dorsal/arxiv
View SchemaA Momentum Transformation Connecting a NN Potential in the Nonrelativistic and the Relativistic Two-Nucleon Schroedinger Equation
| Authors | H. Kamada, W. Gloeckle |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9903071 |
| URL | https://arxiv.org/abs/nucl-th/9903071 |
| DOI | 10.1103/PhysRevLett.80.2547 |
| Journal | Phys.Rev.Lett.80:2547-2549,1998 |
Abstract
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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"abstract": "An analytical relation between center of mass momenta in a nonrelativistic\nand a relativistic two-nucleon Schr\\\"odinger equation is proposed which allows\nto analytically rewrite the two Schr\\\"odinger equations into each other. As a\nconsequence a NN potential occurring in the relativistic Schr\\\"odinger equation\ncan be gained from a nonrelativistic one by an analytical procedure. The\nS-matrices in the two equations are exactly identical and therefore the\ntwo-nucleon phase shifts.",
"arxiv_id": "nucl-th/9903071",
"authors": [
"H. Kamada",
"W. Gloeckle"
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"doi": "10.1103/PhysRevLett.80.2547",
"journal_ref": "Phys.Rev.Lett.80:2547-2549,1998",
"title": "A Momentum Transformation Connecting a NN Potential in the Nonrelativistic and the Relativistic Two-Nucleon Schroedinger Equation",
"url": "https://arxiv.org/abs/nucl-th/9903071"
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