Abstract
We demonstrate the existence of elastically unitary scattering amplitudes, corresponding to a given Born term, when the latter satisfies certain conditions of Höldercontinuity. The results are directly applicable to nonrelativistic potential scattering; and they will also be useful later in connection with the construction of relativistic, crossing-symmetric amplitudes. In this preliminary study, no singularities are allowed in the right half of the complex angular-momentum plane; but it is intended eventually to introduce such singularities (Regge poles and branch-points).
| Original language | English |
|---|---|
| Pages (from-to) | 55-74 |
| Number of pages | 20 |
| Journal | Communications in Mathematical Physics |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 1975 |
| Externally published | Yes |
Cite this
Atkinson, D., & Frederiksen, J. S. (1975). Sommerfeld-watson representation for double-spectral functions - I. Potential scattering without regge poles. Communications in Mathematical Physics, 40(1), 55-74. https://doi.org/10.1007/BF01614097