Optical potential study of Σ nuclear states

A. Gal*, G. Toker, Y. Alexander

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

73 Scopus citations

Abstract

Single-particle energies and widths of Σ hypernuclear states are calculated in light systems (A ≤ 40) as energy eigenvalues of the Schrödinger equation for a complex optical potential that fits level shifts and widths of Σ- atoms. The interpretation and significance of Σ (normalizable) bound states embedded in the Λ hypernuclear (as well as, sometimes, in the Σ hypernuclear) continuum are discussed and their properties are studied, primarily in order to identify relatively narrow (Γ ≲ 10 MeV) states. The connection between these calculations and the recently observed Σ hypernuclear states suggests that bound states embedded in the Σ continuum, rather than (nonnormalizable) Gamow resonant states, are produced in (K-, π) nuclear reactions.

Original languageEnglish
Pages (from-to)341-377
Number of pages37
JournalAnnals of Physics
Volume137
Issue number2
DOIs
StatePublished - Dec 1981
Externally publishedYes

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