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Nowadays, extensive studies of the problem of the deeply bound $ar{K}$  nuclei stimulate the reconsid eration of Λ(1405) state as the  theoretical basis of the binding of $ar{K}$ nuclei, and the old  question of the nature of Λ(1405) becomes a modern subject by  the new interest. In contrast to one of conventional interpretations of  Λ(1405) as the $ar{K}$N quasi-bound state at  1405 MeV/c2 , a two-pole hypothesis, by which  Λ(1405) consists of two poles at 1420 and 1390  MeV/c2 couple mainly with $ar{K}$N  and Σπ channels, respectively, was proposed recently. On the  other hand, a very recent theoretical analysis has claried that the (Σπ)0 invariant mass spectra after  K− absorption in d reect  strikingly resonant formation of Λ(1405) (or  Λ(1420)) and thus are capable of distinguishing dierent  Ansatz’s. We have proposed a new experiment by means of the stopped  K− reaction on liquid deuterium at J-PARC K1.8BR  beamline with E15/E17 experimental devices, so as to give a new precision- and  high-statistics-data of (Σπ)0 mass spectra to  examine the issue, Λ(1405) or Λ(1420), in the  most reliable way, and thus to answer the most fundamental questions of  $ar{K}$N interaction and $ar{K}$ nuclei

The investigation ofΛ(1405) state in the stoppedK−reaction on deuterium