Abstract
An accurate quantitative description of the maxon-roton excitations in superfluid4He is still an open many-body problem. We present a new variational Monte Carlo calculation of this excitation spectrum. Our calculation starts from a shadow wave function in which all the pseudopotentials are optimized with a basis set method. The phase factors of the excitation are introduced in the subsidiary variables and an explicit backflow term is also introduced. The computed excitation spectrum is in good agreement with experiment at all wave vectors, the deviations being at the level of 5%. Double roton excitations and strength of the single excitation peak are also computed.
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