A NUMERICAL STUDY OF THE REGGE PARAMETERS IN POTENTIAL SCATTERING (thesis)

Technical Report · Wed Oct 30 04:00:00 EST 1963

DOI:https://doi.org/10.2172/4082078· OSTI ID:4082078

Ahmadzadeh, A.

The threshold and asymptotic behavior of the Regge parameters is discussed, and some examples given. It is shown that the position and residue of the first trajectory of a single attractive Yukawa potential satisfy the dispersion relation expected when there are no intersections with other trajectors. An example is given of a le does not satisfy such a dispersion relation. The Regge parameters for the first fewv trajectories of a single ates. Examples are given of a simple superposition of attractive and repulsive Yukawa potentials for which the trajectories are similar to the relativistic case. By modifying the back ground integral, the Regge formula is rewritten to include the Born term and to make the background integral less significant. The Khuri series for the partial-wave amplitude was modified to explicitly, single out the Born term. In deriving this modified series it is shown that one needs weaker asymptotic conditions on the partial-wave amplitude than those used by Khuri. The convergence of this series was investigated for the case of a single Yukawa potential. It is found that the modified series converges considerably faster than the Khuri series. (auth)

• Research Organization: California. Univ., Berkeley Lawrence Radiation Lab.
• DOE Contract Number: W-7405-ENG-48
• NSA Number: NSA-18-009087
• OSTI ID: 4082078
• Report Number(s): UCRL-11096
• Country of Publication: United States
• Language: English

Related Subjects

BACKGROUND
BORN APPROXIMATION
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
FIELD THEORY
INTERACTIONS
KHURI REPRESENTATION
MATHEMATICS
NUCLEAR MODELS
NUMERICALS
PERTURBATION THEORY
PHYSICS
QUANTUM MECHANICS
REGGE POLES
RELATIVITY THEORY
SCATTERING
YUKAWA POTENTIAL