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

Granados, C.; Weiss, C.

doi:10.1007/JHEP06(2016)075

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

Journal Article · Mon Jun 13 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP06(2016)075· OSTI ID:1328670

Granados, C. ^[1]; Weiss, C. ^[1]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Transverse densities describe the spatial distribution of electromagnetic current in the nucleon at fixed light-front time. At peripheral distances b = O(M_π^–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-N_c 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 N_c-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.

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

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

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1328670

Report Number(s):: JLAB-THY-16-2235; DOE/OR/23177-3781; arXiv:1603.08881; PII: 4145

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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Chiral light-front perturbation theory and the flavor dependence of the light-quark nucleon sea Alberg, Mary; Miller, Gerald A. Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/physrevc.100.035205	journal	September 2019
Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors Alarcón, J. M.; Weiss, C. arXiv https://doi.org/10.48550/arxiv.1710.06430	text	January 2017

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