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Title: Light-front representation of chiral dynamics with Δ isobar and large-Nc relations

Abstract

Transverse densities describe the spatial distribution of electromagnetic current in the nucleon at fixed light-front time. At peripheral distances b = O(Mπ–1) the densities are governed by chiral dynamics and can be calculated model-independently using chiral effective field theory (EFT). Recent work has shown that the EFT results can be represented in first-quantized form, as overlap integrals of chiral light-front wave functions describing the transition of the nucleon to soft-pion-nucleon intermediate states, resulting in a quantum-mechanical picture of the peripheral transverse densities. We now extend this representation to include intermediate states with Δ isobars and implement relations based on the large-Nc limit of QCD. We derive the wave function overlap formulas for the Δ contributions to the peripheral transverse densities by way of a three-dimensional reduction of relativistic chiral EFT expressions. Our procedure effectively maintains rotational invariance and avoids the ambiguities with higher-spin particles in the light-front time-ordered approach. We study the interplay of πN and πΔ intermediate states in the quantum-mechanical picture of the densities in a transversely polarized nucleon. We show that the correct Nc-scaling of the charge and magnetization densities emerges as the result of the particular combination of currents generated by intermediate states with degenerate Nmore » and Δ. The off-shell behavior of the chiral EFT is summarized in contact terms and can be studied easily. As a result, the methods developed here can be applied to other peripheral densities and to moments of the nucleon's generalized parton distributions.« less

Authors:
 [1];  [1]
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  1. 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:
1328670
Report Number(s):
JLAB-THY-16-2235; DOE/OR/23177-3781; arXiv:1603.08881
Journal ID: ISSN 1029-8479; PII: 4145
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: 2016; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N expansion; chiral Lagrangians; effective field theories

Citation Formats

Granados, C., and Weiss, C. Light-front representation of chiral dynamics with Δ isobar and large-Nc relations. United States: N. p., 2016. Web. doi:10.1007/JHEP06(2016)075.
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Granados, C., & Weiss, C. Light-front representation of chiral dynamics with Δ isobar and large-Nc relations. United States. https://doi.org/10.1007/JHEP06(2016)075
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Granados, C., and Weiss, C. Mon . "Light-front representation of chiral dynamics with Δ isobar and large-Nc relations". United States. https://doi.org/10.1007/JHEP06(2016)075. https://www.osti.gov/servlets/purl/1328670.
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@article{osti_1328670,
title = {Light-front representation of chiral dynamics with Δ isobar and large-Nc relations},
author = {Granados, C. and Weiss, C.},
abstractNote = {Transverse densities describe the spatial distribution of electromagnetic current in the nucleon at fixed light-front time. At peripheral distances b = O(Mπ–1) the densities are governed by chiral dynamics and can be calculated model-independently using chiral effective field theory (EFT). Recent work has shown that the EFT results can be represented in first-quantized form, as overlap integrals of chiral light-front wave functions describing the transition of the nucleon to soft-pion-nucleon intermediate states, resulting in a quantum-mechanical picture of the peripheral transverse densities. We now extend this representation to include intermediate states with Δ isobars and implement relations based on the large-Nc limit of QCD. We derive the wave function overlap formulas for the Δ contributions to the peripheral transverse densities by way of a three-dimensional reduction of relativistic chiral EFT expressions. Our procedure effectively maintains rotational invariance and avoids the ambiguities with higher-spin particles in the light-front time-ordered approach. We study the interplay of πN and πΔ intermediate states in the quantum-mechanical picture of the densities in a transversely polarized nucleon. We show that the correct Nc-scaling of the charge and magnetization densities emerges as the result of the particular combination of currents generated by intermediate states with degenerate N and Δ. The off-shell behavior of the chiral EFT is summarized in contact terms and can be studied easily. As a result, the methods developed here can be applied to other peripheral densities and to moments of the nucleon's generalized parton distributions.},
doi = {10.1007/JHEP06(2016)075},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2016,
place = {United States},
year = {Mon Jun 13 00:00:00 EDT 2016},
month = {Mon Jun 13 00:00:00 EDT 2016}
}
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https://doi.org/10.1007/JHEP06(2016)075
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Works referenced in this record:

Impact parameter dependent parton distributions and off-forward parton distributions for ζ→0
journal, September 2000

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

Charge Densities of the Neutron and Proton
journal, September 2007

Transverse Charge Densities
journal, November 2010

Chiral dynamics and peripheral transverse densities
journal, January 2014

Light-front representation of chiral dynamics in peripheral transverse densities
journal, July 2015

Heavy baryon chiral perturbation theory with light deltas
journal, October 1998

  • Hemmert, Thomas R.; Holstein, Barry R.; Kambor, Joachim
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 24, Issue 10
  • DOI: 10.1088/0954-3899/24/10/003

Electromagnetic excitation of the Δ(1232)-resonance
journal, January 2007

A planar diagram theory for strong interactions
journal, April 1974

Baryons in the expansion
journal, November 1979

1 N c expansion for baryons
journal, May 1994

  • Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V.
  • Physical Review D, Vol. 49, Issue 9
  • DOI: 10.1103/PhysRevD.49.4713

The role of the Δ isobar in chiral perturbation theory and hedgehog soliton models
journal, October 1992

Chiral and large- N c limits of quantum chromodynamics and models of the baryon
journal, April 1996

Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem
journal, March 2001

Forms of Relativistic Dynamics
journal, July 1949

Relativistic dynamics on a null plane
journal, May 1978

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

Nucleons with chiral loops
journal, October 1988

Chiral structure of the nucleon
journal, December 1992

Low-energy analysis of the nucleon electromagnetic form factors
journal, January 2001

Baryon chiral perturbation theory in manifestly Lorentz invariant form
journal, July 1999

  • Becher, T.; Leutwyler, H.
  • The European Physical Journal C, Vol. 9, Issue 4
  • DOI: 10.1007/PL00021673

LARGE- N c BARYONS
journal, December 1998

Static properties of nucleons in the Skyrme model
journal, December 1983

The Skyrme model
journal, September 1986

The angular momentum controversy: What’s it all about and does it matter?
journal, August 2014

Electromagnetic Nucleon-to-Delta Transition in Chiral Effective-Field Theory
journal, November 2005

Empirical Transverse Charge Densities in the Nucleon and the Nucleon-to- Δ Transition
journal, January 2008

Quark transverse charge densities in the from lattice QCD
journal, June 2009

Pionic Corrections to Nucleon Electromagnetic Properties in a Light-Cone Framework
journal, July 1997

  • Dziembowski, Z.; Holtmann, H.; Szczurek, A.
  • Annals of Physics, Vol. 258, Issue 1
  • DOI: 10.1006/aphy.1997.5693

Baryon chiral perturbation theory in manifestly Lorentz invariant form
journal, July 1999

Electromagnetic excitation of the Delta(1232)-resonance
text, January 2006

Heavy Baryon Chiral Perturbation Theory with Light Deltas
text, January 1997

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    Chiral light-front perturbation theory and the flavor dependence of the light-quark nucleon sea
    journal, September 2019

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