Some hydrogen-poor (Type Ibc) supernovae (SNe) are known to have massive circumstellar matter (CSM) that are well detached from the star. Using the open-source code CHIPS, we construct a grid of models of SN Ibc interacting with detached CSM, inspired by a recently proposed scenario of such CSM generated by a mass eruption and feedback process from the leftover star. We find that interaction with detached CSM can produce a slowly rising phase in the light curve seen in some interacting SN Ibc, which is difficult to reproduce by interaction with continuously distributed CSM down to the star. We also show that SNe having double peaks in their light curves with timescales of months (e.g., SN 2022xxf) can be explained by radioactive decay of Ni/Co, followed by interaction with detached CSM.

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