A Momentum Transformation Connecting a NN Potential in the Nonrelativistic and the Relativistic Two-Nucleon Schroedinger Equation

Details A Momentum Transformation Connecting a NN Potential in the Nonrelativistic and the Relativistic Two-Nucleon Schroedinger Equation A Momentum Transformation Connecting a NN Potential in the Nonrelativistic and the Relativistic Two-Nucleon Schroedinger Equation

1999-03-30

arxiv.org/abs/nucl-th/9903071v1

Phys.Rev.Lett.80:2547-2549,1998

Physics

Nuclear Physics

Nuclear Theory

10 pages (2 figures)

Scientific paper

10.1103/PhysRevLett.80.2547

An analytical relation between center of mass momenta in a nonrelativistic and a relativistic two-nucleon Schr\"odinger equation is proposed which allows to analytically rewrite the two Schr\"odinger equations into each other. As a consequence a NN potential occurring in the relativistic Schr\"odinger 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.

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