Three-nucleon force study by the $pd$ breakup measurements at the intermediate energy region

The effects of three-nucleon force (3NF) has been actively studied by using the nucleon-deuteron ($Nd$) scattering states. The differential cross sections of the elastic $Nd$ scattering at the energy below 150 MeV can be well reproduced by the Faddeev calculation based on modern nucleon-nucleon ($NN$) interactions and 3NF. On the other hand, the data at 250 MeV was underestimated by the Faddeev calculations with 3NF by 50\%. For the systematic study to understand the missing picture of 3NF, we performed the measurements of the $pd$ breacup reactions at 170 and 250 MeV. Concerning about the $^2$H($p,pp$)$n$ exclusive breakup reaction at $E_p=$ 250 MeV, the data of the differential cross sections are well reproduced by the Faddeev calculations. However in the case of the $^2$H($p,p$)$pn$ inclusive breakup reaction at $E_p=$ 170 MeV, our data shows large discrepancies between the data and the calculations with 3NFs, which is similar to the results of the $^2$H($p,p$) inclusive breakup reaction at 250 MeV.