Direct Nuclear Reactions

| | antisymmetrization operator |
| A, a | intrinsic coordinates of nucleus A and a, respectively, of which there are 3(A ?1) and 3(a ?1) |
| ?, ??, ?? | different channels in the partition ?, with ? denoting either a typical channel or the ground state channel and ??, ?? channels in which one, the other, or both of nuclei a or A is excited |
| ?, ?, | frequently used to denote different two-body partitions a+A, b+B, , of a many-nucleon system |
| B, b | similar to A, a, but for nuclei B and b |
| | optical model wave function in channel ? in which the relative motion is distorted by an optical potential (the asymptotic condition of outgoing (+) or incoming ( ?) waves is indicated) |
| E | eigenvalue of H, eigenfunction ?, or |
| E ? | kinetic energy in channel ?, eigenvalue of T ? , eigenfunction of exp( i k ? r ?) (E ? =E ?? ? ) |
| ? ? | eigenvalue of H ?, eigenfunction ? ?, and where ? A and ? a are eigenvalues of H A and H a with eigenfunction ? A and ? a ( ? ?= ? A+ ? a) |
| H | total Hamiltonian of the A+a=B+b many-nucleon system, ordered in terms of various partitions (H=H ? +T ? +V ? |