G92isobaric analog resonances inMn51

Abstract

Fragments of the ${g}_{\frac{9}{2}}$ isobaric analog states in $^{51}\mathrm{Mn}$ corresponding to ${E}_{x}=4.101$ MeV (${S}_{n}=0.10$) and ${E}_{x}=4.155$ MeV (${S}_{n}=0.34$) parent states in $^{51}\mathrm{Cr}$ have been found. To locate the ${g}_{\frac{9}{2}}$ isobaric analog resonance fragments the $^{50}\mathrm{Cr}(\mathrm{p},{\mathrm{p}}_{1}\ensuremath{\gamma})$, $^{50}\mathrm{Cr}(\mathrm{p},{\mathrm{p}}_{2}\ensuremath{\gamma})$, and $^{50}\mathrm{Cr}(\mathrm{p},\ensuremath{\gamma})^{51}\mathrm{Mn}$ reactions were used. The excitation curves were measured in the ${E}_{\mathrm{p}}=3.08\ensuremath{-}3.36$ MeV proton energy range. The excitation function of the (p,${\mathrm{p}}_{2}\ensuremath{\gamma}$) reaction turned out to be a sensitive tool to locate resonances with higher, $\frac{5}{2}\ensuremath{\le}{J}_{R}\ensuremath{\le}\frac{13}{2}$, spins. The spins of the resonances were found using the method of normalized angular distributions. Fifteen ${g}_{\frac{9}{2}}$ fragments were identified. Partial widths for each fragment and in all three channels were deduced and fine structure analyses were carried out. Inelastic spectroscopic factors and Coulomb displacement energies were derived for both fragmented ${g}_{\frac{9}{2}}$ isobaric analog resonances. The results were compared with previous work.