Three-body local correlation function in the Lieb-Liniger model:   bosonization approach
  We develop a method for the calculation of vacuum expectation values of local operators in the Lieb-Liniger model. This method is based on a set of new identities obtained using integrability and effective theory (``bosonization'') description. We use this method to get an explicit expression for the three-body local correlation function, measured in a recent experiment [1]. 
Vadim V. Cheianov, H. Smith, M. B. Zvonarev