Possible determination of high-lying single particle components with (p,d) reactions

Abstract

A detailed feasibility study on deducing the high-lying single-particle components (HLSPCs), which are important but used to be ignored, in the ground and low-lying excited states of even-even light nuclei is performed by analyses of $(p,d)$ reactions with \nuc{12}{C}, \nuc{24}{Mg}, \nuc{28}{Si}, and \nuc{40}{Ca} targets at 51.93 MeV. Coupled reaction channels (CRC) analyses have been made for $(p,d)$ transitions to the $j$-forbidden excited states in \nuc{11}{C} (${\frac{5}{2}}^{-}$, 4.32 MeV), \nuc{23}{Mg} (${\frac{7}{2}}^{+}$, 2.05 MeV), \nuc{27}{Si} (${\frac{7}{2}}^{+}$, 2.16 MeV) and \nuc{39}{Ca} (${\frac{9}{2}}^{-}$, 3.64 MeV), including the major allowed transition components together with direct components of HLSPCs. Spectroscopic amplitudes of the HLSPCs are deduced by fitting the angular distributions of the ground and the $j$-forbidden excited states simultaneously. The present analysis demonstrates for the first time that information about HLSPCs in atomic nuclei can be obtained from analysis of $(p,d)$ reactions.

arXiv comment7 pages, 5 figures

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