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Statut Confirmé
Série IPN-THEO
Domaines nucl-th
Date Mercredi 11 Janvier 2017
Heure 11:30
Institut IPN
Salle A015, Bâtiment 100
Nom de l'orateur Oller
Prenom de l'orateur José Antonio
Addresse email de l'orateur
Institution de l'orateur Universidad de Murcia, Espagne
Titre S-matrix solution of the Lippmann-Schwinger equation for regular and singular potentials
Résumé We have derived a new method based on S-matrix theory to solve the Lippmann-Schwinger equation in partial waves that can applied to both ordinary and singular potentials. The approach is based on the N/D method and in an integral equation derived from the Lippmann-Schwinger equation that allows one to calculate exactly the discontinuity of the T-matrix along the left-hand cut (which is the dynamical input of the N/D method). For an ordinary potential the method reproduces the standard results, although it can deal with short-range potentials more powerfully. For singular potentials this new method provides renormalized solutions that satisfy all the required analytical properties for a partial-wave amplitude. It again reproduces the well-established results from the Lippmann-Schwinger equation, but it also goes beyond and can provide new solutions that are necessary to reproduce phenomenology. Illustrations of the method to regular and singular potentials in nucleon-nucleon scattering will be discussed.
Numéro de preprint arXiv
Commentaires $$
Fichiers attachés
  • 2016_01_11_JA_Oller.pdf ( bytes) OPEN
  • 2016_01_11_JA_Oller.pdf (209076 bytes) OPEN

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