NEW CLASS OF NONLOCAL MODELS FOR DESCRIBING INTERACTIONS OF COMPOSITE-PARTICLES AND TESTING OF THESE MODELS IN THE 3-BODY PROBLEM

A new nonlocal model is proposed for describing interaction between co mposite particles. This model makes it possible to perform a continuou s transition-without going beyond the class of spectral-equivalent Ham iltonians-between two alternative interaction potentials that are supe rsymmetric partners. The model is based on additional orthogonality co nditions (in low partial waves) introduced for nodeless localized stat es that simulate compound states of a composite system (for example, a quark bag). This considerably reduces the coupling constant of the re pulsive core. The field of the most natural application of the propose d model includes the description of the short range part of nucleon-nu cleon interaction and analysis of potential interaction between nuclea r clusters. In the former case, quark degrees of freedom are incorpora ted into the one-boson-exchange sector of interaction in the minimal w ay. The model is comprehensively investigated in the three-body proble m, and it is shown that the results obtained by S. Nakaichi-Maeda [Phy s. Rev. C: Nucl. Phys., 1986, vol. 34, p. 303] and K. Hahn et al. [Phy s. Lett. B, 1986, vol. 169, p. 303] are generally incorrect and are as sociated with strong restriction of the functional spaces used by thes e authors.