Elastic differential cross section and critical point for positron-hydrogen collisions

Journal Article · Sat Oct 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.042710· OSTI ID:20718746

Ghoshal, Arijit ^[1]; Mandal, Puspajit ^[2]

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1. Department of Mathematics, Suri Vidyasagar College Suri 731 101 West Bengal (India)
2. Department of Mathematics, Visva-Bharati University Santiniketan 731 235 West Bengal (India)

A detailed study is made of the elastic differential cross section in positron-hydrogen collisions using the accurate Schwinger variational results for partial waves up to l=19 of the preceding paper [Ghoshal and Mandal, Phys. Rev. A, 72, 042709 (2005)]. Dramatic behavior of the differential cross section is evident in the surface plots, suggesting interference of partial-wave contributions at small and large scattering angles for the appearance of rich structure. It is found that the behavior of the critical point basically characterizes the nature of the differential cross section. Further interferences of the scattered waves for different angular momentum states produced by the interaction between the incoming positron and the target hydrogen atom determine such behavior and consequently build up the nature of the differential cross section. These findings reveal the remarkable fact that positron-hydrogen scattering almost does not occur in the direction around 87.3 deg. at an incident energy of about 3.4 eV, corresponding to incident positron momentum of 0.5 atomic units.

• OSTI ID: 20718746
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
ATOMS
EV RANGE
HYDROGEN
INTERFERENCE
PARTIAL WAVES
POSITRON-ATOM COLLISIONS
POSITRONS
SCATTERING
SCHWINGER VARIATIONAL METHOD