A Precision Measurement of Inclusive $g^{n}_{2}$ and $d^{n}_{2}$ with SoLID on a Polarized $^{3}$He Target at $8.8$ and $11$ GeV

A precision measurement of inclusive neutron spin structure function $g_{2} (x,Q^{2})$, which will be run in parallel with E12-10-006 and E12-11-007 experiments by using a Solenoidal Large Intensity Device (SoLID) at Jefferson Lab (JLab) Hall A, was approved by JLab PAC48, 2020. In the proposed experiment, high statistics data will be collected within a large kinematic coverage of Bjorken scaling $x > 0.1$ and four momentum transfer $ 1.5