author Blokhintsev Leonid
Savin Dmitry
spellingShingle Blokhintsev Leonid
Savin Dmitry
Analytic continuation as a bridge between continuum and bound states
EPJ Web of Conferences
author_facet Blokhintsev Leonid
Savin Dmitry
author_sort Blokhintsev Leonid
title Analytic continuation as a bridge between continuum and bound states
title_short Analytic continuation as a bridge between continuum and bound states
title_full Analytic continuation as a bridge between continuum and bound states
title_fullStr Analytic continuation as a bridge between continuum and bound states
title_full_unstemmed Analytic continuation as a bridge between continuum and bound states
title_sort analytic continuation as a bridge between continuum and bound states
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2015-01-01
description The problem of obtaining characteristics of bound nuclear states from continuum states data is discussed. It is shown that the ambiguities due to the existence of phase-equivalent potentials can be resolved by using the analytic properties of scattering amplitudes. The methods of determination of asymptotic normalization coefficients and vertex constants are considered. The asymptotic normalization coefficients for 6Li in the α + d channel are found by analytic continuation of the two-channel effective range expansion. The account of inelastic channels within the effective range approach is discussed.
url http://dx.doi.org/10.1051/epjconf/20159504008
work_keys_str_mv AT blokhintsevleonid analyticcontinuationasabridgebetweencontinuumandboundstates
AT savindmitry analyticcontinuationasabridgebetweencontinuumandboundstates
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