Lightfront representation of chiral dynamics in peripheral transverse densities
The nucleon's electromagnetic form factors are expressed in terms of the transverse densities of charge and magnetization at fixed lightfront time. At peripheral transverse distances b = O(M_pi^{1}) the densities are governed by chiral dynamics and can be calculated modelindependently using chiral effective field theory (EFT). We represent the leadingorder chiral EFT results for the peripheral transverse densities as overlap integrals of chiral lightfront wave functions, describing the transition of the initial nucleon to soft pionnucleon intermediate states and back. The new representation (a) explains the parametric order of the peripheral transverse densities; (b) establishes an inequality between the spinindependent and dependent densities; (c) exposes the role of pion orbital angular momentum in chiral dynamics; (d) reveals a large leftright asymmetry of the current in a transversely polarized nucleon and suggests a simple interpretation. The lightfront representation enables a firstquantized, quantummechanical view of chiral dynamics that is fully relativistic and exactly equivalent to the secondquantized, fieldtheoretical formulation. It relates the charge and magnetization densities measured in lowenergy elastic scattering to the generalized parton distributions probed in peripheral highenergy scattering processes. The method can be applied to nucleon form factors of other operators, e.g. the energymomentum tensor.
 Authors:

^{[1]};
^{[2]}
 Uppsala Univ., Uppsala (Sweden)
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Publication Date:
 Report Number(s):
 JLABTHY152018; DOE/OR/231773316; arXiv:1503.04839
Journal ID: ISSN 10298479; PII: 1790; TRN: US1500605
 Grant/Contract Number:
 AC0506OR23177
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 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; lightfront quantization; generalized parton distributions
 OSTI Identifier:
 1209229
Granados, Carlos G., and Weiss, Christian. Lightfront representation of chiral dynamics in peripheral transverse densities. United States: N. p.,
Web. doi:10.1007/JHEP07(2015)170.
Granados, Carlos G., & Weiss, Christian. Lightfront representation of chiral dynamics in peripheral transverse densities. United States. doi:10.1007/JHEP07(2015)170.
Granados, Carlos G., and Weiss, Christian. 2015.
"Lightfront representation of chiral dynamics in peripheral transverse densities". United States.
doi:10.1007/JHEP07(2015)170. https://www.osti.gov/servlets/purl/1209229.
@article{osti_1209229,
title = {Lightfront 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 lightfront time. At peripheral transverse distances b = O(M_pi^{1}) the densities are governed by chiral dynamics and can be calculated modelindependently using chiral effective field theory (EFT). We represent the leadingorder chiral EFT results for the peripheral transverse densities as overlap integrals of chiral lightfront wave functions, describing the transition of the initial nucleon to soft pionnucleon intermediate states and back. The new representation (a) explains the parametric order of the peripheral transverse densities; (b) establishes an inequality between the spinindependent and dependent densities; (c) exposes the role of pion orbital angular momentum in chiral dynamics; (d) reveals a large leftright asymmetry of the current in a transversely polarized nucleon and suggests a simple interpretation. The lightfront representation enables a firstquantized, quantummechanical view of chiral dynamics that is fully relativistic and exactly equivalent to the secondquantized, fieldtheoretical formulation. It relates the charge and magnetization densities measured in lowenergy elastic scattering to the generalized parton distributions probed in peripheral highenergy scattering processes. The method can be applied to nucleon form factors of other operators, e.g. the energymomentum tensor.},
doi = {10.1007/JHEP07(2015)170},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2015,
place = {United States},
year = {2015},
month = {7}
}