A microscopic treatment of nucleon scattering from complex nuclei

Thesis/Dissertation · Sun Jan 01 00:00:00 EST 1984

OSTI ID:5094674

Calle, C I

A calculation of a non-local, energy dependent optical potential for scattering of nucleons by nuclei using a pure theoretical approach is presented. In this microscopic treatment, a completely off-shell t-matrix is obtained from a realistic hard-core nucleon-nucleon potential. The non-local potential thus obtained is inserted into the Schroedinger equation for elastic scattering. The solution to this integro-differential equation is obtained by the use of the plane wave expansion method. To simplify the calculations, the spherical Bessei functions of the incoming plane wave are expanded into harmonic oscillator wavefunctions, and a Moshinsky transformation is applied to the product of these wavefunctions and the harmonic oscillator wavefunctions which represent the bound nucleons in the target nucleus. The harmonic oscillator wavefunctions of the relative coordinate thus obtained are expanded back in terms of spherical Bessel functions. Both expansions show rapid convergence. In this approach, use is made of finite nuclei including complete off-shell effects. Thus, the solutions of the integro-differential equations include all orders of multiple scattering with the nucleus in the ground state. Specifically, a study of the elastic scattering of protons on {sup 4}He at 85, 156 and 200 MeV is made. Comparison with elastic scattering data for these intermediate energies over the full angular range is presented. This first principle, parameter-free approach reproduces the general angular distributions shown by the experimental data at these energies, including the energy dependence of the back angle rise.

• Research Organization: Ohio Univ., Athens, OH (USA)
• OSTI ID: 5094674
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPOUND NUCLEI
NUCLEON REACTIONS
CALCULATION METHODS
ELASTIC SCATTERING
EXPERIMENTAL DATA
HELIUM 4
MEASURING INSTRUMENTS
MEASURING METHODS
MEV RANGE 100-1000
OPTICAL MODELS
BARYON REACTIONS
DATA
ENERGY RANGE
EVEN-EVEN NUCLEI
HADRON REACTIONS
HELIUM ISOTOPES
INFORMATION
ISOTOPES
LIGHT NUCLEI
MEV RANGE
NUCLEAR REACTIONS
NUCLEI
NUMERICAL DATA
SCATTERING
STABLE ISOTOPES
640302* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory
645100 - High Energy Physics- Particle Interactions & Properties-Experimental
651320 - Nuclear Properties & Reactions
A=6-19
Experimental