Spin-orbit correlations in the nucleon in the large- N c limit

Kim, June-Young; Won, Ho-Yeon; Kim, Hyun-Chul; Weiss, Christian

doi:10.1103/PhysRevD.110.054026

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

Journal Article · 19 September 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.054026 · OSTI ID:2447488

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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. Published by the American Physical Society 2024

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

Sponsoring Organization:: Ministry for Europe and Foreign Affairs; Ministry of Education, Science and Technology (MEST); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 2447488

Report Number(s):: DOE/OR/23177-7421; JLAB-THY-24-4002; 054026

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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