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The European Physical Journal A

, Volume 31, Issue 4, pp 777–780 | Cite as

Yukawa model on a lattice: Two-body states

  • F. De Soto
  • J. Carbonell
  • C. Roiesnel
  • Ph. Boucaud
  • J. P. Leroy
  • O. Pène
QNP 2006

Abstract.

We present some Quantum Field Theory (QFT) results concerning the Yukawa model, solved non-perturbatively with the help of lattice techniques. In particular we focus on the possibility of generating a two-nucleon bound state, as compared to the non-relativistic limit of the same model. Preliminary results show the appearance of zero modes of the Dirac operator. They limit the numerical solution of the model to values of the coupling constant which are too small to allow binding of the two-nucleon system.

PACS.

13.75.Cs Nucleon-nucleon interactions 11.10.-z Field theory 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  • F. De Soto
    • 1
    • 2
  • J. Carbonell
    • 2
  • C. Roiesnel
    • 3
  • Ph. Boucaud
    • 4
  • J. P. Leroy
    • 4
  • O. Pène
    • 4
  1. 1.Departamento de Sistemas Fısicos Quımicos y NaturalesUniversidad Pablo de OlavideSevillaSpain
  2. 2.Laboratoire de Physique Subatomique et CosmologieGrenobleFrance
  3. 3.UMR7644Centre de Physique Théorique Ecole PolytechniquePalaiseauFrance
  4. 4.Laboratoire de Physique Théorique, UMR8627Université Paris-XIOrsayFrance

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