Level Densities from Proton Resonances

Journal Article · Tue Aug 26 04:00:00 EDT 2003 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1619726· OSTI ID:20632590

Agvaanluvsan, U; Mitchell, G E ^[1]; Shriner, Jr, J F ^[2]; Pato, M P ^[3]

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1. North Carolina State University, Raleigh, NC (United States)
2. Tennessee Technological University, Cookeville, TN (United States)
3. Instituto de Fisica, Universidade Sao Paulo, C.P. 66318, 05315-970 Sao Paulo (Brazil)

Detailed information about nuclear level densities is obtained by direct counting of individual resonances. A collection of individual resonances with the same spin and parity follows the predictions of the Gaussian Orthogonal Ensemble (GOE) version of Random Matrix Theory (RMT). RMT predictions are used to determine the corrections due to the imperfections in the measurement. We derived a general expression for the probability distribution for imperfect eigenvalue sequences. The missing level correction for the number of levels is obtained by two methods, the newly developed eigenvalue (or spacing) analysis and the more traditional reduced width analysis. Proton resonances in three nuclei are analyzed using the two methods. Improved values for the level densities are obtained, and the parity dependence of level density is considered.

• OSTI ID: 20632590
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 680; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTRIBUTION FUNCTIONS
EIGENVALUES
ENERGY-LEVEL DENSITY
GAUSS FUNCTION
PARITY
PROBABILITY
RANDOMNESS
RESONANCE
SPIN
TITANIUM
VANADIUM