Charge radius of neutron deficient $^{\mathrm{54}}$Ni and constraints on slope parameter $L$ in the neutron equation of state
ORAL
Abstract
The charge radius of $^{\mathrm{54}}$Ni was determined using collinear laser spectroscopy at the BEam COoling and LAser spectroscopy facility. The $^{\mathrm{54}}$Ni radius is critical to determine the slope $L$ of symmetry energy in the nuclear equation of state. The linear correlation between the difference of charge radii of mirror nuclei $\Delta R_{mirr}$ and $L$ is used to set constraint on $L$ using the charge radii of proposed $^{\mathrm{54}}$Ni and its mirror partner $^{\mathrm{54}}$Fe, whose radius is also known. Details of the experiment and the progress of data analysis will be discussed.
*This work was supported in part by grants NSF No. PHY-15-65546 and DFG SFB1245
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