# Wavelet signatures of $K$-splitting of the Isoscalar Giant Quadrupole Resonance in deformed nuclei from high-resolution (p,p$'$) scattering off $^{146,148,150}$Nd

## TL;DR

This study investigates the fine structure of the Isoscalar Giant Quadrupole Resonance in Nd isotopes using high-resolution proton scattering and wavelet analysis, revealing characteristic energy scales linked to nuclear deformation.

## Contribution

It introduces a wavelet analysis method to identify energy scales in the ISGQR spectra of deformed nuclei, supported by Skyrme RPA calculations, advancing understanding of nuclear resonance structures.

## Key findings

- Characteristic energy scales correspond to K=0, 1, 2 components.
- Scales are consistent with Skyrme RPA predictions.
- Deformation influences the fine structure of the resonance.

## Abstract

The phenomenon of fine structure of the Isoscalar Giant Quadrupole Resonance (ISGQR) has been studied with high energy-resolution proton inelastic scattering at iThemba LABS in the chain of stable even-mass Nd isotopes covering the transition from spherical to deformed ground states. A wavelet analysis of the background-subtracted spectra in the deformed 146,148,150Nd isotopes reveals characteristic scales in correspondence with scales obtained from a Skyrme RPA calculation using the SVmas10 parameterization. A semblance analysis shows that these scales arise from the energy shift between the main fragments of the K = 0, 1 and K = 2 components.