ELECTROPRODUCTION OF NEUTRAL PIONS FROM DEUTERIUM. Thesis
Thesis/Dissertation
·
OSTI ID:4131998
BS>The theory of the production of neutral pi mesons by electrons scattered from deuterons is discussed. Only the case wherein the deuteron remains bound in the final state is considered. The analysis corresponds to a physical situation in which the incident and final electron energies are measured, and the angles of the final deuteron and electron relative to the initial electron and to each other are known. Thus the results are given in the form of a differential cross section per unit energy of the electron, per unit solid angle of the electron, and per unit solid angle of the deuteron. The primary assumption made is that, according to the impulse approximation, the amplitude for the over-all process is the sum of corresponding amplitudes for the two individual nucleons making up the deuteron. The fact that the nucleons are not at rest with respect to the deuteron center of momentum is taken into account by performing an appropriate average over the internal momentum of the deuteron in a non-relativistic approximation. This leads to a dependence on the deuteron wave functions through what are known as the deuteron form factors. The single nucleon amplitudes are taken from the simplest form resulting from dispersion relations. An interesting consequence of the isotopic singlet nature of the deuteron is that only one isotopic component contributes to the amplitude. In the static approximation used, this causes the nucleon charge and magnetic moment form factors to enter only in the vector combination mu /sup v/( lambda /sup 2/). The results are valid only for the energy range for which the j == 3/2, I= 3/2 scattering phase shift is expected to dominate the behavior. Numerical computations yield cross sections of magnitude somewhat less than 10/sup -35/ cm/ sup 2//Mev (sterad)/sup 2/. Empirical relations are used in the derivation for the nucleon and deuteron form factors and the pion-nucleon scattering phase shifts. (TCO)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-18-004465
- OSTI ID:
- 4131998
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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