FIZIKA B 12 (2003)  4, 267 - 274

MESON EXCHANGE FORMALISM AND THE DEFINITION OF DELTA FUNCTIONS

DUBRAVKO HORVAT^a,1, ZORAN NARANČIĆ^a and DUBRAVKO TADIĆ^b

^aDepartment of Physics, Faculty of Electrical Engineering, University of Zagreb, 10 000 Zagreb, Croatia

^bDepartment of Physics, University of Zagreb, 10 000 Zagreb, Croatia
¹E-mail address: dubravko.horvat@fer.hr

Received 1 August 2003;    Accepted 8 December 2003
Online 19 April 2004

It is shown that in the simple context of the elementary one-meson exchanges, the use of the "improper" delta "functions" could lead to the physically correct results. The same results were obtained by involving limiting values of the integrals over "proper" functions, thus providing the examples of the sequences connected with delta "functions". That formulation of sequences of integrals emerged automatically from the physical considerations concerning hypernuclear processes.

PACS numbers: 21.30.-x, 13.75.Cs
UDC 539.141

Keywords: delta function, one-meson exchange, integral over proper function, hypernuclear processes

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