Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods

Leonard Gamberg; Marc Schlegel

doi:10.1016/j.physletb.2009.12.067

Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods

Leonard Gamberg
, Marc Schlegel

Division of Science (Berks)

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

In the factorized picture of semi-inclusive hadronic processes the naive time-reversal odd parton distributions exist by virtue of the gauge link which renders it color gauge invariant. The link characterizes the dynamical effect of initial/final-state interactions of the active parton due soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, studies of final-state interaction have been approximated by perturbative one-gluon approximation in Abelian models. We include higher-order gluonic contributions from the gauge link by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Using this framework we explore under what conditions the Boer-Mulders function can be described in terms of factorization of final state interactions and a spatial distribution in impact parameter space.

Original language	English (US)
Pages (from-to)	95-103
Number of pages	9
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	685
Issue number	1
DOIs	https://doi.org/10.1016/j.physletb.2009.12.067
State	Published - Feb 22 2010

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.physletb.2009.12.067

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title = "Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods",

abstract = "In the factorized picture of semi-inclusive hadronic processes the naive time-reversal odd parton distributions exist by virtue of the gauge link which renders it color gauge invariant. The link characterizes the dynamical effect of initial/final-state interactions of the active parton due soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, studies of final-state interaction have been approximated by perturbative one-gluon approximation in Abelian models. We include higher-order gluonic contributions from the gauge link by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Using this framework we explore under what conditions the Boer-Mulders function can be described in terms of factorization of final state interactions and a spatial distribution in impact parameter space.",

author = "Leonard Gamberg and Marc Schlegel",

note = "Funding Information: We thank D. Boer, S. Brodsky, M. Burkardt, H. Fried, G. Goldstein, S. Liuti, A. Metz, P.J. Mulders, J.-W. Qiu, O. Teryaev, and H. Weigel for useful discussions. L.G. is grateful for support from G. Miller and the Institute For Nuclear Theory, University of Washington where part of this work was undertaken. L.G. acknowledges support from U.S. Department of Energy under contract DE-FG02-07ER41460 . Authored by Jefferson Science Associates, LLC under U.S. DOE contract No. DE-AC05-06OR23177 . The U.S. Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce this manuscript for U.S. Government purposes. ",

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N2 - In the factorized picture of semi-inclusive hadronic processes the naive time-reversal odd parton distributions exist by virtue of the gauge link which renders it color gauge invariant. The link characterizes the dynamical effect of initial/final-state interactions of the active parton due soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, studies of final-state interaction have been approximated by perturbative one-gluon approximation in Abelian models. We include higher-order gluonic contributions from the gauge link by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Using this framework we explore under what conditions the Boer-Mulders function can be described in terms of factorization of final state interactions and a spatial distribution in impact parameter space.

AB - In the factorized picture of semi-inclusive hadronic processes the naive time-reversal odd parton distributions exist by virtue of the gauge link which renders it color gauge invariant. The link characterizes the dynamical effect of initial/final-state interactions of the active parton due soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, studies of final-state interaction have been approximated by perturbative one-gluon approximation in Abelian models. We include higher-order gluonic contributions from the gauge link by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Using this framework we explore under what conditions the Boer-Mulders function can be described in terms of factorization of final state interactions and a spatial distribution in impact parameter space.

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Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods

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