Authors
Abstract
Positronium (Ps) formation in a ground state and 2s state of the hydrogen atom by positron impact has been studied within the framework of Eikonal direct approximation in the intermediate and high energy range. For this process, we compute Eikonal charge- exchange scattering amplitude, the differential and total cross sections by reducing the six-dimensional integrals to one-dimensional integrals. Numerical results have been compared with some existing theoretical results and experimental findings.
Keywords
1. M Charlton, G Clark, T C Griffith, and G K Heyland, J. Phys. B 16 (1983) L465.
2. L M Diana, P G Coleman, D L Brooks, P K Pendleton, and D M Norman, Phys. Rev. A 34 (1986) 2731.
3. D Fromme, G Kruse, W Raith, and G Sinapus, Phys Rev. Lett. 57 (1986) 3031.
4. L S Fornari, L M Diana, and P G Coleman, Phys. Rev. Lett. 51 (1983) 2276.
5. W Sperber, D Becke, K G Lynn, W Raith, and A Schweb, Phys. Rev. Lett. 68 (1992) 3690.
6. B C Saha and P K Ray, Phys. Rev. A 30 (1984) 2980.
7. J W Humberston, Phys, Adv. At. Mol. Phys. 22 (1986) 1.
8. T C Griffith, Physics Adv. At. Mol. Phys. 22 (1986) 37.
9. M Basu and A S Ghosh, J. Phys. B 21 (1988) 3439.
10. S N Nahar, Phys. Rev. A 40 (1989) 6231.
11. M J Roberts, J. Phys. B 22 (1989) 3315.
12. M A Bolorizadeh, M J Brunger, T Maddern, and E Ghanbare Adivi, J. Math. Phys 48 (2007) 033506.
13. F Shojaei, E Ghanbare Adivi, M J Brunger, and M A Bolorizadeh, J. Math. Phys 50 (2009) 013501.
14. E Gerjuoy and B K Thomas Rep. Prog phys. 37 (1974) 1395
15. C J Joachain, Comp. Phys. Commun. 6 (1970) 358.
16. C J Joachain and C. Quigg, Rev. Mod. Phys. 46 (1970) 279.
17. T Sekimura, Progress of Theoretical Physics, 64 (1980) 28-39.
18. F W Byron, Phys. Rev. A 4 (1971) 1907.
19. S Tripathi, C Sinha, and N C Sil, Phys. Rev. A 39 (1989) 2924.
20. C Sinha, S Tripathi, and N C Sill, Phys. Rev A 34 (1986) 1026.
21. R R Lewis. Phys. Rev. 102 (1956) 535.
22. M Z M Kamali, K Ratnavelu, Nuclear Instruments and Methods in Physics Research B 266 (2008) 388.
23. K Ratnaveluyx, J Mitroyz and A T Stelbovicsy, J. Phys. B: At. Mol. Opt. Phys. 29 (1996) 2775
2. L M Diana, P G Coleman, D L Brooks, P K Pendleton, and D M Norman, Phys. Rev. A 34 (1986) 2731.
3. D Fromme, G Kruse, W Raith, and G Sinapus, Phys Rev. Lett. 57 (1986) 3031.
4. L S Fornari, L M Diana, and P G Coleman, Phys. Rev. Lett. 51 (1983) 2276.
5. W Sperber, D Becke, K G Lynn, W Raith, and A Schweb, Phys. Rev. Lett. 68 (1992) 3690.
6. B C Saha and P K Ray, Phys. Rev. A 30 (1984) 2980.
7. J W Humberston, Phys, Adv. At. Mol. Phys. 22 (1986) 1.
8. T C Griffith, Physics Adv. At. Mol. Phys. 22 (1986) 37.
9. M Basu and A S Ghosh, J. Phys. B 21 (1988) 3439.
10. S N Nahar, Phys. Rev. A 40 (1989) 6231.
11. M J Roberts, J. Phys. B 22 (1989) 3315.
12. M A Bolorizadeh, M J Brunger, T Maddern, and E Ghanbare Adivi, J. Math. Phys 48 (2007) 033506.
13. F Shojaei, E Ghanbare Adivi, M J Brunger, and M A Bolorizadeh, J. Math. Phys 50 (2009) 013501.
14. E Gerjuoy and B K Thomas Rep. Prog phys. 37 (1974) 1395
15. C J Joachain, Comp. Phys. Commun. 6 (1970) 358.
16. C J Joachain and C. Quigg, Rev. Mod. Phys. 46 (1970) 279.
17. T Sekimura, Progress of Theoretical Physics, 64 (1980) 28-39.
18. F W Byron, Phys. Rev. A 4 (1971) 1907.
19. S Tripathi, C Sinha, and N C Sil, Phys. Rev. A 39 (1989) 2924.
20. C Sinha, S Tripathi, and N C Sill, Phys. Rev A 34 (1986) 1026.
21. R R Lewis. Phys. Rev. 102 (1956) 535.
22. M Z M Kamali, K Ratnavelu, Nuclear Instruments and Methods in Physics Research B 266 (2008) 388.
23. K Ratnaveluyx, J Mitroyz and A T Stelbovicsy, J. Phys. B: At. Mol. Opt. Phys. 29 (1996) 2775
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