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

Gamberg, Leonard; Schlegel, Marc

doi:10.1016/j.physletb.2009.12.067

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 contributions by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Lastly, 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.

Authors:

Gamberg, Leonard ^[1]; Schlegel, Marc ^[2]

Penn State Berks, Reading, PA; Inst. for Nuclear Theory, Seattle, WA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Mon Jan 18 00:00:00 EST 2010

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 983103

Report Number(s):: JLAB-THY-09-1104; DOE/OR/23177-1053; ARXIV:0911.1964
Journal ID: ISSN 0370-2693; PYLBAJ; TRN: US1004434

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Physics Letters. B

Additional Journal Information:: Journal Volume: 685; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; COLOR; DEGREES OF FREEDOM; FACTORIZATION; FINAL-STATE INTERACTIONS; GLUONS; IMPACT PARAMETER; PIONS; SPATIAL DISTRIBUTION; TARGETS; transverse momentum parton distributions; final state interactions

Citation Formats


                    Gamberg, Leonard, and Schlegel, Marc. Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods.  United States: N. p., 2010. 
Web.  doi:10.1016/j.physletb.2009.12.067.

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                    Gamberg, Leonard, & Schlegel, Marc. Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods.  United States.  https://doi.org/10.1016/j.physletb.2009.12.067

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                    Gamberg, Leonard, and Schlegel, Marc. Mon .  
"Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods".  United States.  https://doi.org/10.1016/j.physletb.2009.12.067.  https://www.osti.gov/servlets/purl/983103.

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@article{osti_983103,

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

  author       = {Gamberg, Leonard and Schlegel, Marc},

  abstractNote = {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 contributions by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Lastly, 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.},

  doi          = {10.1016/j.physletb.2009.12.067},

  journal      = {Physics Letters. B},

  number       = ,

  volume       = 685,

  place        = {United States},

  year         = {Mon Jan 18 00:00:00 EST 2010},

  month        = {Mon Jan 18 00:00:00 EST 2010}

}

Copy to clipboard

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DOI: 10.1140/epja/i2008-10697-y

Transversity and Meson Photoproduction
preprint, January 2002

Goldstein, Gary R.; Gamberg, Leonard
arXiv
DOI: 10.48550/arxiv.hep-ph/0209085

Transverse-momentum dependent parton distributions in large-Nc QCD
preprint, January 2003

Pobylitsa, P. V.
arXiv
DOI: 10.48550/arxiv.hep-ph/0301236

Works referencing / citing this record:

Revisiting model relations between $T$ -odd transverse-momentum-dependent parton distributions and generalized parton distributions
journal, September 2019

Pasquini, Barbara; Rodini, Simone; Bacchetta, Alessandro
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DOI: 10.1103/physrevd.100.054039

Predicting the light-front holographic TMDs of the pion
journal, September 2019

Ahmady, Mohammad; Mondal, Chandan; Sandapen, Ruben
Physical Review D, Vol. 100, Issue 5
DOI: 10.1103/physrevd.100.054005

ON THE ROLE OF THE RUNNING COUPLING CONSTANT IN A QUARK MODEL ANALYSIS OF T-ODD TMDs
journal, January 2011

Courtoy, A.
International Journal of Modern Physics: Conference Series, Vol. 04
DOI: 10.1142/s2010194511001711

Pion transverse momentum dependent parton distributions in a light-front constituent approach, and the Boer-Mulders effect in the pion-induced Drell-Yan process
journal, July 2014

Pasquini, B.; Schweitzer, P.
Physical Review D, Vol. 90, Issue 1
DOI: 10.1103/physrevd.90.014050

Spin physics through unpolarized processes
journal, January 2016

Lu, Zhun
Frontiers of Physics, Vol. 11, Issue 1
DOI: 10.1007/s11467-015-0525-6

Boer-Mulders function of the pion in the MIT bag model
journal, November 2012

Lu, Zhun; Ma, Bo-Qiang; Zhu, Jiacai
Physical Review D, Vol. 86, Issue 9
DOI: 10.1103/physrevd.86.094023

Constraining Quark Angular Momentum through Semi-Inclusive Measurements
journal, November 2011

Bacchetta, Alessandro; Radici, Marco
Physical Review Letters, Vol. 107, Issue 21
DOI: 10.1103/physrevlett.107.212001

Pion nucleus Drell–Yan process and parton transverse momentum in the pion
journal, August 2018

Ceccopieri, Federico Alberto; Courtoy, Aurore; Noguera, Santiago
The European Physical Journal C, Vol. 78, Issue 8
DOI: 10.1140/epjc/s10052-018-6115-3

Boer-Mulders function of the pion and the $q_{T}$ -weighted $\cos 2 φ$ asymmetry in the unpolarized $π^{-} p$ Drell-Yan process at COMPASS
journal, May 2017

Wang, Zhengxian; Wang, Xiaoyu; Lu, Zhun
Physical Review D, Vol. 95, Issue 9
DOI: 10.1103/physrevd.95.094004

Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model
journal, November 2015

Noguera, Santiago; Scopetta, Sergio
Journal of High Energy Physics, Vol. 2015, Issue 11
DOI: 10.1007/jhep11(2015)102

Sivers and Boer-Mulders functions in Light-Cone Quark Models
text, January 2010

Pasquini, B.; Yuan, F.
arXiv
DOI: 10.48550/arxiv.1001.5398

Boer-Mulders function of the pion in the MIT bag model
text, January 2012

Lu, Zhun; Ma, Bo-Qiang; Zhu, Jiacai
arXiv
DOI: 10.48550/arxiv.1211.1745

Pion nucleus Drell-Yan process and parton transverse momentum in the pion
text, January 2018

Ceccopieri, Federico Alberto; Courtoy, Aurore; Noguera, Santiago
arXiv
DOI: 10.48550/arxiv.1801.07682

Predicting the light-front holographic TMDs of the pion
text, January 2019

Ahmady, Mohammad; Mondal, Chandan; Sandapen, Ruben
arXiv
DOI: 10.48550/arxiv.1907.06561

Revisiting model relations between T-odd transverse-momentum dependent parton distributions and generalized parton distributions
text, January 2019

Pasquini, B.; Rodini, S.; Bacchetta, A.
arXiv
DOI: 10.48550/arxiv.1907.06960

Spin physics through unpolarized processes
journal, January 2016

Lu, Zhun
Frontiers of Physics, Vol. 11, Issue 1
DOI: 10.1007/s11467-015-0525-6

A fixed-target programme at the LHC: Physics case and projected performances for heavy-ion, hadron, spin and astroparticle studies
journal, May 2021

Hadjidakis, C.; Kikoła, D.; Lansberg, J. P.
Physics Reports, Vol. 911
DOI: 10.1016/j.physrep.2021.01.002

Pion nucleus Drell–Yan process and parton transverse momentum in the pion
journal, August 2018

Ceccopieri, Federico Alberto; Courtoy, Aurore; Noguera, Santiago
The European Physical Journal C, Vol. 78, Issue 8
DOI: 10.1140/epjc/s10052-018-6115-3

The gluon Sivers distribution: status and future prospects
preprint, January 2015

Boer, Daniël; Lorcé, Cédric; Pisano, Cristian
arXiv
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Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model
text, January 2015

Noguera, Santiago; Scopetta, Sergio
arXiv
DOI: 10.48550/arxiv.1508.01061

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

Abstract

Citation Formats

Λ 0 Hyperon Polarization in Inclusive Production by 300-GeV Protons on Beryllium journal, May 1976

Asymmetries in inclusive proton-nucleon scattering at 11.75 GeV/ c journal, December 1978

Spin dependence of the inclusive reaction p + p (polarized) → π0 + X at 24 GeV/c for high-pT π0 produced in the central region journal, August 1980

Analyzing power in inclusive π+ and π− production at high xF with a 200 GeV polarized proton beam journal, August 1991

Transverse Spin Structure of the Nucleon from COMPASS journal, January 2009

Evidence for a Single-Spin Azimuthal Asymmetry in Semi-inclusive Pion Electroproduction journal, May 2000

Single-Spin Asymmetries in Semi-Inclusive Deep-Inelastic Scattering on a Transversely Polarized Hydrogen Target journal, January 2005

Measurement of beam-spin asymmetries for π+ electroproduction above the baryon resonance region journal, June 2004

New results on SIDIS SSA from Jefferson Lab conference, January 2005

Cross Sections and Transverse Single-Spin Asymmetries in Forward Neutral-Pion Production from Proton Collisions at s = 200 GeV journal, April 2004

Measurement of Transverse Single-Spin Asymmetries for Midrapidity Production of Neutral Pions and Charged Hadrons in Polarized p + p Collisions at s = 200 GeV journal, November 2005

Single-Transverse-Spin Asymmetries of Identified Charged Hadrons in Polarized p p Collisions at s = 62.4 GeV journal, July 2008

Transverse Quark Polarization in Large- p T Reactions, e + e − Jets, and Leptoproduction: A Test of Quantum Chromodynamics journal, December 1978

QCD asymmetry and polarized hadron structure function measurement journal, January 1985

Single transverse spin asymmetries journal, October 1991

Single transverse spin asymmetries in direct photon production journal, July 1992

Production of dimuons from high-energy polarized proton-proton collisions journal, May 1979

Chiral-odd parton distributions and polarized Drell-Yan process journal, July 1991

Fragmentation of transversely polarized quarks probed in transverse momentum distributions journal, May 1993

Single-spin production asymmetries from the hard scattering of pointlike constituents journal, January 1990

The complete tree-level result up to order 1/Q for polarized deep-inelastic leptoproduction journal, February 1996

Time-reversal odd distribution functions in leptoproduction journal, May 1998

Universality of T-odd effects in single spin and azimuthal asymmetries journal, September 2003

Unified Picture for Single Transverse-Spin Asymmetries in Hard-Scattering Processes journal, August 2006

Single transverse-spin asymmetry in semi-inclusive deep inelastic scattering journal, July 2006

Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum journal, August 2008

QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum journal, February 2005

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering journal, March 2002

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering journal, May 2002

Final state interactions and gauge invariant parton distributions journal, April 2003

Parton distributions in light-cone gauge: where are the final-state interactions? journal, September 2002

Initial-state interactions in the unpolarized Drell-Yan process journal, March 2003

Novel transversity properties in semi-inclusive deep inelastic scattering journal, April 2003

A mechanism for the T -odd pion fragmentation function journal, September 2003

Sivers function in a spectator model with axial-vector diquarks journal, January 2004

Nonzero transversity distribution of the pion in a quark-spectator-antiquark model journal, November 2004

Transverse quark spin effects and the flavor dependence of the Boer-Mulders function journal, May 2008

Transverse-momentum distributions in a diquark spectator model journal, October 2008

Impact Parameter Space Interpretation for Generalized Parton Distributions journal, January 2003

Relations between generalized and transverse momentum dependent parton distributions journal, August 2007

Quark imaging in the proton via quantum phase-space distributions journal, April 2004

Generalized parton correlation functions for a spin-0 hadron journal, August 2008

Spin Structure of the Pion journal, September 2008

Are all Boer–Mulders functions alike? journal, January 2008

Angular distributions of muon pairs produced by 194 GeV/c negative pions journal, December 1986

Angular distributions of muon pairs produced by negative pions on deuterium and tungsten journal, December 1988

Experimental study of muon pairs produced by 252-GeV pions on tungsten journal, January 1989

Factorization Of Hard Processes In QCD book, July 1989

Semi-inclusive deep inelastic scattering at small transverse momentum journal, February 2007

QCD factorization for spin-dependent cross sections in DIS and Drell–Yan processes at low transverse momentum journal, September 2004

Universality of Soft and Collinear Factors in Hard-Scattering Factorization journal, December 2004

Investigating the origins of transverse spin asymmetries at BNL RHIC journal, June 1999

Dilepton production from polarized hadron hadron collisions journal, February 2009

Chromodynamic lensing and transverse single spin asymmetries journal, April 2004

Generalized parton distributions journal, December 2003

Hard exclusive reactions and the structure of hadrons journal, January 2001

Unraveling hadron structure with generalized parton distributions journal, October 2005

Transverse deformation of parton distributions and transversity decomposition of angular momentum journal, November 2005

Spin densities in the transverse plane and generalized transversity distributions journal, September 2005

Connection between the Sivers function and the anomalous magnetic moment journal, April 2007

Generalized parton correlation functions for a spin-1/2 hadron journal, August 2009

Relativistic Eikonal Expansion journal, July 1969

The quasi–abelian limit journal, April 2000

Polarized and unpolarized structure functions in a diquark model for the nucleon journal, June 1991

Modelling quark distribution and fragmentation functions journal, December 1997

Note on the Radiation Field of the Electron journal, July 1937

Checking the Burkardt sum rule for the Sivers function by model calculations journal, June 2006

Light-cone divergence in twist-3 correlation functions journal, August 2006

Non-Abelian eikonals journal, February 1997

Initial-state interactions and single-spin asymmetries in Drell–Yan processes journal, October 2002

Nonperturbative propagators, running coupling, and the dynamical quark mass of Landau gauge QCD journal, May 2003

Analytic properties of the Landau gauge gluon and quark propagators journal, July 2004

QCD Green functions and their application to hadron physics journal, January 2007

Infrared exponents and running coupling of SU(N) Yang–Mills theories journal, May 2002

The quark–gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement journal, January 2009

Pionic parton distributions journal, December 1992

Azimuthal asymmetry in unpolarized πN Drell–Yan process journal, June 2005

$Λ^{0}$ Hyperon Polarization in Inclusive Production by 300-GeV Protons on Beryllium
journal, May 1976

Asymmetries in inclusive proton-nucleon scattering at 11.75 GeV/ c
journal, December 1978

Spin dependence of the inclusive reaction p + p (polarized) → π0 + X at 24 GeV/c for high-pT π0 produced in the central region
journal, August 1980

Analyzing power in inclusive π+ and π− production at high xF with a 200 GeV polarized proton beam
journal, August 1991

Transverse Spin Structure of the Nucleon from COMPASS
journal, January 2009

Evidence for a Single-Spin Azimuthal Asymmetry in Semi-inclusive Pion Electroproduction
journal, May 2000

Single-Spin Asymmetries in Semi-Inclusive Deep-Inelastic Scattering on a Transversely Polarized Hydrogen Target
journal, January 2005

Measurement of beam-spin asymmetries for π+ electroproduction above the baryon resonance region
journal, June 2004

New results on SIDIS SSA from Jefferson Lab
conference, January 2005

Cross Sections and Transverse Single-Spin Asymmetries in Forward Neutral-Pion Production from Proton Collisions at $\sqrt{s} = 200 GeV$
journal, April 2004

Measurement of Transverse Single-Spin Asymmetries for Midrapidity Production of Neutral Pions and Charged Hadrons in Polarized $p + p$ Collisions at $\sqrt{s} = 200 GeV$
journal, November 2005

Single-Transverse-Spin Asymmetries of Identified Charged Hadrons in Polarized $p p$ Collisions at $\sqrt{s} = 62.4 GeV$
journal, July 2008

Transverse Quark Polarization in Large- $p_{T}$ Reactions, $e^{+} e^{-}$ Jets, and Leptoproduction: A Test of Quantum Chromodynamics
journal, December 1978

QCD asymmetry and polarized hadron structure function measurement
journal, January 1985

Single transverse spin asymmetries
journal, October 1991

Single transverse spin asymmetries in direct photon production
journal, July 1992

Production of dimuons from high-energy polarized proton-proton collisions
journal, May 1979

Chiral-odd parton distributions and polarized Drell-Yan process
journal, July 1991

Fragmentation of transversely polarized quarks probed in transverse momentum distributions
journal, May 1993

Single-spin production asymmetries from the hard scattering of pointlike constituents
journal, January 1990

The complete tree-level result up to order 1/Q for polarized deep-inelastic leptoproduction
journal, February 1996

Time-reversal odd distribution functions in leptoproduction
journal, May 1998

Universality of T-odd effects in single spin and azimuthal asymmetries
journal, September 2003

Unified Picture for Single Transverse-Spin Asymmetries in Hard-Scattering Processes
journal, August 2006

Single transverse-spin asymmetry in semi-inclusive deep inelastic scattering
journal, July 2006

Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
journal, August 2008

QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
journal, February 2005

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering
journal, March 2002

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering
journal, May 2002

Final state interactions and gauge invariant parton distributions
journal, April 2003

Parton distributions in light-cone gauge: where are the final-state interactions?
journal, September 2002

Initial-state interactions in the unpolarized Drell-Yan process
journal, March 2003

Novel transversity properties in semi-inclusive deep inelastic scattering
journal, April 2003

A mechanism for the T -odd pion fragmentation function
journal, September 2003

Sivers function in a spectator model with axial-vector diquarks
journal, January 2004

Nonzero transversity distribution of the pion in a quark-spectator-antiquark model
journal, November 2004

Transverse quark spin effects and the flavor dependence of the Boer-Mulders function
journal, May 2008

Transverse-momentum distributions in a diquark spectator model
journal, October 2008

Impact Parameter Space Interpretation for Generalized Parton Distributions
journal, January 2003

Relations between generalized and transverse momentum dependent parton distributions
journal, August 2007

Quark imaging in the proton via quantum phase-space distributions
journal, April 2004

Generalized parton correlation functions for a spin-0 hadron
journal, August 2008

Spin Structure of the Pion
journal, September 2008

Are all Boer–Mulders functions alike?
journal, January 2008

Angular distributions of muon pairs produced by 194 GeV/c negative pions
journal, December 1986

Angular distributions of muon pairs produced by negative pions on deuterium and tungsten
journal, December 1988

Experimental study of muon pairs produced by 252-GeV pions on tungsten
journal, January 1989

Factorization Of Hard Processes In QCD
book, July 1989

Semi-inclusive deep inelastic scattering at small transverse momentum
journal, February 2007

QCD factorization for spin-dependent cross sections in DIS and Drell–Yan processes at low transverse momentum
journal, September 2004

Universality of Soft and Collinear Factors in Hard-Scattering Factorization
journal, December 2004

Investigating the origins of transverse spin asymmetries at BNL RHIC
journal, June 1999

Dilepton production from polarized hadron hadron collisions
journal, February 2009

Chromodynamic lensing and transverse single spin asymmetries
journal, April 2004

Generalized parton distributions
journal, December 2003

Hard exclusive reactions and the structure of hadrons
journal, January 2001

Unraveling hadron structure with generalized parton distributions
journal, October 2005

Transverse deformation of parton distributions and transversity decomposition of angular momentum
journal, November 2005

Spin densities in the transverse plane and generalized transversity distributions
journal, September 2005

Connection between the Sivers function and the anomalous magnetic moment
journal, April 2007

Generalized parton correlation functions for a spin-1/2 hadron
journal, August 2009

Relativistic Eikonal Expansion
journal, July 1969

The quasi–abelian limit
journal, April 2000

Polarized and unpolarized structure functions in a diquark model for the nucleon
journal, June 1991

Modelling quark distribution and fragmentation functions
journal, December 1997

Note on the Radiation Field of the Electron
journal, July 1937

Checking the Burkardt sum rule for the Sivers function by model calculations
journal, June 2006

Light-cone divergence in twist-3 correlation functions
journal, August 2006

Non-Abelian eikonals
journal, February 1997

Initial-state interactions and single-spin asymmetries in Drell–Yan processes
journal, October 2002

Nonperturbative propagators, running coupling, and the dynamical quark mass of Landau gauge QCD
journal, May 2003

Analytic properties of the Landau gauge gluon and quark propagators
journal, July 2004

QCD Green functions and their application to hadron physics
journal, January 2007

Infrared exponents and running coupling of SU(N) Yang–Mills theories
journal, May 2002

The quark–gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
journal, January 2009

Pionic parton distributions
journal, December 1992

Azimuthal asymmetry in unpolarized πN Drell–Yan process
journal, June 2005

“T-odd effects” in unpolarized Drell–Yan scattering
journal, July 2007

Systematic phenomenological study of the $\cos 2 ϕ$ asymmetry in unpolarized semi-inclusive DIS
journal, August 2008

Sivers effect for pion and kaon production in semi-inclusive deep inelastic scattering
journal, December 2008