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Statut |
Confirmé |
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Série |
NUC-THEO |
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Domaines |
nucl-th |
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Date |
Mercredi 11 Janvier 2017 |
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Heure |
11:30 |
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Institut |
IPN |
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Salle |
A015, Bâtiment 100 |
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Nom de l'orateur |
Oller |
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Prenom de l'orateur |
José Antonio |
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Addresse email de l'orateur |
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Institution de l'orateur |
Universidad de Murcia, Espagne |
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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. |
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Numéro de preprint arXiv |
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Commentaires |
$$ |
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Fichiers attachés |
- 2016_01_11_JA_Oller.pdf ( bytes)
- 2016_01_11_JA_Oller.pdf (209076 bytes)
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