### Abstract

We suggest using polarized nuclear targets of ^{7}Li and ^{3}He to study nuclear effects in the spin-dependent structure functions g_{1A}(x,Q^{2}). These effects are expected to be enhanced by a factor of 2 as compared to the unpolarized targets. We predict a significant x dependence at 10^{-4}-10^{-3} ≤x≤ 0.2 of g_{1A}(x,Q^{2})/ g_{1N}(x,Q^{2}) due to nuclear shadowing and nuclear enhancement. The effect of nuclear shadowing at x ≈ 10^{-3} is of an order of 16% for g^{n.s, 3/2}_{1A = 7} (x,Q^{2})/ g^{n.s.}_{1N} (x,Q^{2}) and 10% for g^{n.s}_{1A = 3} (x,Q^{2})/ g^{n.s.}_{1N} (x,Q^{2}). By imposing the requirement that the Bjorken sum rule is satisfied we model the effect of enhancement. We find the effect of enhancement at x ≈ 0.125 (0.15) to be of an order of 20 (55)% for g^{n.s 3/2}_{1A = 7} (x,Q^{2})/ g^{n.s.}_{1N} (x,Q^{2}) and 14 (40)% for g^{n.s}_{1A = 3} (x,Q^{2})/ g^{n.s.}_{1N} (x,Q^{2}), if enhancement occupies the region 0.05 ≤ x ≤ 0.2 (0.1 ≤ x ≤ 0.2). We predict a 2% effect in the difference of the scattering cross sections of deep inelastic scattering of an unpolarized projectile off ^{7}Li with M_{J} = 3/2 and M_{J} = 1/2. We also show explicitly that the many-nucleon description of deep inelastic scattering off ^{7}Li becomes invalid in the enhancement region 0.05 < x ≤ 0.2.

Original language | English (US) |
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Article number | 014002 |

Pages (from-to) | 140021-1400215 |

Number of pages | 1260195 |

Journal | Physical Review C - Nuclear Physics |

Volume | 61 |

Issue number | 1 |

State | Published - Jan 2000 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

_{1A}(x,Q

^{2}) at small x in deep inelastic scattering on

^{7}Li and

^{3}He.

*Physical Review C - Nuclear Physics*,

*61*(1), 140021-1400215. [014002].