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Title Nucleon Resonance Electroexcitation Amplitudes and Emergent Hadron Mass
Authors Daniel Carman, Ralf Gothe, Viktor Mokeev, Craig Roberts
JLAB number JLAB-PHY-23-3744
LANL number 2301.07777[hep-ph]
Other number DOE/OR/23177-5690
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for PARTICLES
Volume 6
Issue 1
Page(s) 416-439
Refereed
Publication Abstract: Understanding the strong interaction dynamics that govern the emergence of hadron mass (EHM) represents a challenging open problem in the Standard Model. In this paper we describe new opportunities for gaining insight into EHM from results on nucleon resonance ($N^\ast$) electroexcitation amplitudes ({\it i.e.} $\gamma_vpN^\ast$ electrocouplings) in the mass range up to 1.8\,GeV for virtual photon four-momentum squared ({\it i.e.} photon virtualities $Q^2$) up to 7.5\,GeV$^2$ available from exclusive meson electroproduction data acquired during the 6-GeV era of experiments at Jefferson Laboratory (JLab). These results, combined with achievements in the use of continuum Schwinger function methods (CSMs), offer new opportunities for charting the momentum dependence of the dressed quark mass from results on the $Q^2$-evolution of the $\gamma_vpN^\ast$ electrocouplings. This mass function is one of the three pillars of EHM and its behavior expresses influences of the other two, \textit{viz}.\ the running gluon mass and momentum-dependent effective charge. A successful description of the $\Delta(1232)3/2^+$ and $N(1440)1/2^+$ electrocouplings has been achieved using CSMs with, in both cases, common momentum-dependent mass functions for the dressed quarks, for the gluons, and the same momentum-dependent strong coupling. The properties of these functions have been inferred from nonperturbative studies of QCD and confirmed, \textit{e.g}., in the description of nucleon and pion elastic electromagnetic form factors. Parameter-free CSM predictions for the electrocouplings of the $\Delta(1600)3/2^+$ became available in 2019. The experimental results obtained in the first half of 2022 have confirmed the CSM predictions. We also discuss prospects for these studies during the 12-GeV era at JLab using the CLAS12 detector, with experiments that are currently in progress, and canvass the physics motivation for continued studies in this area with a possible increase of the JLab electron beam energy up to 22\,GeV. Such an upgrade would finally enable mapping of the dressed quark mass over the full range of distances ({\it i.e.} quark momenta) where the dominant part of hadron mass and $N^\ast$ structure emerge in the transition from the strongly coupled to perturbative QCD regimes.
Experiment Numbers:
Group: Hall B
Document: pdf
DOI: https://doi.org/10.3390/particles6010023
Accepted Manuscript: EHM_Particles_Standard.pdf
Supporting Documents:
Supporting Datasets: