The Λ-hypernucleus (LHN) production in the proton-induced reaction is studied in the distorted wave impulse approximation(DWIA). The cross sections for the LHN production in the reactions where the proton bombards the 6Li, 12C and 16O targets, respectively, are calculated. It is shown that the reaction cross sections are of the order of μb, and the distortion effects tend to reduce the cross sections by a factor of 3~10. For the sΛ–LHN production, the differential cross section is decreased with the increasing mass of the target nucleus. The pΛ–LHN production cross section is normally higher than that for the sΛ–LHN production. The double differential cross sections (DDXS) with respect to the momenta of the outgoing proton and kaon are also demonstrated. The missing mass spectra of the inclusive reaction p+A → p+K++X for the 6Li, 12C and 16O targets, an alternative way to study hypernuclear physics, are proposed. From these spectra, the masses of LHN can accurately be extracted. Moreover, the exotic LHN production in the same type of reaction is also studied . The same physical quantities are calculated. It is shown that the magnitude of the cross section is also in the order of μb. The halo effect of the core nucleus that locates at a place far away from the stable line would make the wave function broader, and consequently reduces the production cross section.
