${}^{50}$Ti($d$,$p$)${}^{51}$Ti, single neutron energies in the $N=29$ isotones and the $N=32$ subshell closure

Abstract

A measurement of the ${}^{50}$Ti($d$,$p$)${}^{51}$Ti reaction at 16 MeV was performed using a Super Enge Split Pole Spectrograph to measure the magnitude of the $N=32$ subshell gap in Ti. Seven states were observed that had not been observed in previous ($d$,$p$) measurements, and the \textit{L} transfer values for six previously measured states were either changed or measured for the first time. The results were used to determine single neutron energies for the $p_{3/2}$, $p_{1/2}$ and $f_{5/2}$ orbitals. The resulting single neutron energies in ${}^{51}$Ti confirm the existence of the $N=32$ gap in Ti. These single neutron energies and those from previous measurements in ${}^{49}$Ca, ${}^{53}$Cr and ${}^{55}$Fe are compared to values from a covariant density functional theory calculation.

17 pages, 6 figures

References in corpus (1)

• Building relativistic mean field models for finite nuclei and neutron stars

Cited by in corpus (6)

• Experimental study of excited states of ${}^{62}$Ni via one-neutron $(d,p)$ transfer up to the neutron-separation threshold and characteristics of the pygmy dipole resonance states
• ${}^{54}$Fe($d$,$p$)${}^{55}$Fe and the evolution of single neutron energies in the $N=29$ isotones
• The CeBrA demonstrator for particle-$\gamma$ coincidence experiments at the FSU Super-Enge Split-Pole Spectrograph
• Nuclear structure and direct reaction studies in particle-$\gamma$ coincidence experiments at the FSU John D. Fox Superconducting Linear Accelerator Laboratory
• $g_{9/2}$ neutron strength in the $N=29$ isotones and the ${}^{52}$Cr($d,p$)${}^{53}$Cr reaction
• Experimental study of ${}^{53}$Cr via the $(d,p\gamma )$ reaction