A Momentum transformation connecting a N N potential in the nonrelativistic and the relativistic two nucleon Schrodinger equation - INSPIRE

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A Momentum transformation connecting a N N potential in the nonrelativistic and the relativistic two nucleon Schrodinger equation

H. Kamada
(
- Ruhr U., Bochum
)
,
Walter Gloeckle
(
- Ruhr U., Bochum
)

1998

10 pages

Published in:

Phys.Rev.Lett. 80 (1998) 2547-2549

e-Print:

nucl-th/9903071 [nucl-th]

DOI:

10.1103/PhysRevLett.80.2547

View in:

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Abstract: (arXiv)

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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