Widths of P26(1+) and mass of P26(g.s.)

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For the ${1}^{+}$ first-excited state of $^{26}\mathrm{P}$, the lifetime and the upper limit on the proton width have been combined with shell-model spectroscopic factors to place an upper limit on the proton single-particle (sp) width. With a potential model, this limit on sp width allows an upper limit on the ${1}^{+}$ resonance energy of ${E}_{\mathrm{r}}<124\phantom{\rule{0.16em}{0ex}}\mathrm{keV}$. Combining with the known ${1}^{+}$ excitation energy provides a limit on the proton separation energy of $^{26}\mathrm{P}(\mathrm{g}.\mathrm{s}.)$ of ${S}_{\mathrm{p}}>40\phantom{\rule{0.16em}{0ex}}\mathrm{keV}$, considerably better than a recent result of ${S}_{\mathrm{p}}>\ensuremath{-}135\phantom{\rule{0.16em}{0ex}}\mathrm{keV}$ from a similar procedure that used $R$-matrix sp widths.