Study of transfer reaction channel in $^{12}$C + $^{27}$Al system

TL;DR

This study investigates the 1p transfer channel in the $^{27}$Al($^{12}$C, $^{11}$B)$^{28}$Si reaction at various energies, analyzing angular distributions and extracting spectroscopic factors to compare with shell model predictions.

Contribution

It provides new experimental data and analysis of transfer reaction channels in $^{12}$C + $^{27}$Al, including spectroscopic strengths and comparison with theoretical shell model calculations.

Findings

Spectroscopic strengths and factors were extracted for five states.

Angular distributions were analyzed using DWBA calculations.

Comparison with shell model calculations was performed.

Abstract

The 1p transfer channel in the $^{27}$Al($^{12}$C, $^{11}$B)$^{28}$Si reaction has been studied at E$_{lab}$ = 73, 81 and 85 MeV. The finite range distorted wave Born approximation calculations have been performed using phenomenological optical model potential to analyze the angular distributions for 3 transitions populating the 0.0, 1.78 and 4.62 MeV states of $^{28}$Si and 2 transitions populating the 2.12 and 4.44 MeV states of $^{11}$B via the $^{27}$Al($^{12}$C, $^{11}$B)$^{28}$Si reaction. The spectroscopic strengths as well as spectroscopic factors have been extracted for all the five states. The extracted strength values are compared with shell model calculations.