Nonlocal potentials and complex angular momentum theory (Articolo in rivista)

Type
Label
  • Nonlocal potentials and complex angular momentum theory (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s00023-010-0041-8 (literal)
Alternative label
  • Bros Jacques; De Micheli Enrico; Viano Giovanni Alberto (2010)
    Nonlocal potentials and complex angular momentum theory
    in Annales Henri Poincaré (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bros Jacques; De Micheli Enrico; Viano Giovanni Alberto (literal)
Pagina inizio
  • 659 (literal)
Pagina fine
  • 764 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.springerlink.com/content/w17690t23ux17772/?MUD=MP (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 11 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4 (literal)
Note
  • athematical Reviews on the web (MathSciNet) (literal)
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Institut de Physique Theorique, CEA-Saclay, Gif sur Yvette, France - Istituto di Biofisica, Consiglio Nazionale delle Ricerche, Genova, Italy - Dipartimento di Fisica, Universita' di Genova, Genova, Italy (literal)
Titolo
  • Nonlocal potentials and complex angular momentum theory (literal)
Abstract
  • The purpose of this paper is to establish meromorphy properties of the partial scattering amplitude T(lambda, k) associated with physically relevant classes N-omega(epsilon),alpha(gamma) a of nonlocal potentials in corresponding domains D-gamma,alpha((delta)) of the space C-2 of the complex angular momentum lambda and of the complex momentum k (namely, the square root of the energy). The general expression of T as a quotient Theta(lambda, k)/sigma(lambda, k) of two holomorphic functions in D-gamma,alpha((delta)) is obtained by using the Fredholm- Smithies theory for complex k, at first for lambda = l integer, and in a second step for lambda complex (Re lambda > - 1/2). Finally, we justify the \" Watson resummation\" of the partial wave amplitudes in an angular sector of the lambda-plane in terms of the various components of the polar manifold of T with equation sigma(lambda, k) = 0. While integrating the basic Regge notion of interpolation of resonances in the upper half- plane of lambda, this unified representation of the singularities of T also provides an attractive possible description of echoes in the lower half- plane of lambda. Such a possibility, which is forbidden in the usual theory of local potentials, represents an enriching alternative to the standard Breit-Wigner hard-sphere picture of echoes. (literal)
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