Extrapolation of scattering data to the negative-energy region
L. D. BlokhintsevPacific National University, Khabarovsk 680035, RussiaA. S. KadyrovDepartment of Physics and Astronomy, Curtin University, GPO Box U1987, Perth, WA 6845, AustraliaA. M. MukhamedzhanovCyclotron Institute, Texas A&M University, College Station, Texas 77843, USAД. А. СавинSkobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia
2017en
ABI
Аннотация
Explicit analytic expressions are derived for the effective-range function for the case when the interaction is represented by a sum of the short-range square-well and long-range Coulomb potentials. These expressions are then transformed into forms convenient for extrapolating to the negative-energy region and obtaining the information about bound-state properties. Alternative ways of extrapolation are discussed. Analytic properties of separate terms entering these expressions for the effective-range function and the partial-wave scattering amplitude are investigated.
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