Spin-orbit correlations in the nucleon in the large-$N_{c}$ limit - Archive ouverte HAL
Article Dans Une Revue Physical Review D Année : 2024

Spin-orbit correlations in the nucleon in the large-$N_{c}$ limit

June-Young Kim
  • Fonction : Auteur
Hyun-Chul Kim
  • Fonction : Auteur
Christian Weiss
  • Fonction : Auteur

Résumé

We study the twist-3 spin-orbit correlations of quarks described by the nucleon matrix elements of the parity-odd rank-2 tensor QCD operator (the parity-odd partner of the QCD energy-momentum tensor). Our treatment is based on the effective dynamics emerging from the spontaneous breaking of chiral symmetry and the mean-field picture of the nucleon in the large-$N_c$ limit. The twist-3 QCD operators are converted to effective operators, in which the QCD interactions are replaced by spin-flavor-dependent chiral interactions of the quarks with the pion field. We compute the nucleon matrix elements of the twist-3 effective operators and discuss the role of the chiral interactions in the spin-orbit correlations. We derive the first-quantized representation in the mean-field picture and develop a quantum-mechanical interpretation. The chiral interactions give rise to new spin-orbit couplings and qualitatively change the correlations compared to the quark model picture. We also derive the twist-3 matrix elements in the topological soliton picture where the quarks are integrated out (skyrmion). The methods used here can be extended to other QCD operators describing higher-twist nucleon structure and generalized parton distributions.

Dates et versions

hal-04525394 , version 1 (28-03-2024)

Identifiants

Citer

June-Young Kim, Ho-Yeon Won, Hyun-Chul Kim, Christian Weiss. Spin-orbit correlations in the nucleon in the large-$N_{c}$ limit. Physical Review D, 2024, 110 (5), pp.054026. ⟨10.1103/PhysRevD.110.054026⟩. ⟨hal-04525394⟩
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