$\Delta$-mass dependence of the M-matrix in the calculation of $\mbox{N}Δ\to \mbox{NN}$ cross sections

Abstract

Within the one boson exchange model, $\Delta$-mass dependent M-matrix and its influence on the calculation of $N\Delta \to NN$ cross sections are investigated. Our calculations show that the $m_{\Delta }$ dependence of $|{\text{p}}_{N\Delta }|$ and $|\mathcal{M}{|}^2$ has effects on the calculations of ${\sigma }_{N\Delta \to NN}$, especially around the threshold energy. We finally provide a table of accurate ${\sigma }_{N\Delta \to NN}$ which can be used in the transport models.

6 pages, 4 figures