We present $S$ factor data obtained from the Coulomb dissociation of $83\text{MeV}∕\text{nucleon}$ ${}^8\mathrm{B}$, and analyze ${}^7\mathrm{Be}$ longitudinal momentum distributions measured at 44 and $81\text{MeV}∕\text{nucleon}$ using a potential model, first-order perturbation theory, and dynamical solution of the time-dependent Schrödinger equation. Comparing our results with independent continuum-discretized coupled channels calculations, we study the reaction model and beam energy dependence of the $E2$ contribution to the dissociation cross section. By fitting radiative capture and Coulomb breakup data taken below relative energies of $400\text{keV}$ with potential models constrained by ${}^7\mathrm{Li}+n$ and ${}^7\mathrm{Be}+p$ elastic scattering data, we examine the mutual consistency of recent ${\mathit{S}}_{17}$ measurements and obtain a recommended value for $S_{17}\left(0\right)$ of $18.6\pm 0.4$ (experimental) $\pm 1.1$ (extrapolation) eV b $\left(1\sigma \right)$. This result is in good agreement with recent experimental determinations of the asymptotic normalization coefficient of the valence proton wave function in ${}^8\mathrm{B}$.

• Received 16 April 2003

DOI:https://doi.org/10.1103/PhysRevC.68.045802