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At the level of our treatment, the spectrum of pure liquid Xe has no qualitative dependence on polarization. Including higher order terms in the dipole-induced-dipole series would introduce a finite, though small, dependence. See Ref. 17.
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Eqs. (7) and (8) imply that any constant portion of the many-body polarizability will have an identically zero contribution to the 5-th order signal
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51
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0345302358
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note
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2.
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52
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0344439334
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note
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The dipole-dipole tensors in Eq. (4) have zero trace. See Ref. 17.
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