On the low energy behavior of Regge poles
Journal Article
·
· Journal of Mathematical Physics
- School of Mathematics, Cardiff University, Cardiff CF24 4AG (United Kingdom)
- School of Computer Science, Cardiff University, Cardiff CF24 3AA (United Kingdom)
We investigate the behavior of Regge poles in the low energy limit. With the use of small argument asymptotics of the spherical Hankel functions, we show that for a finite square well potential, the associated Regge poles tend to the spectral points of the limiting self-adjoint problem. This is generalized to a compactly supported potential by applying a resolvent argument to the difference of the nonzero and zero energy wavefunctions. Furthermore, by an integral equation method we prove analogous results for a potential such that |(1+r)U(r)| is integrable. This confirms the experimental results which show that Regge poles formed during low energy electron elastic scattering become stable bound states.
- OSTI ID:
- 21476568
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
BEHAVIOR OF REGGE POLES IN A POTENTIAL AT LARGE ENERGY
Dynamical equations for a Regge theory with crossing symmetry and unitarity. III. Crossing-symmetric representation with explicit Regge-pole terms
REGGE POLES AND BRANCH CUTS FOR POTENTIAL SCATTERING
Journal Article
·
Wed Oct 31 19:00:00 EST 1962
· Physical Review (U.S.) Superseded in part by Phys.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:4779807
Dynamical equations for a Regge theory with crossing symmetry and unitarity. III. Crossing-symmetric representation with explicit Regge-pole terms
Journal Article
·
Fri Jul 15 00:00:00 EDT 1977
· Phys. Rev., D; (United States)
·
OSTI ID:7297729
REGGE POLES AND BRANCH CUTS FOR POTENTIAL SCATTERING
Journal Article
·
Thu Feb 28 23:00:00 EST 1963
· Journal of Mathematical Physics (New York) (U.S.)
·
OSTI ID:4726733
Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMPTOTIC SOLUTIONS
BESSEL FUNCTIONS
CONFIGURATION
ELASTIC SCATTERING
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FUNCTIONS
HANKEL TRANSFORM
INTEGRAL CALCULUS
INTEGRAL EQUATIONS
INTEGRAL TRANSFORMATIONS
LEPTONS
MATHEMATICAL SOLUTIONS
MATHEMATICS
NUCLEAR POTENTIAL
POTENTIALS
REGGE POLES
SCATTERING
SPHERICAL CONFIGURATION
SQUARE-WELL POTENTIAL
TRANSFORMATIONS
WAVE FUNCTIONS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMPTOTIC SOLUTIONS
BESSEL FUNCTIONS
CONFIGURATION
ELASTIC SCATTERING
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FUNCTIONS
HANKEL TRANSFORM
INTEGRAL CALCULUS
INTEGRAL EQUATIONS
INTEGRAL TRANSFORMATIONS
LEPTONS
MATHEMATICAL SOLUTIONS
MATHEMATICS
NUCLEAR POTENTIAL
POTENTIALS
REGGE POLES
SCATTERING
SPHERICAL CONFIGURATION
SQUARE-WELL POTENTIAL
TRANSFORMATIONS
WAVE FUNCTIONS