doi:10.1088/1757-899X/757/1/012012

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Publication Date

Sun Mar 01 2020

Journal Name

Iop Conference Series: Materials Science And Engineering

Volume

757

DOI

10.1088/1757-899X/757/1/012012

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Spectral fluctuations in 24Mg nucleus using the framework of the nuclear shell model

Thoraia A

Adel K

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AbstractRandom matrix theory is used to study the chaotic properties in nuclear energy spectrum of the 24Mg nucleus. The excitation energies (which are the main object of this study) are obtained via performing shell model calculations using the OXBASH computer code together with an effective interaction of Wildenthal (W) in the isospin formalism. The 24Mg nucleus is assumed to have an inert 16O core with 8 nucleons (4protons and 4neutrons) move in the 1d5/2, 2s1/2 and 1d3/2 orbitals. The spectral fluctuations are studied by two statistical measures: the nearest neighbor level spacing distribution <italic>P(s)</italic> and the Dyson-Mehta statistics (∆3 statistics). For calculations with the full diagonalization of the Hamiltonian, the spectral fluctuations are found to be in agreement with the Gaussian orthogonal ensemble of random matrices.

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