Eur. Phys. J. C (2008) 53: 659-666
https://doi.org/10.1140/epjc/s10052-007-0497-y

Regular Article - Theoretical Physics

Bound state inequality for high mass exchanges in a scalar field model

¹ Department of Applied Mathematics, University of Campinas, PO Box 6065, SP 13083-970, Campinas, Brazil
² Department of Physics, University of Lecce and INFN Lecce, PO Box 193, CAP 73100, Lecce, Italy

^* e-mail: deleo@ime.unicamp.br

Received: 3 July 2007
Published online: 8 January 2008

Abstract

Ladder diagrams are relevant for the study of bound states. The condition on the coupling strength for the existence of a bound state has been deduced in a scalar field theory for the case of low mass exchanges. We apply this approach to the case of very high mass exchanges.