Calculations of energy loss and multiple scattering (ELMS) in molecular hydrogen
To show that the principle of ionization cooling will work for muon beams we must be able to simulate energy loss and scattering in media reliably. We have three choices: we can use traditional calculations with their uncertainties; we can make measurements (MUSCAT) or, we can calculate the phenomen...
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| Format: | Journal article |
| Language: | English |
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2003
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| _version_ | 1797084325245616128 |
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| author | Allison, W |
| author_facet | Allison, W |
| author_sort | Allison, W |
| collection | OXFORD |
| description | To show that the principle of ionization cooling will work for muon beams we must be able to simulate energy loss and scattering in media reliably. We have three choices: we can use traditional calculations with their uncertainties; we can make measurements (MUSCAT) or, we can calculate the phenomena more carefully, looking afresh at the phenomena from first principles. In this paper we report on work following this third approach. We derive the double differential cross section for a collision with transverse momentum transfer P-t and longitudinal momentum transfer P-l from a knowledge of the UV and x-ray photoabsorption cross section of the medium, together with the known kinematics and dynamics of the scattering of point charges with screening. Distributions in energy loss and scattering may then be found by Monte Carlo techniques which take into account both correlations in scattering and energy loss, and the true effects of non-Gaussian tails in distributions of interest. Preliminary results are reported for molecular hydrogen. Further work is in progress. |
| first_indexed | 2024-03-07T01:53:55Z |
| format | Journal article |
| id | oxford-uuid:9b12701c-8299-4e97-96e6-9bb0dfda7ee3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:53:55Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:9b12701c-8299-4e97-96e6-9bb0dfda7ee32022-03-27T00:26:01ZCalculations of energy loss and multiple scattering (ELMS) in molecular hydrogenJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9b12701c-8299-4e97-96e6-9bb0dfda7ee3EnglishSymplectic Elements at Oxford2003Allison, WTo show that the principle of ionization cooling will work for muon beams we must be able to simulate energy loss and scattering in media reliably. We have three choices: we can use traditional calculations with their uncertainties; we can make measurements (MUSCAT) or, we can calculate the phenomena more carefully, looking afresh at the phenomena from first principles. In this paper we report on work following this third approach. We derive the double differential cross section for a collision with transverse momentum transfer P-t and longitudinal momentum transfer P-l from a knowledge of the UV and x-ray photoabsorption cross section of the medium, together with the known kinematics and dynamics of the scattering of point charges with screening. Distributions in energy loss and scattering may then be found by Monte Carlo techniques which take into account both correlations in scattering and energy loss, and the true effects of non-Gaussian tails in distributions of interest. Preliminary results are reported for molecular hydrogen. Further work is in progress. |
| spellingShingle | Allison, W Calculations of energy loss and multiple scattering (ELMS) in molecular hydrogen |
| title | Calculations of energy loss and multiple scattering (ELMS) in molecular hydrogen |
| title_full | Calculations of energy loss and multiple scattering (ELMS) in molecular hydrogen |
| title_fullStr | Calculations of energy loss and multiple scattering (ELMS) in molecular hydrogen |
| title_full_unstemmed | Calculations of energy loss and multiple scattering (ELMS) in molecular hydrogen |
| title_short | Calculations of energy loss and multiple scattering (ELMS) in molecular hydrogen |
| title_sort | calculations of energy loss and multiple scattering elms in molecular hydrogen |
| work_keys_str_mv | AT allisonw calculationsofenergylossandmultiplescatteringelmsinmolecularhydrogen |