TABLE OF CONTENTS The interaction between the projectile and scattered particle was written in (7.70). Alternatively, it can be written in terms of the spin and isospin exchange operator (7.71) as
| (7.106) |  |
Because this is written in isospin variables, the wave function on which it acts is assumed to be antisymmetrized. Therefore, the product of space exchange P r and spin and isospin exchange must yield ?1, so we could substitute
| (7.107) |  |
When written as in (7.106), the four terms are often referred to as Wigner ( V w), Bartlett ( V B), Heisenberg ( ? V H), and Majorana ( ? V M), respectively. This is most useful for the discussion of charge-exchange reactions such as (p, n) or (He 3, t). It was pointed out by Bloom et al. (1959) that the charge-exchange reaction is analogous to inelastic scattering in the sense that the charge exchange parts of the interaction will yield a transition amplitude of precisely the same structure as the direct amplitude of inelastic scattering. The only difference, an important one, is that a different combination of the components of the force are projected by the isospin matrix element in (7.87). In the charge exchange case it is
| (7.108) |  |
which enters the direct integral, compared with (7.92) or (7.93) for inelastic scattering of like or unalike nucleons. [ ] Thus the different reactions can in principle be exploited to disentangle the components of the effective interaction. The...
