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2018-07-18 - Article/Dans un journal avec peer-review - Anglais - 8 page(s)

Semay Claude , Sicorello Guillaume, "Many-body forces with the envelope theory" in Few-Body Systems, 59, 119

  • Edition : Springer (Germany)
  • Codes CREF : Physique atomique et nucléaire (DI1224), Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211)
  • Unités de recherche UMONS : Physique nucléaire et subnucléaire (S824)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) Many-body forces are sometimes a relevant ingredient in various fields, such as atomic, nuclear or hadronic physics. Their precise structure is generally difficult to uncover. So, phenomenological effective forces are often used in practice. Nevertheless, they are always very difficult to treat numerically. The envelope theory, also known as the auxiliary field method, is a very efficient technique to obtain approximate, but reliable, solutions of many-body systems with identical particles interacting via one- or two-body forces. It is adapted here to allow the treatment of a special form of many-body forces. In the most favourable cases, the approximate eigenvalues are analytical lower or upper bounds. Otherwise, numerical approximation can always be computed. Two examples of many-body forces are presented, and the critical coupling constants for generic attractive many-body potentials are computed. Finally, a semiclassical interpretation is given for the generic formula of the eigenvalues.

Identifiants :
  • arXiv : 1806.07582
  • DOI : 10.1007/s00601-018-1441-4

Mots-clés :
  • (Anglais) many-body quantum system
  • (Anglais) Envelope theory
  • (Anglais) many-body forces