Two methods of locating resonances of the e – Ps (e- – e - – e+) atomic three-body system are presented. In the first method the homogeneous Faddeev-Merkuriev integral equations are solved by applying a separable expansion approximation on the potential terms in the Coulomb-Sturmian basis. This approximation transforms the integral equations into a matrix equation. The Coulomb-Sturmian matrix elements of the three-body Coulomb Green's operator are then calculated as a contour integral of the two-body Coulomb's Green matrices. The calculation of the Coulomb Green's matrices are considerably simplified by the use of continued fractions that result from a tri-diagonal Jacobi matrix. The complex energies are searched for as the complex zeros of the Fredholm determinant. In the second method the scattering matrix S is computed by means of resolvent Green's operators. The eigenphase sum is then calculated as a function of energy and the resonances appear as singularities of the plot of the eigenphase sum formula.
|School:||California State University, Long Beach|
|School Location:||United States -- California|
|Source:||MAI 49/02M, Masters Abstracts International|
|Subjects:||Physics, Atomic physics|
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