The damping mechanisms of the $\Delta$(1232) resonance in nuclei are studied by analyzing the quasifree decay reactions ${}^{12}$C$({\pi }^{+},{\pi }^{+}{p)}^{11}$B and ${}^{12}$C${(}^3$He,$t{\pi }^{+}{p)}^{11}$B and the $2p$ emission reactions ${}^{12}$C$({\pi }^{+}{,pp)}^{10}$B and ${}^{12}$C${(}^3$He,${tpp)}^{10}$B. The coincidence cross sections are calculated within the framework of the isobar-hole model. It is found that the $2p$ emission process induced by the decay of the $\Delta$ resonance in the nucleus can be consistently described by a $\pi +\rho {+g}^{\prime }$ model for the $\Delta +N\to N+N$ decay interaction.

• Received 13 September 1996

DOI:https://doi.org/10.1103/PhysRevC.55.1819