$\alpha$-Particle Spectrum in the Reaction p+${}^{11}$B$\to \alpha {+}^{8}B{e}^{\ast }\to 3\alpha$

Abstract

Using a simple phenomenological parametrization of the reaction amplitude we calculated $\alpha$-particle spectrum in the reaction p+${}^{11}$B$\to \alpha {+}^{8}B{e}^{\ast }\to 3\alpha$ at the resonance proton energy 675 KeV. The parametrization includes Breit-Wigner factor with an energy dependent width for intermediate ${}^{8}B{e}^{\ast }$ state and the Coulomb and the centrifugal factors in $\alpha$-particle emission vertexes. The shape of the spectrum consists of a well defined peak corresponding to emission of the primary $\alpha$ and a flat shoulder going down to very low energy. We found that below 1.5 MeV there are 17.5% of $\alpha$'s and below 1 MeV there are 11% of them.

Comments: 6 pages, 3 figures