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

TL;DR

This study demonstrates that high-lying single-particle components in light nuclei can be extracted from $(p,d)$ reaction analyses, revealing new insights into nuclear structure previously considered inaccessible.

Contribution

First to show that $(p,d)$ reactions can be used to determine high-lying single-particle components in atomic nuclei.

Findings

HLSPCs can be deduced from angular distribution fits.

Coupled reaction channels analysis is effective for this purpose.

Provides new method for nuclear structure investigation.

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} (${\tfrac{5}{2}}^-$, 4.32 MeV), \nuc{23}{Mg} (${\tfrac{7}{2}}^+$, 2.05 MeV), \nuc{27}{Si} (${\tfrac{7}{2}}^+$, 2.16 MeV) and \nuc{39}{Ca} (${\tfrac{9}{2}}^-$, 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.