Electron capture from hydrogenic systems by positrons and positive muons
General Material Designation
[Thesis]
First Statement of Responsibility
U. D. U. Al-Kaabi
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
King Fahd University of Petroleum and Minerals (Saudi Arabia)
Date of Publication, Distribution, etc.
1997
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
126
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
M.S.
Body granting the degree
King Fahd University of Petroleum and Minerals (Saudi Arabia)
Text preceding or following the note
1997
SUMMARY OR ABSTRACT
Text of Note
In the present study the cross sections of the following reactions have been calculated in the framework of the impulse approximation: usdusd\eqalign{\rm e\sp{+}+H(1s)&\rm\longrightarrow (e\sp{+}e\sp{-})(1s)+H\sp{+},\cr\rm e\sp{+}+He\sp{+1}(1s)&\rm\longrightarrow (e\sp{+}e\sp{-})(1s)+He\sp{+2},\cr\rm \mu\sp{+}+X(1s)&\rm\longrightarrow (\mu\sp{+}e\sp{-})(1s)+X\sp{+1},\cr}usdusdwhere X stands for H, usd\rm He\sp{+1},\ Li\sp{+2},\ C\sp{+5},\ N\sp{+6},\ O\sp{+7}usd and Fe Though the impulse approximation was introduced as an improvement on the Born approximation, it was found to be systematically worse for scattering of electrons off atoms. However, for electron capture total cross sections from hydrogenic systems by positrons, in the energy range for which the impulse approximation is valid, the impulse approximation seems to be better. In this thesis the calculation shows features in the differential cross sections which indicate that even if the impulse approximation proves worse than the Born approximation for the total cross sections in these cases, the differential cross section may be better described by it.