https://doi.org/10.1140/epjd/e2007-00292-4
Exponential correlated basis in Schwinger variational principle for positronium formation in hydrogen
1
Department of Mathematics, Burdwan University, Golapbag, Burdwan 713 104, West Bengal, India
2
Department of Mathematics, Visva-Bharati University, Santiniketan 731 235, West Bengal, India
Corresponding author: a puspajit2001@yahoo.com
Received:
6
June
2007
Revised:
30
August
2007
Published online:
17
October
2007
An exponential correlated basis set is tested within the framework of multi-channel Schwinger variational principle in the momentum space. It is found that inclusion of only the positron-electron correlation in the basis set is enough to obtain accurate results for all significant partial waves for ground state positronium formation in positron-hydrogen collisions at low and intermediate energies (6.856–75 eV). Results are in conformity with other accurate variational and non-variational calculations as well as observed data available in the literature.
PACS: 34.85.+x – Positron scattering / 36.10.Dr – Positronium, muonium, muonic atoms and molecules
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007
