Reciprocity relation for multichannel coupling kernels

Journal Article · Thu Jan 01 00:00:00 EST 1981 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.23.566· OSTI ID:6729748

Cotanch, S R; Satchler, G R

Assuming time-reversal invariance of the many-body Hamiltonian, it is proven that the kernels in a general coupled-channels formulation are symmetric, to within a specified spin-dependent phase, under the interchange of channel labels and coordinates. The theorem is valid for both Hermitian and suitably chosen non-Hermitian Hamiltonians which contain complex effective interactions. While of direct practical consequence for nuclear rearrangement reactions, the reciprocity relation is also appropriate for other areas of physics which involve coupled-channels analysis.

• Research Organization: Department of Physics, North Carolina State University, Raleigh, North Carolina 27650
• OSTI ID: 6729748
• Journal Information: Phys. Rev., C; (United States), Vol. 23:1
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COUPLED CHANNEL THEORY
KERNELS
MANY-BODY PROBLEM
HAMILTONIANS
EIGENFUNCTIONS
MATRIX ELEMENTS
S MATRIX
SPIN
T INVARIANCE
ANGULAR MOMENTUM
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATRICES
PARTICLE PROPERTIES
QUANTUM OPERATORS
653003* - Nuclear Theory- Nuclear Reactions & Scattering