Nuclear Charge Radii of Silicon Isotopes

Area of Science:

• Nuclear Physics
• Atomic Physics
• Computational Physics

Background:

• Accurate nuclear charge radii are crucial for understanding nuclear structure and the nuclear equation of state.
• The symmetry energy slope (L) is a key parameter in nuclear physics, influencing the properties of neutron-rich nuclei.

Purpose of the Study:

• To precisely determine the nuclear charge radius of silicon-32 using collinear laser spectroscopy.
• To compare experimental data with state-of-the-art ab initio nuclear theory calculations.
• To constrain the symmetry energy slope (L) by analyzing the mirror pair ^{32}Ar-^{32}Si.

Main Methods:

• Collinear laser spectroscopy was employed to measure the nuclear charge radius of ^{32}Si.
• Ab initio nuclear lattice effective field theory, valence-space in-medium similarity renormalization group, and mean field calculations were used for theoretical comparisons.

Main Results:

• The nuclear charge radius of ^{32}Si was experimentally determined.
• The experimental result was compared against various theoretical models, highlighting their strengths and limitations.
• The determined charge radius, combined with that of ^{32}Ar, suggests a symmetry energy slope L ≤ 60 MeV.

Conclusions:

• The measurement of the ^{32}Si nuclear charge radius provides a critical benchmark for nuclear many-body theories.
• The results offer valuable constraints on the symmetry energy slope (L), consistent with other experimental observations.
• This study advances our understanding of nuclear structure and the equation of state for nuclear matter.