Abstract
We observe strong softening of optical-phonon modes in superconducting $({T}_{c}=4.2\phantom{\rule{0.3em}{0ex}}\mathrm{K})$ boron-doped diamond near the Brillouin-zone center using inelastic x-ray scattering from a chemical vapor deposition grown highly oriented sample. The magnitude of the softening, and our observation that it becomes stronger approaching zone center, supports theoretical models suggesting a phonon-mediated pairing mechanism via coupling of optical-phonon modes to Fermi surfaces around the zone center. The electron-phonon coupling parameter is determined as approximately $\ensuremath{\lambda}=0.33$.
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