A Momentum Transformation Connecting a NN Potential in the Nonrelativistic and the Relativistic Two-Nucleon Schroedinger Equation
arXiv:nucl-th/9903071 · doi:10.1103/PhysRevLett.80.2547
Abstract
An analytical relation between center of mass momenta in a nonrelativistic and a relativistic two-nucleon Schrödinger equation is proposed which allows to analytically rewrite the two Schrödinger equations into each other. As a consequence a NN potential occurring in the relativistic Schrödinger equation can be gained from a nonrelativistic one by an analytical procedure. The S-matrices in the two equations are exactly identical and therefore the two-nucleon phase shifts.
10 pages (2 figures)