Level density of 2+ states in 40Ca from high energy-resolution (p,p') experiments
I. Usman (1,2), Z. Buthelezi (1), J. Carter (2), G. R. J. Cooper (3),, R. W. Fearick (4), S. V. F\"ortsch (1), H. Fujita (1,2), Y. Kalmykov (5), P., von Neumann-Cosel (5), R. Neveling (1), I. Poltoratska (5), A. Richter (5,6),, A. Shevchenko (5), E. Sideras-Haddad (2)

TL;DR
This study measures the level density of 2+ states in 40Ca using high-resolution (p,p') scattering data, applying fluctuation analysis and wavelet transforms, and compares results with theoretical models.
Contribution
It introduces a novel fluctuation analysis method combined with wavelet transforms to extract level densities from high-energy resolution scattering data.
Findings
Level density of 2+ states in 40Ca determined in the ISGQR region.
Quasi-free scattering background found to be minimal.
Experimental results compared with phenomenological and microscopic models.
Abstract
The level density of 2+ states in 40Ca has been extracted in the energy region of the isoscalar giant quadrupole resonance (ISGQR) from a fluctuation analysis of high energy-resolution p,p') data taken at incident energies of 200 MeV at the K600 magnetic spectrometer of iThemba LABS, South Africa. Quasi-free scattering cross sections were calculated to estimate their role as a background contribution to the spectra and found to be small. The shape of the background was determined from the discrete wavelet transform of the spectra using a biorthogonal wavelet function normalized at the lowest particle separation threshold. The experimental results are compared to widely used phenomenological and microscopic models.
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