S-MATRIX, LEFT-HAND CUT DISCONTINUITY AND POTENTIAL
Journal Article
·
· Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B
A two body potential that is a continuous superposition of exponential potentials is assumed. It is shown in a straightforward way how the scattering amplitude itself may be obtained unambiguously from a knowledge of the left-hand cut discontinuity of the S-wave scattering amplitude. Further, a one to one correspondence is estsblished between the unphysical cut discontinuity and the inverse Laplace transform of the potential. When the discontinuity is known in a certain range of values the inverse Laplace transform of the potential is exactly known in a corresponding range of values. An extension of the treatment when a repulsive hard core is present at short distance is given. The usefulness of the inverse Laplace transform of the potential as an infermediate tool in the calculation of the scattering amplitude is discussed. (auth)
- Research Organization:
- CERN, Geneva
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-018959
- OSTI ID:
- 4011217
- Journal Information:
- Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10), 19; ISSN NUCIA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
The exact discontinuity of a partial wave along the left-hand cut and the exact N∕D method in non-relativistic scattering
The left-hand cut discontinuity and equivalent potentials
UNSTABLE PARTICLES IN S-MATRIX THEORY
Journal Article
·
Sat Dec 14 23:00:00 EST 2019
· Annals of Physics
·
OSTI ID:22852354
The left-hand cut discontinuity and equivalent potentials
Journal Article
·
Tue May 01 00:00:00 EDT 1962
· Il Nuovo Cimento
·
OSTI ID:4828218
UNSTABLE PARTICLES IN S-MATRIX THEORY
Journal Article
·
Mon Jul 15 00:00:00 EDT 1963
· Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
·
OSTI ID:4703551