One-proton (1p) radioactive emission under the influence of the Λ 0 -hyperon inclusion is discussed. I investigate the hyper-1p emitter, 6 Λ Li, with a time-dependent three-body model. Two-body interactions for α-proton and α-Λ 0 subsystems are determined consistently to their resonant and bound energies, respectively. For a proton-Λ 0 subsystem, a contact interaction, which can be linked to the vacuum-scattering length of the proton-Λ 0 scattering, is employed. A noticeable sensitivity of the 1p-emission observables to the scattering length of the proton-Λ 0 interaction is shown. The Λ 0 -hyperon inclusion leads to a remarkable fall of the 1p-resonance energy and width from the hyperon-less α-proton resonance. For some empirical values of the proton-Λ 0 scattering length, the 1p-resonance width is suggested to be of the order of 0.1 − 0.01 MeV. Thus, the 1p emission from 6 Λ Li may occur in the timescale of 10 −20 − 10 −21 seconds, which is sufficiently shorter than the selfdecay lifetime of Λ 0 , 10 −10 seconds. By taking the spin-dependence of the proton-Λ 0 interaction into account, a remarkable split of the J π = 1 − and 2 − 1p-resonance states is predicted. It is also suggested that, if the spin-singlet proton-Λ 0 interaction is sufficiently attractive, the 1p emission from the 1 − ground state is forbidden. From these results, I conclude that the 1p emission can be a suitable phenomenon to investigate the basic properties of the hypernuclear interaction, for which a direct measurement is still difficult.PACS numbers: 21.10. Tg, 21.80.+a, 23.50.+z, 27.20.+n. 6 Λ Li, is presented. There, my result and discussion on the hyperon-inclusion effect on the 1p emission are described arXiv:1802.04811v1 [nucl-th]