On the elastic Schwarzschild scattering cross section

Collins, P.; Delbourgo, R.; Williams, Ruth M.

doi:10.1088/0305-4470/6/2/007

Cited by 276 publications

(468 citation statements)

References 4 publications

Supporting

Mentioning

456

Contrasting

Order By: Relevance

“…The formula also makes it clear that the low velocity limit recovers the Rutherford formula. The higher order relativistic corrections are not obvious, but do agree with the small angle formulae obtained by Collins et al [2], who found that as θ → 0 the classical cross section is given by…”

Section: Discussionsupporting

confidence: 89%

“…The formula neatly embodies the equivalence principle, in that the cross-section depends only on the particle's velocity, and not its mass. In the low-angle limit our formula agrees with earlier results for the classical cross-section based on the geodesic equation [2].…”

Section: Introductionsupporting

confidence: 90%

“…The second calculation also highlights the conceptual difficultly of carrying through a full programme based on perturbation theory, as choice of gauge at the start of the calculation can dictate features as important as the order of Feynman diagrams one needs to consider. This appears to be the correct explanation for the failure of the Collins et al [2] calculation. Their scheme was based on the Schwarzschild gauge, and they only went to first order in perturbation theory.…”

Section: Introductionmentioning

confidence: 70%

See 2 more Smart Citations

Perturbation theory calculation of the black hole elastic scattering cross section

Doran¹,

Lasenby²

2002

Phys. Rev. D

View full text Add to dashboard Cite

The differential cross section for scattering of a Dirac particle in a black hole background is found. The result is the gravitational analog of the Mott formula for scattering in a Coulomb background. The equivalence principle is neatly embodied in the cross section, which depends only on the incident velocity, and not the particle mass. The low angle limit agrees with classical calculations based on the geodesic equation. The calculation employs a well-defined iterative scheme which can be extended to higher orders. Repeating the calculation in different gauges shows that our result for the cross section is gauge-invariant and highlights the issues involved in setting up a sensible iterative scheme.

show abstract

Section: Discussionsupporting

confidence: 89%

Section: Introductionsupporting

confidence: 90%

Section: Introductionmentioning

confidence: 70%

See 1 more Smart Citation

Perturbation theory calculation of the black hole elastic scattering cross section

Doran¹,

Lasenby²

2002

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…To show this, we are going to use the timelike geodesic equations that describe the motion of a particle in a Schwarzschild metric. The trajectory for nonrelativistic particles (such as the WIMPs) is given by [17] du d…”

Section: Wimp's Accretion Rate Onto the Neutron Starmentioning

confidence: 99%

WIMP annihilation and cooling of neutron stars

2008

View full text Add to dashboard Cite

show abstract

“…The geodesic analysis is an important approximation because at very high frequencies the wave propagates along null geodesics. 12 The semiclassical approach captures the wave interferences, although it fails to describe the differential scattering cross section for low angles. 13 Finally, the planar wave analysis describes the full phenomenology, with the drawback of having to solve the full wave equation (usually numerically).…”

Section: Wave Analysis and Approximationsmentioning

confidence: 99%