Nucleon tensor form factors at large Nc

Ghim, Nam-Yong; Won, Ho-Yeon; Kim, June-Young; Kim, Hyun-Chul

doi:10.1103/physrevd.111.074024

Nucleon tensor form factors at large N_c

Journal Article · Fri Apr 18 00:00:00 EDT 2025 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.111.074024· OSTI ID:2559012

Ghim, Nam-Yong ^[1]; ^[2]; ^[3]; ^[1]

Inha University, Incheon (Korea, Republic of)
Ecole Polytechnique, Palaiseau (France)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We investigate nucleon tensor form factors in the large-N_c limit. In this picture, the nucleon emerges as a state of the N_c valence quarks, which were bound by pion mean fields that were created by the presence of the valence quarks self-consistently. We find that the tensor charge ($$g^{u-d}_T =$$ 0.99) and the anomalous tensor magnetic moment ($$κ^{u+d}_T =$$ 7.61) are dominated by valence quarks, while the tensor quadrupole moment ($$Q^{u-d}_T =$$ -7.02) shows significant sea quark effects. We examine how these quantities vary as the average size of the pion mean field is changed, showing interpolation between nonrelativistic quark and Skyrme limits. We also observe that $$g^{u-d}_T$$ and $$κ^{u+d}_T$$ depend weakly on the pion mass. In contrast, $$Q^{u-d}_T$$ exhibits strong enhancement near the chiral limit. The numerical results are in good agreement with available lattice quantum chromodynamics (QCD) data and provide predictions for unmeasured quantities.

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 2559012

Alternate ID(s):: OSTI ID: 2560301

Report Number(s):: DOE/OR/23175--7815; JLAB-THY--25-4080; arXiv:2501.12241

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 7 Vol. 111; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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