We propose to investigate the shape coexistence and the Pygmy Quadrupole Resonance in the neutron-rich 118,120Sn nuclei through a high-statistics (n,g) measurement on enriched 117,119Sn targets. The multipolarity of the weak gamma rays previously observed in the EXILL experiment could then be established exploiting the angular correlation and especially the polarization deduced from the scattering of gamma rays among the Ge crystals of the clover detectors of the FIPPS setup. We performed a successful (n,g) measurement for 124Te in early 2017, which will allow to assign spins/parities to many transitions around the band-head of the 2p-2h intruder band. We will study 116Sn in the autumn of 2017. The measurement of 118,120Sn will complete the study of the unique sequence of 116,118,120Sn semi-magic nuclei. The sub-commitee encouraged us to re-submit the proposal for 118,120Sn, suggesting to start with 116Sn only, and to submit a continuation proposal in a later round. As the accepted proposals of the present call will be scheduled in 2018, we re-submit the proposal to measure using FIPPS and (n,g) reactions the angular correlations and polarization of the transitions of 118,120Sn.