Coulomb Forces in Three Charged Particles Interacting via Stripping Nuclear Reactions

Abstract

Abstrttct. Coulomb forces are examined for three charged interacting particles following the Faddeev formalism. Application of stripping nuclear reactions is studied for 6Li projectile incident on lZC target with alpha particle transfer. Differential corss-sections are calculated. The results are found to be improved by about 12.41yo due to thc inclusion of the Coulomb forces. A Coulomb force is one of the most interesting questions in three-body problems, since it is of quite different nature than that of separable potentials. Different approaches [I --31 have been suggested, in which it is necessary to know the two-body 7' matrix off-the-energy-shell. One of the approaches [I] is that by approximating the Coulomb Green's function in momentum space, while the other approach is an improved version of that approximation using the Yamaguchi potential. I n the present work, Coulomb forces are studied in the three-body problem u ith dii ect application to nuclear reactions. The system considered is a three charged intcracting pa,rticles system, the 6Li-incluced stripping reaction on lZC target with alpha particle transfer. The projectile is a cluster composition of a deuteron and an alpha particle. The nuclear two-body interactions for the different two-particle systems, (tleuteron-alpha, deuteron-% and alplia-12C), are taken as nonlocal separable potentials [4, 51. The Coulomb forces are considered to act for distances much larger than the ranges of the other interactions. Thus the Coulomb Creen's functions are defined by approximating the Coulomb wave functions in momentum space. 1Clodified E'atltleev equations are obtained in a set of coupled integral equations. They are managable a n d suitable for computation. Coulomb-IKriiftc an drei geladenen Teilchen einer StrippingreaktionThe non-local separable two-body nuclcar interaction bet\\ eeii the particl~s j and k is denoted by V,, where i, j and k refer to the three particles in cyclic permutation.The nuclear potentials are taken in momentum space to have Yamaguch I type as nonlocal potentials of the form