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Using pathintegral Monte Carlo and the maximum entropy method, we calculate the dynamic structure factor of solid 4He in the bcc phase at a finite temperature. Both the singlephonon contribution to the dynamic structure factor and the total dynamic structure factor are evaluated. From the dynamic structure factor, we obtain the phonon dispersion relations along the main crystalline directions, [001], [011], and [111]. We calculate both the longitudinal and transverse phonon branches. We discuss the differences between dispersion relations resulting from the singlephonon part versus the total dynamic structure factor. In addition, we evaluate the formation energy of a vacancy.
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