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Tensor-polarized parton density in the N→Δ transition from the large-Nc light-cone wave function

June-Young Kim*

  • *Contact author: jun-young.kim@inha.ac.kr
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Phys. Rev. D 113, 114019 – Published 11 June, 2026

DOI: https://doi.org/10.1103/93ym-mbyj

Abstract

The tensor-polarized parton density is defined by the forward matrix element of a partonic operator in the N→Δ transition. In this work, we investigate it by employing the large-Nc light-cone wave function derived from the mean-field approach. The mean-field picture is based on low-energy effective dynamics in the large-Nc limit, where the baryon wave function is formulated in the rest frame. By exploiting the covariance of the mean-field solution, we derive the corresponding large-Nc light-cone wave function—decomposed unambiguously into 3Q, 5Q, 7Q, and higher Fock components—in the infinite momentum frame. Evaluating the overlap of these wave functions, we derive an overlap representation of the tensor-polarized parton density in the N→Δ transition and find that the leading contribution arises from the 5Q Fock sector. This indicates that the tensor-polarized parton density directly probes the genuine 5Q component and is governed by chiral dynamics. Our numerical analysis shows that the N→Δ tensor-polarized parton density is suppressed, consistent with standard large-Nc expectations. Finally, we establish connections among the tensor-polarized parton density, the generalized parton distribution HX, and the energy-momentum tensor form factor F4.

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Phys. Rev. D 113, 114019– Published 11 June, 2026
  • Received 18 August 2025
  • Accepted 19 May 2026
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