Scattering with total depletion in strong, focussed fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918059711660032 |
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| author | Adamo, Tim Ilderton, Anton |
| author_facet | Adamo, Tim Ilderton, Anton |
| contents | Theoretical approaches to QED scattering in strong fields typically treat the field as a fixed background with simple spacetime dependence, such as a plane wave. Two major challenges are therefore the inclusion of backreaction (e.g. depletion of the field) and spatial geometry (e.g. focussing). We show here that a solution to one problem can solve the other: even if particle wavefunctions in a chosen focussed background are not known, we show they can be constructed once depletion is accounted for. We demonstrate this by giving the exact wavefunctions in a flying focus beam for which all energy is absorbed by particles scattering on it. In addition we use the wavefunctions to obtain a simple expression for the nonlinear Compton scattering amplitude, comparing with the plane wave case. Our methods thus open a new avenue of investigation in which two previously challenging effects are simultaneously brought under analytic control. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scattering with total depletion in strong, focussed fields Adamo, Tim Ilderton, Anton High Energy Physics - Phenomenology High Energy Physics - Theory Theoretical approaches to QED scattering in strong fields typically treat the field as a fixed background with simple spacetime dependence, such as a plane wave. Two major challenges are therefore the inclusion of backreaction (e.g. depletion of the field) and spatial geometry (e.g. focussing). We show here that a solution to one problem can solve the other: even if particle wavefunctions in a chosen focussed background are not known, we show they can be constructed once depletion is accounted for. We demonstrate this by giving the exact wavefunctions in a flying focus beam for which all energy is absorbed by particles scattering on it. In addition we use the wavefunctions to obtain a simple expression for the nonlinear Compton scattering amplitude, comparing with the plane wave case. Our methods thus open a new avenue of investigation in which two previously challenging effects are simultaneously brought under analytic control. |
| title | Scattering with total depletion in strong, focussed fields |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.06109 |