Nuclear system with antikaons, so-called kaonic nuclei, has been a longstanding issue in strange nuclear physics and hadron physics, because they might have exotic nature; In particular, they could be a doorway to the dense matter due to the strong attraction between antikaon and nucleon. Among kaonic nuclei, the three-body system composed of two protons and a single K − meson, K − pp, is the most essential. In this article 1 , we will report on the recent situation of K − pp studies in both theoretical and experimental sides. Afterwards, we will explain our latest study of the K − pp with a fully coupled-channel complex scaling method (Full ccCSM) using a chiral SU(3)-basedKN(-πY) potential. In Full ccCSM, the K − pp is completely treated as a resonant state of aKNN-πΣN-πΛN coupled-channel system. The energy dependence involved in the chiral potential is handled with a selfconsistent calculation in which two extreme ansatzes are examined: field picture and particle picture. With our chiral SU(3)-based potential constrained by the precise data of kaonic hydrogen atom (SIDDHARTA experiment), the K − pp resonance is obtained as a shallowly bound state measured from theKNN threshold with a narrow width, if the field picture is employed in the calculation: the binding energy is 14 − 28 MeV and half value of the mesonic decay width are 8 − 15 MeV. On the other hand, if the particle picture is employed, it is found that the binding energy could be as large as about 50 MeV, even though such a chiral potential is used. Based on these results of Full ccCSM calculation, we have discussed on the possibility for kaonic nuclei to form a dense matter and on the latest experimental result reported by J-PARC E15 collaboration.Thus, kaonic nuclei are expected to be an exotic system. In order to reveal the properties of kaonic nuclei, many researchers have focused on the K − pp, which is a three-body system composed of a single K − meson and two protons. Certainly, general kaonic nuclei might possess interesting properties. However, it is difficult to investigate such a strongly-interacting quantum many-body system. Therefore, before proceeding to general systems, the simple three-body system, K − pp, has been investigated eagerly from both theoretical and experimental sides. As mentioned in the previous paragraph, the Λ(1405) is a quasi-bound state of two-bodyKN system. In our viewpoint, the Λ(1405) is a building block of kaonic nuclei, and the K − pp is a prototype of kaonic nuclei, which means the most essential kaonic nucleus. The K − pp could be a bridge from the excited hyperon Λ(1405) to general systems of kaonic nuclei.The current situation of the K − pp study is as follows. There have been many experiments to search for the K − pp quasi-bound states. However, the results are different in each experiment. In an early experiment by FINUDA collaboration [8], a bump structure was reported in the observed Λp invariant-mass distribution at far below thē KNN threshold. In addition, DISTO [9] and J-PARC E27 [10] collaborations re...