Calculation of Electron Scattering for ⁴He in a Continuum Shell Model

Author

Ming Yu

Date of Award

12-1989

Degree Name

Master of Arts

Department

Physics

First Advisor

Dr. Dean Halderson

Second Advisor

Dr. Michitoshi Soga

Third Advisor

Dr. Alvin Rosenthal

Access Setting

Masters Thesis-Open Access

Abstract

Calculations for the electroexcitation of the ⁴He, O+ state have been performed within the context of recoil corrected continuum shell model. Approximations previously employed for inelastic scattering with the recoil corrected continuum shell model are eliminated in the work. The O+ state exhausts only 10% of the energy weighted sum rule and previous shell model calculations for the excitation of this state produce about ten times too much strength. This difficulty is alleviated by the use translationally invariant wave functions and the application of continuum boundary conditions for this particle unbound state. The structure of the O+ state is determined by solving the translationally invariant Hamiltonian H = T + V -T_c.m. in a Os^-1ns basis with the M3Y interaction. The result of the calculation leads to excellent agreement with experiment. These results demonstrate that this state can be understood as a superposition of simple 1p-1h excitations in the internal coordinates.

Recommended Citation

Yu, Ming, "Calculation of Electron Scattering for ⁴He in a Continuum Shell Model" (1989). Masters Theses. 1161.
https://scholarworks.wmich.edu/masters_theses/1161