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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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yBiOT5QBVTCNdQwCFASd
Spectral fluctuations in <sup>24</sup>Mg nucleus using the framework of the nuclear shell model
Thoraia A Abdul Hussian
Adel K Hamoudi
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Abstract<p>Random matrix theory is used to study the chaotic properties in nuclear energy spectrum of the <sup>24</sup>Mg 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 <sup>24</sup>Mg nucleus is assumed to have an inert <sup>16</sup>O core with 8 nucleons (4protons and 4neutrons) move in the 1d<sub>5/2</sub>, 2s<sub>1/2</sub> and 1d<sub>3/2</sub> 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 (∆<sub>3</sub> 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.</p>
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