We investigate the constraints on the kaonic atom optical potential deduced from the latest extremely high precision data of the 2p states of the kaonic $^3$He and $^4$He atoms .
In our analyses, we consider the phenomenological optical potentials proportional
to the nuclear density distributions, and the potentials inspired by the theoretical studies of the chiral unitary model and the χ2 fitting to the previous data. We find that the data in Ref.  together with the previous data of heavier kaonic atoms could provide the relevant constraints to the kaonic atom optical potential .
 T. Hashimoto et al. [J-PARC E62], Phys. Rev. Lett. 128, no.11, 112503 (2022).
 J. Yamagata-Sekihara et al., in preparation.