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dc.contributor.authorBourrely, Claude
dc.contributor.authorMyers, John M.
dc.contributor.authorSoffer, Jacques
dc.contributor.authorWu, Tai Tsun
dc.date.accessioned2019-10-17T07:11:41Z
dc.date.issued2012
dc.identifier.citationBourrely, Claude, John M. Myers, Jacques Soffer, and Tai Tsun Wu. 2012. “High-Energy Asymptotic Behavior of the Bourrely-Soffer-Wu Model for Elastic Scattering.” Physical Review D 85 (9). https://doi.org/10.1103/physrevd.85.096009.
dc.identifier.issn1550-2368
dc.identifier.issn1550-7998
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41555831*
dc.description.abstractSome time ago, an accurate phenomenological approach, the BSW model, was developed for proton-proton and antiproton-proton elastic scattering cross sections at center-of-mass energies above 10 GeV. This model has been used to give successful theoretical predictions for these processes, at successive collider energies. The BSW model involves a combination of integrals that, while computable numerically at fairly high energies, require some mathematical analysis to reveal the high-energy asymptotic behavior. In this paper we present a high-energy asymptotic representation of the scattering amplitude at moderate momentum transfer, for the leading order in an expansion parameter closely related to the logarithm of the center-of-mass energy. The fact that the expansion parameter goes as the logarithm of the energy means that the asymptotic behavior is accurate only for energies greatly beyond any foreseeable experiment. However, we compare the asymptotic representation against the numerically calculated model for energies in a less extreme region of energy. The asymptotic representation is given by a simple formula which, in particular, exhibits the oscillations of the differential cross section with momentum transfer. We also compare the BSW asymptotic behavior with the Singh-Roy unitarity upper bound for the diffraction peak.
dc.language.isoen_US
dc.publisherAmerican Physical Society
dash.licenseOAP
dc.titleHigh-energy asymptotic behavior of the Bourrely-Soffer-Wu model for elastic scattering
dc.typeJournal Article
dc.description.versionAccepted Manuscript
dc.relation.journalPhysical Review D - Particles, Fields, Gravitation, and Cosmology
dash.depositing.authorWu, Tai Tsun::56be14212f16cdfd5841d4b17baecdd1::600
dc.date.available2019-10-17T07:11:41Z
dash.workflow.comments1Science Serial ID 77272
dc.identifier.doi10.1103/PhysRevD.85.096009
dash.source.volume85;9


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