A Theorem on Peratization of Singular Potentials and Other Miscellanea
- 1 November 1966
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (11) , 2103-2106
- https://doi.org/10.1063/1.1704895
Abstract
It is proved for potentials of the form V(r) = A(r)/rn (n > 3) [with A(r) more singular at r = 0 than r(dA/dr), or apporaching zero less rapidly] that the peratized scattering length can be written down immediately in known form. The distrinction between regularization and peratization is made clear, and a common conjecture about the g (coupling constant) behavior of the peratized scattering length is disproved by a counter example. Finally, various mistakes in the literature are corrected.Keywords
This publication has 13 references indexed in Scilit:
- Limiting procedures for singular potentials. — IIIIl Nuovo Cimento A (1971-1996), 1966
- Limiting procedures for singular potentials — IIIl Nuovo Cimento (1869-1876), 1965
- Singular Potentials and RegularizationPhysical Review B, 1965
- Exponentially singular potentials and peratizationIl Nuovo Cimento (1869-1876), 1965
- Highly singular potential and peratizationIl Nuovo Cimento (1869-1876), 1965
- Singular Logarithmic Potentials and PeratizationPhysical Review B, 1964
- Scattering by the Singular PotentialPhysical Review B, 1964
- Weak-Coupling Limit for Scattering by Strongly Singular PotentialsPhysical Review B, 1964
- Singular Potentials and Peratization. I.Reviews of Modern Physics, 1964
- A Field Theory of Weak Interactions. IPhysical Review B, 1963