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Resonances and Fluctuations in Nuclear Reaction Cross Sections
Author(s) -
Rotter I.
Publication year - 1981
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19814930307
Subject(s) - unitarity , physics , scattering , basis (linear algebra) , resonance (particle physics) , mixing (physics) , shell model , nuclear reaction , matrix (chemical analysis) , s matrix , atomic physics , nuclear physics , quantum mechanics , materials science , geometry , mathematics , composite material
On the basis of the continuum shell model, an expression for the S ‐matrix is derived. The external mixing between shape resonances and resonance states of complicated nuclear structure is investigated. It is shown that the doorway properties of the shape resonances may lead to an l ‐dependent transparency of the optical potential and, consequently, to an energy dependence of large back angle scattering if the unitarity of the S ‐matrix is taken into account.