Measurement of the $^3$He spin-structure functions and of neutron ($^3$He) spin-dependent sum rules at 0.035 ≤ Q$^2$ ≤ 0.24 GeV$^2$

V. Sulkosky , J.T. Singh , C. Peng , J.-P. Chen , A. Deur , S. Abrahamyan , K.A. Aniol , D.S. Armstrong , T. Averett , S.L. Bailey , A. Beck , P. Bertin (1) , F. Butaru , W. Boeglin , A. Camsonne (1) , G.D. Cates , C.C. Chang , Seonho Choi , E. Chudakov , L. Coman , J.C. Cornejo , B. Craver , F. Cusanno , R. de Leo , C.W. de Jager , J.D. Denton , S. Dhamija , R. Feuerbach , J.M. Finn , S. Frullani , K. Fuoti , H. Gao , F. Garibaldi , O. Gayou , R. Gilman , A. Glamazdin , C. Glashausser , J. Gomez , J.-O. Hansen , D. Hayes , B. Hersman , D.W. Higinbotham , T. Holmstrom , T.B. Humensky , C.E. Hyde , H. Ibrahim , M. Iodice , X. Jiang , L.J. Kaufman , A. Kelleher , K.E. Keister , W. Kim , A. Kolarkar , N. Kolb , W. Korsch , K. Kramer , G. Kumbartzki , L. Lagamba , V. Lainé , G. Laveissiere (1) , J.J. Lerose , D. Lhuillier (2) , R. Lindgren , N. Liyanage , H.-J. Lu , B. Ma , D.J. Margaziotis , P. Markowitz , K. Mccormick , M. Meziane , Z.-E. Meziani , R. Michaels , B. Moffit , P. Monaghan , S. Nanda , J. Niedziela , M. Niskin , R. Pandolfi , K.D. Paschke , M. Potokar , A.J.R. Puckett , V.A. Punjabi , Y. Qiang , R. Ransome , B. Reitz , R. Roché , A. Saha , A. Shabetai , S. Širca , K. Slifer , R. Snyder , P. Solvignon , R. Stringer , R. Subedi , W.A. Tobias , N. Ton , P.E. Ulmer , G.M. Urciuoli , A. Vacheret (2) , E. Voutier (3) , K. Wang , L. Wan , B. Wojtsekhowski , S. Woo , H. Yao , J. Yuan , X. Zhan , X. Zheng , L. Zhu

1 LPC - Laboratoire de Physique de Clermont
2 DPHN - Département de Physique Nucléaire (ex SPhN)
3 LPSC - Laboratoire de Physique Subatomique et de Cosmologie

The spin-structure functions $g_1$ and $g_2$, and the spin-dependent partial cross-section ${\sigma }_{\mathrm{TT}}$ have been extracted from the polarized cross-sections differences, $\mathrm{\Delta }{\sigma }_{\parallel }(\nu ,Q^2)$ and $\mathrm{\Delta }{\sigma }_{\perp }(\nu ,Q^2)$ measured for the $\overrightarrow{{}^{\mathrm{\text{3}}}\mathrm{\text{He}}}(\overrightarrow{\mathrm{\text{e}}},{\mathrm{\text{e}}}^{\prime })\mathrm{\text{X}}$ reaction, in the E97-110 experiment at Jefferson Lab. Polarized electrons with energies from 1.147 to 4.404 GeV were scattered at angles of $6^{\circ }$ and $9^{\circ }$ from a longitudinally or transversely polarized ³He target. The data cover the kinematic regions of the quasi-elastic, resonance production and beyond. From the extracted spin-structure functions, the first moments $\overline{{\mathrm{\Gamma }}_1}\left(Q^2\right)$, ${\mathrm{\Gamma }}_2\left(Q^2\right)$ and $I_{\mathrm{TT}}\left(Q^2\right)$ are evaluated with high precision for the neutron in the $Q^2$ range from 0.035 to $0.24{\text{GeV}}^2$. The comparison of the data and the chiral effective field theory predictions reveals the importance of proper treatment of the Δ degree of freedom for spin observables.

Mots clés: Jefferson Lab; spin: asymmetry; deuteron: structure function; sum rule: spin; experimental results; helium: polarization; structure function: spin; n: polarization; perturbation theory: chiral; cross section: difference; spin: dependence

Domaines: Physique Nucléaire Expérimentale [nucl-ex]; Physique des Hautes Energies - Expérience [hep-ex]

V. Sulkosky, J.T. Singh, C. Peng, J.-P. Chen, A. Deur, et al.. Measurement of the $^3$He spin-structure functions and of neutron ($^3$He) spin-dependent sum rules at 0.035 ≤ Q$^2$ ≤ 0.24 GeV$^2$. Physics Letters B, 2020, 805, pp.135428. ⟨10.1016/j.physletb.2020.135428⟩. ⟨hal-02309031⟩