Exact matrix elements of the Uehling potential in three-body systems, and applications to exotic molecules - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2012

Exact matrix elements of the Uehling potential in three-body systems, and applications to exotic molecules

Résumé

Exact analytical expressions for the matrix elements of the Uehling potential in a basis of explicitly correlated exponential wave functions are presented. The obtained formulas are then used to compute with an improved accuracy the vacuum polarization correction to the binding energy of muonic and pionic molecules, both in a first-order perturbative treatment and in a nonperturbative approach. The first resonant states lying below the n=2 threshold are also studied, by means of the stabilization method with a real dilatation parameter.
Fichier principal
Vignette du fichier
uehling.pdf (129.73 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00759212 , version 1 (30-11-2012)
hal-00759212 , version 2 (28-12-2012)

Identifiants

Citer

Jean-Philippe Karr, Laurent Hilico. Exact matrix elements of the Uehling potential in three-body systems, and applications to exotic molecules. 2012. ⟨hal-00759212v1⟩

Collections

LKB
170 Consultations
305 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More