INVESTIGADORES
GASANEO Gustavo
congresos y reuniones científicas
Título:
A break-up model solved in hyperspherical coordinates
Autor/es:
L. U. ANCARANI, G. GASANEO AND D. M. MITNIK
Lugar:
Salt Lake City
Reunión:
Conferencia; 64rd Gaseous Electronics Conference; 2011
Resumen:
One way to describe ion-atom break-up processes consists
in splitting the total wave function as Psi =Psi_0^+ + Psi_sc, where Psi_0 is an asymptotically prepared initial state and Psi_sc is the scattering solution.
Adequate asymptotic behavior should be imposed, and hyperspherical
coordinates (rho,alpha ) are well adapted for this purpose. A Sturmian approach in these coordinates may be used to solve the scattering problem.
To test numerically the proposed Sturmian-hyperspherical approach we
make use of an analytically solvable model for three particles break up
processes with a Coulomb interaction. Closed forms in hyperspherical
coordinates are derived for the solution with outgoing wave behavior
and for the scattering transition amplitude. They compare very well
with numerical results validating the use of the proposed Sturmian hyperspherical
approach. Moreover, as all the Sturmian basis functions
possess the correct outgoing Coulombic asymptotic behavior and diagonalize
not only the kinetic energy but also the Coulomb interaction, the
convergence rate is strongly accelerated: only a few basis functions are
necessary to reproduce the analytical solutions for both the scattering
wave function and the transition amplitude.