Momentum Transformation Connecting a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">NN</mml:mi></mml:math>Potential in the Nonrelativistic and Relativistic Two-Nucleon Schrödinger Equation

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  • Momentum Transformation Connecting a NN Potential in the Nonrelativistic and Relativistic Two-Nucleon Schrödinger Equation

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An analytical relation between center of mass momenta in a nonrelativistic and a relativistic two-nucleon Schrödinger equation is proposed which allows analytically rewriting 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 are also.

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