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Measurement of the 3He Spin Structure Functions and Their Moments at Low Q2

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Abstract

We report measurements of spin-dependent electron scattering from a polarized 3He target, 3He⃗(e⃗,e')X, performed at the Thomas Jefferson National Accelerator Facility (Jefferson Lab). The 3He spin-dependent virtual-photoabsorption cross sections σTT and σLT, or equivalently the spin structure functions g1 and g2, and their moments were extracted for 0.032 ≤ Q2 ≤ 0.23~GeV2, with coverage from the two-body breakup threshold through the nucleon-resonance region. The moment I1(Q2) reaches a plateau below Q2 ≃ 0.1~GeV2, consistent with the Gerasimov--Drell--Hearn (GDH) expectation, while the moment ITT(Q2), still dominated by the finite-virtuality breakup response, peaks at Q2 ≃ 0.1~GeV2 and turns toward the expected GDH value. Together, the two moments constitute the first observation of a nucleus approaching its GDH sum-rule value at the real-photon point. The moments I2(Q2) and ILT(Q2) yield, respectively, the lowest-Q2 nuclear test of the Burkhardt--Cottingham sum rule and the first nuclear test of the Schwinger sum rule. Besides testing fundamental sum rules, these data provide stringent benchmarks for ab initio calculations of the spin structure of light nuclei.

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BibTeX
@misc{peng2026measurement,
  title = {{Measurement of the $^3$He Spin Structure Functions and Their Moments at Low Q$^2$}},
  author = {C Peng and V Sulkosky and J.-P Chen and A Deur and S Abrahamyan and K.A Aniol and D.S Armstrong and T Averett and S.L Bailey and A Beck and P Bertin and F Butaru and W Boeglin and A Camsonne and G.D Cates and C.C Chang and Seonho Choi and E Chudakov and L Coman and J.C Cornejo and B Craver and F Cusanno and R de Leo and C.W de Jager and J.D Denton and S Dhamija and R Feuerbach and J.M Finn and S Frullani and K Fuoti and H Gao and F Garibaldi and O Gayou and R Gilman and A Glamazdin and C Glashausser and J Gomez and J.-O Hansen and D Hayes and B Hersman and D.W Higinbotham and T Holmstrom and T.B Humensky and C.E Hyde and H Ibrahim and M Iodice and X Jiang and L.J Kaufman and A Kelleher and K.E Keister and W Kim and A Kolarkar and N Kolb and W Korsch and K Kramer and G Kumbartzki and L Lagamba and V Lainé and G Laveissiere and J.J Lerose},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.30101},
  eprint = {2608.30101},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05742617v1},
}
RIS
TY  - UNPB
TI  - Measurement of the ^3He Spin Structure Functions and Their Moments at Low Q^2
AU  - C Peng
AU  - V Sulkosky
AU  - J.-P Chen
AU  - A Deur
AU  - S Abrahamyan
AU  - K.A Aniol
AU  - D.S Armstrong
AU  - T Averett
AU  - S.L Bailey
AU  - A Beck
AU  - P Bertin
AU  - F Butaru
AU  - W Boeglin
AU  - A Camsonne
AU  - G.D Cates
AU  - C.C Chang
AU  - Seonho Choi
AU  - E Chudakov
AU  - L Coman
AU  - J.C Cornejo
AU  - B Craver
AU  - F Cusanno
AU  - R de Leo
AU  - C.W de Jager
AU  - J.D Denton
AU  - S Dhamija
AU  - R Feuerbach
AU  - J.M Finn
AU  - S Frullani
AU  - K Fuoti
AU  - H Gao
AU  - F Garibaldi
AU  - O Gayou
AU  - R Gilman
AU  - A Glamazdin
AU  - C Glashausser
AU  - J Gomez
AU  - J.-O Hansen
AU  - D Hayes
AU  - B Hersman
AU  - D.W Higinbotham
AU  - T Holmstrom
AU  - T.B Humensky
AU  - C.E Hyde
AU  - H Ibrahim
AU  - M Iodice
AU  - X Jiang
AU  - L.J Kaufman
AU  - A Kelleher
AU  - K.E Keister
AU  - W Kim
AU  - A Kolarkar
AU  - N Kolb
AU  - W Korsch
AU  - K Kramer
AU  - G Kumbartzki
AU  - L Lagamba
AU  - V Lainé
AU  - G Laveissiere
AU  - J.J Lerose
PY  - 2026
DA  - 2026/09/08
PB  - HAL
DO  - 10.48550/arxiv.2608.30101
UR  - https://hal.science/hal-05742617v1
AB  - We report measurements of spin-dependent electron scattering from a polarized ^3He target, ^3He⃗(e⃗,e')X, performed at the Thomas Jefferson National Accelerator Facility (Jefferson Lab). The ^3He spin-dependent virtual-photoabsorption cross sections σ_TT and σ_LT, or equivalently the spin structure functions g_1 and g_2, and their moments were extracted for 0.032 ≤ Q^2 ≤ 0.23~GeV^2, with coverage from the two-body breakup threshold through the nucleon-resonance region. The moment I_1(Q^2) reaches a plateau below Q^2 ≃ 0.1~GeV^2, consistent with the Gerasimov--Drell--Hearn (GDH) expectation, while the moment I_TT(Q^2), still dominated by the finite-virtuality breakup response, peaks at Q^2 ≃ 0.1~GeV^2 and turns toward the expected GDH value. Together, the two moments constitute the first observation of a nucleus approaching its GDH sum-rule value at the real-photon point. The moments I_2(Q^2) and I_LT(Q^2) yield, respectively, the lowest-Q^2 nuclear test of the Burkhardt--Cottingham sum rule and the first nuclear test of the Schwinger sum rule. Besides testing fundamental sum rules, these data provide stringent benchmarks for ab initio calculations of the spin structure of light nuclei.
ER  -