Configuration mixing effects in neutron-rich carbon isotopes

TL;DR

This paper uses shell model calculations to analyze how configuration mixing influences the energy levels and electromagnetic transition probabilities in neutron-rich carbon isotopes, improving agreement with experimental data.

Contribution

It introduces an expanded model space including full sd orbitals for better accuracy in describing neutron-rich carbon isotopes.

Findings

Energy levels in $^{17}$C are significantly improved with full sd space.

Configuration mixing affects $B(E2)$ values in $^{16-20}$C.

Enhanced model space leads to better agreement with experimental data.

Abstract

Shell model calculations are done to study the structure of neutron-rich carbon isotopes. For both even-A and odd-A neutron-rich carbon isotopes, the energy levels are strongly affected by the configuration mixing of valence neutrons. The calculated energy levels in the nucleus $^{17}$C are significantly improved compared with experimental values when the model space of the three valence neutrons is enlarged from pure $\nu(0d_{5/2})^{3}$ configuration to full $sd$ space. We also investigate the configuration mixing effect on the $B(E2)$ values in even-even nuclei $^{16-20}$C.