Computational techniques and applications of semiclassical scattering theory in nuclear physics

Thesis/Dissertation · Sun Jan 01 04:00:00 EST 1989

OSTI ID:6096146

Hatchell, P J

In this thesis, methods are developed whereby the semiclassical positive and negative angle scattering contributions to elastic cross sections can be calculated via integral angular momentum summation using the exact phase shifts. The technique works by localizing the contributions of the partial wave sum to those regions where the S-matrix changes most rapidly. These methods are also generalized for describing spin degrees of freedom, and it is shown that an interpretation concerning the angular momentum properties of the semiclassical traveling waves provides a convenient language for describing polarization phenomena. In addition, the semiclassical contributions appropriate for describing the electron-nucleus scattering system are evaluated by using the saddle point integration technique. This procedure is carried out by evaluating the exact Dirac phase shifts analytically continued into the complex angular momentum plane. These contributions are related to the features of the electron-nucleus interaction, and compared with the exact result.

• Research Organization: Wisconsin Univ., Madison, WI (USA)
• OSTI ID: 6096146
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
CALCULATION METHODS
CHARGED-PARTICLE REACTIONS
COMPARATIVE EVALUATIONS
CROSS SECTIONS
ELASTIC SCATTERING
ELECTRON REACTIONS
LEPTON REACTIONS
MATRICES
NUCLEAR REACTIONS
PHASE SHIFT
S MATRIX
SCATTERING
SEMICLASSICAL APPROXIMATION