| Vol. 53,
No. 4 October 1999 pp. 707-725 Relative wavefunctions, vertex functions and coupling constants for the virtual decay of 4 He V K SHARMA and B K CHIKARA Department of Physics,
Institute of Advanced Studies, University of Meerut,
Meerut 250 004, India Abstract. The d+d; t+p and h+n relative wave functions and their asymptotic normalizations are considered in the framework of the generator coordinate method (GCM) and compared with ATMS (amalgamation of two-body correlation into multiple scattering processes) method which used the realistic Reid soft core interaction. The asymptotic normalization of relative wave functions provide various coupling constants, the cluster probability amplitude (the so-called Z 1 /2 -factor) and matter RMS radii. These wave functions are also used to obtain 4He - d - d , 4 He - t- p and 4 He - h- n vertex functions in the virtual decay of 4 He. The extrapolation of vertex functions for negative values of q 2 upto the corresponding poles provide the vertex constants which are comparable with other estimates. It is noticed that in GCM the coupling constants C 2 for 4 He - d - d vertex is less than 2 as has been obtained in the forward dispersion relation technique. Keywords. Relative wave functions; vertex functions; coupling constants. PACS No. 25.10 |