Dirac potentials in a coupled channel approach to inelastic scattering

• Published in: Physical review. C, Nuclear physics Vol. 41; no. 1; pp. 370 - 373
• Main Authors: MISHRA, V. K, CLARK, B. C, COOPER, E. D, MERCER, R. L
• Format: Journal Article
• Language: English
• Published: Ridge, NY American Physical Society 1990
• Subjects: ANGULAR MOMENTUM; Atomic and molecular physics; Classical and quantum physics: mechanics and fields; COULOMB FIELD; COUPLED CHANNEL THEORY; DIFFERENTIAL EQUATIONS; DIRAC EQUATION; ELECTRIC FIELDS; Electronic structure of atoms, molecules and their ions: theory; ENERGY LEVELS; EQUATIONS; Exact sciences and technology; General theory of scattering; INELASTIC SCATTERING; NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR REACTIONS; Other topics in the theory of the electronic structure of atoms, molecules and their ions; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; Physics; POTENTIALS; SCALAR FIELDS; SCATTERING; SPIN; VECTOR FIELDS; WAVE EQUATIONS 653003 > Nuclear Theory > Nuclear Reactions & Scattering; Mathematical transformation; Inelastic scattering; Lorentz transformation; Dirac equation; Ground state; Interaction potential; Two body problem; Excitation energy; Excited state
• ISSN: 0556-2813; 1089-490X
• DOI: 10.1103/PhysRevC.41.370

It has been shown that there exist transformations that can be used to change the Lorentz transformation character of potentials, which appear in the Dirac equation for elastic scattering. We consider the situation for inelastic scattering described by coupled channel Dirac equations. We examine a two-level problem where both the ground and excited states are assumed to have zero spin. Even in this simple case we have not found an appropriate transformation. However, if the excited state has zero excitation energy it is possible to find a transformation.