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Title: Light-front representation of chiral dynamics in peripheral transverse densities

Abstract

The nucleon's electromagnetic form factors are expressed in terms of the transverse densities of charge and magnetization at fixed light-front time. At peripheral transverse distances b = O(M_pi^{-1}) the densities are governed by chiral dynamics and can be calculated model-independently using chiral effective field theory (EFT). We represent the leading-order chiral EFT results for the peripheral transverse densities as overlap integrals of chiral light-front wave functions, describing the transition of the initial nucleon to soft pion-nucleon intermediate states and back. The new representation (a) explains the parametric order of the peripheral transverse densities; (b) establishes an inequality between the spin-independent and -dependent densities; (c) exposes the role of pion orbital angular momentum in chiral dynamics; (d) reveals a large left-right asymmetry of the current in a transversely polarized nucleon and suggests a simple interpretation. The light-front representation enables a first-quantized, quantum-mechanical view of chiral dynamics that is fully relativistic and exactly equivalent to the second-quantized, field-theoretical formulation. It relates the charge and magnetization densities measured in low-energy elastic scattering to the generalized parton distributions probed in peripheral high-energy scattering processes. The method can be applied to nucleon form factors of other operators, e.g. the energy-momentum tensor.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Uppsala Univ., Uppsala (Sweden)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
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:
1209229
Report Number(s):
JLAB-THY-15-2018; DOE/OR/23177-3316; arXiv:1503.04839
Journal ID: ISSN 1029-8479; PII: 1790; TRN: US1500605
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; elastic form factors; chiral effective field theory; transverse charge and magnetization densities; light-front quantization; generalized parton distributions

Citation Formats

Granados, Carlos G., and Weiss, Christian. Light-front representation of chiral dynamics in peripheral transverse densities. United States: N. p., 2015. Web. doi:10.1007/JHEP07(2015)170.
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Granados, Carlos G., & Weiss, Christian. Light-front representation of chiral dynamics in peripheral transverse densities. United States. https://doi.org/10.1007/JHEP07(2015)170
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Granados, Carlos G., and Weiss, Christian. Fri . "Light-front representation of chiral dynamics in peripheral transverse densities". United States. https://doi.org/10.1007/JHEP07(2015)170. https://www.osti.gov/servlets/purl/1209229.
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@article{osti_1209229,
title = {Light-front representation of chiral dynamics in peripheral transverse densities},
author = {Granados, Carlos G. and Weiss, Christian},
abstractNote = {The nucleon's electromagnetic form factors are expressed in terms of the transverse densities of charge and magnetization at fixed light-front time. At peripheral transverse distances b = O(M_pi^{-1}) the densities are governed by chiral dynamics and can be calculated model-independently using chiral effective field theory (EFT). We represent the leading-order chiral EFT results for the peripheral transverse densities as overlap integrals of chiral light-front wave functions, describing the transition of the initial nucleon to soft pion-nucleon intermediate states and back. The new representation (a) explains the parametric order of the peripheral transverse densities; (b) establishes an inequality between the spin-independent and -dependent densities; (c) exposes the role of pion orbital angular momentum in chiral dynamics; (d) reveals a large left-right asymmetry of the current in a transversely polarized nucleon and suggests a simple interpretation. The light-front representation enables a first-quantized, quantum-mechanical view of chiral dynamics that is fully relativistic and exactly equivalent to the second-quantized, field-theoretical formulation. It relates the charge and magnetization densities measured in low-energy elastic scattering to the generalized parton distributions probed in peripheral high-energy scattering processes. The method can be applied to nucleon form factors of other operators, e.g. the energy-momentum tensor.},
doi = {10.1007/JHEP07(2015)170},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2015,
place = {United States},
year = {Fri Jul 31 00:00:00 EDT 2015},
month = {Fri Jul 31 00:00:00 EDT 2015}
}
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Publisher's Version of Record
https://doi.org/10.1007/JHEP07(2015)170
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