The extremely neutron-rich system 6H was studied in the direct 2H(8He,4He)6H transfer reaction with a 26 AMeV secondary 8He beam. The measured missing mass spectrum shows a resonant state in 6H at 6.8(3) MeV relative to the 3H+3n threshold. There is also some evidence of a resonant state at 4.5(3) MeV which is a realistic candidate for the 6H ground state (g.s.). The population cross section of the presumably p-wave states in the energy range from 4 to 8 MeV is dσ/dΩc.m.∼190μb/sr in the angular range 5∘<θc.m.<16∘. The obtained missing mass spectrum is free of the 6H events below 3.5 MeV (dσ/dΩc.m.≲3μb/sr in the angular range 5∘<θc.m.<20∘), which indicates that the value of 4.5 MeV is the lower limit of the possible 6H g.s. location. The obtained results confirm that the decay mechanism of the 7H g.s. (located at 2.2 MeV above the 3H+4n threshold) is the ``true'' (or simultaneous) 4n emission. The resonance energy profiles and the momentum distributions of the sequential 6H→5H(g.s.)+n→3H+3n decay fragments were analyzed by the theoretically-updated direct four-body-decay and sequential-emission mechanisms. The measured momentum distributions of the 3H fragments in the 6H rest frame indicate a very strong ``dineutron-type'' correlations in the 5H ground state decay
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