An experimental search for the simplest kaonic nuclear bound state,KNN, has been performed by using the in-flight K − + 3 He reactions at 1.0 GeV/c (J-PARC E15). The experiment investigates thē KNN state both in the formation via missing-mass spectroscopy and its decay via invariant-mass spectroscopy using the emitted neutron and the expected decayKNN → Λp, respectively. A large yield below the mass threshold of K − + p + p has been observed in the semi-inclusive 3 He(K − , n)X spectrum, but no significant structure has been seen in the deeply bound region. With the exclusive 3 He(K − , Λp)n analysis, a significant bump structure around the mass threshold has been observed in the Λp invariant-mass spectrum. The possible existence of theKNN states is discussed by combining the formation-and the decay-channel analyses.
KEYWORDS:KN interaction,KNN bound-state, J-PARC
IntroductionExtensive measurements of the anti-kaonic hydrogen atom [1-3] and low-energyKN scattering [4] have revealed the strongly attractiveKN interaction above theKN-mass threshold. As a consequence of the strongly attractiveKN interaction in I = 0 channels, the possible existence of strongly-boundK nuclear-states has been widely discussed [5][6][7][8]. The investigation of those exotic states will provide unique information of theKN interaction below the threshold, which is still not fully understood up to date. Furthermore, the grate interest of those exotic states is that they might form high-density nuclear matter where the chiral symmetry is expected to be restored [5,[8][9][10]. Thus the investigation of theK nuclear-states will give us the new insights on not only meson-baryon interactions in low-energy quantum chromodynamics (QCD) but also the change of the interaction in nuclear media.Among theK nuclear-states, the simplestK-nuclear cluster,KNN, is of special interest because it is the lightest S = -1K nucleus; the state is expected as [K ⊗ NN I=0,S =0 ] I=1/2 with J P = 0 − . For thē KNN system, many theoretically works based on a few-body calculation using theKNN −πΣN −πΛN coupled-channels have been performed and predicted the existence of the bound state. However, the calculated properties of the bound state, such as the binding energy (B.E.) and the decay width (Γ), strongly depend onKN interaction models. For the energy-independent models (phenomenological models), the binding energy is predicted to be ∼ 40-90 MeV [6,[11][12][13][14][15], whereas, it becomes ∼ 10-20 MeV for the energy-dependent cases (chiral SU(3) models) [7,[16][17][18][19]. With the chiral model, a double pole structure of theKNN is also proposed in relation to Λ(1405) [20]. As for the decay widths, the predicted values widely spread over ∼ 30-110 MeV, too. Such divergence is attributed mainly from difference of theKN potential below theKN-mass threshold.Experimentally, there are several reports on observation of peak structure with the B.E. of ∼ 100 MeV. The FINUDA collaboration at DAΦNE measured the stopped K − reaction on 6 Li, 7 Li, and 12 C targets, and observe...