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Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon

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arxiv hep-ph/0512244 v2 pith:WF5WZABI submitted 2005-12-20 hep-ph nucl-th

classification hep-phnucl-th
keywords deltaelectroproductionpionregionresultscalculationchiralexperimental
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We develop an extension of chiral perturbation theory to the $\Delta$(1232)-resonance energy region and apply it to investigate the pion electroproduction off the nucleon ($e^- N \to e^- N\pi$). We present a complete calculation of this process, in the $\Delta$-resonance region, up to next-to-leading order in the {\it $\delta$-expansion}. At this order, the only free parameters are the three low-energy constants corresponding to the magnetic (M1), electric (E2), and Coulomb (C2) $\gamma N \to \Delta $ transition strength. After fitting these parameters to a few well-known data, our calculation provides a prediction for observables and multipole amplitudes of pion electroproduction. These results compare favorably with the phenomenological multipole solutions and recent experimental results from MIT-Bates and MAMI. Our prediction for the pion-mass dependence of the $\gamma N\Delta$ form factors offers an explanation for the discrepancy between the recent lattice-QCD results and the experimental value for the "C2/M1 ratio" at low $Q^2$.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Deciphering the nature of $P^{\Sigma}_{\psi s}$ pentaquarks in the light of their electromagnetic multipole moments

    hep-ph 2026-04 unverdicted novelty 7.0 of 10

    QCD light-cone sum rules computation of magnetic dipole, electric quadrupole, and magnetic octupole moments for Σ-type P_ψs pentaquarks, with quark-flavor decomposition and model discriminants.

  2. Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states

    hep-ph 2026-07 accept novelty 6.0 of 10

    LCSR calculations of magnetic, quadrupole and octupole moments for S=-2 hidden-charm pentaquarks yield large current-dependent ranges (-4.25 to 5.74 μ_N) dominated by the charm quark in most diquark configurations.

  3. Shedding light on the nature of the $P_{cs}(4459)$ pentaquark state

    hep-ph 2024-11 conditional novelty 5.0 of 10

    QCD light-cone sum rules with three diquark-diquark-antiquark currents predict Pcs(4459) magnetic dipole moments of -0.60, 1.60, and 0.99 nuclear magnetons.

  4. Magnetic Moments of Hidden-Charm Pentaquarks in the Diquark-Diquark-Antiquark Scheme

    hep-ph 2024-11 conditional novelty 4.0 of 10

    Using constituent quark masses and S-wave spin-flavor wave functions, the paper predicts magnetic moments for Pc(4457) and related hidden-charm pentaquarks in the diquark-diquark-antiquark scheme.

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