Comparison of integral-equation approximations for e/sup + -/-H scattering at intermediate energies

Journal Article · Fri Nov 01 04:00:00 EST 1985 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.32.2689· OSTI ID:5073343

Khare, S P; Prakash, S

It has been shown that the approximate solutions of the Fredholm integral equation for the scattering amplitude obtained by demanding that f/sub out/ = f/sub in/ = lambda/sub p,n/f/sub Bn/ on the mass shell in the integral equation (where f/sub B/n is the scattering amplitude in the nth Born approximation, n and p are nonzero positive integers, and lambda/sub p/,n is a scattering-angle- and energy-dependent complex multiplying factor) are identical to those obtained from the Schwinger variational principle with incoming and outgoing trial wave functions which are correct to (p-1)th and (n-1)th order in the interaction potential in a Born approximation. Further, the scattering amplitude obtained from the Schwinger variational principle, with outgoing and incoming scattering waves correct up to first order in the interaction potential in the Born approximation, has been employed to calculate total collisional cross sections for e/sup + -/-H scattering in the 20--500-eV energy range. The results are in good agreement with the adopted cross section of de Heer et al. and those obtained in the modified Glauber approximation and the (2,2) Pade approximant for E> or =30 eV.

• Research Organization: Physics Department, Institute of Advanced Studies, Meerut University, Meerut 250005, Uttar Pradesh, India
• OSTI ID: 5073343
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 32:5; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
ATOM COLLISIONS
COLLISIONS
COMPARATIVE EVALUATIONS
CROSS SECTIONS
ELASTIC SCATTERING
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ELEMENTS
EQUATIONS
FREDHOLM EQUATION
HYDROGEN
INTEGRAL EQUATIONS
NONMETALS
POSITRON COLLISIONS
POSITRON-ATOM COLLISIONS
SCATTERING
SCATTERING AMPLITUDES
SCHWINGER VARIATIONAL METHOD
TOTAL CROSS SECTIONS
VARIATIONAL METHODS