Renormalization group in potential scattering

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1995-01-01

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Adhikari, Sadhan K. [UNESP]
Frederico, T. [UNESP]

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Renormalization group equations for the physical t matrix are written for quantum scattering with some potentials singular at the origin in two and three dimensions. The momentum-space perturbative treatment of these scattering problems exhibits ultraviolet divergences and permits renormalization leading to a scale. These equations yield the correct asymptotic behavior and some low-energy properties of the t matrix. Illustrations are made for the Dirac delta potential in two and three dimensions. © 1995 The American Physical Society.

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Physical Review Letters, v. 74, n. 23, p. 4572-4575, 1995.