Regular–chaos transition of the energy spectrum and electromagnetic transition intensities in 44V nucleus using the framework of the nuclear shell model

Murad

2018

ijs

Section: Level Spacing Distributionsupporting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Statistical Study of Nuclear Energy Levels for 6 Particles in The Nuclear N82 Model Space

Murad

2018

ijs

“…The examination of their fluctuations would enhance the universal spectral investigation as well as assist as an extra sign of disorder in the quantum system. In the previous investigations [17][18][19][20][21][22] we adopted the context of the RMT together with the nuclear shell model to explore the physical characteristics of chaos in nuclear spectra, electromagnetic probabilities, and moments for various nuclei located in different shell model spaces. As a whole, the results were very good depicted by the GOE limit.…”

Section: Introductionmentioning

confidence: 99%

Statistical Fluctuations of Energy Spectra in the Isobar A = 68 Nuclei

Alabas²

2021

eijs

Statistical fluctuations of nuclear energy spectra for the isobar A = 68 were examined by means of the random matrix theory together with the nuclear shell model. The isobar A = 68 nuclei are suggested to consist of an inert core of 56Ni with 12 nucleons in f5p-space (2p3/2, 1f5/2 and 2p1/2 orbitals). The nuclear excitation energies, required by this work, were obtained through performing f5p-shell model calculations using the isospin formalism f5pvh interaction with realistic single particle energies. All calculations of the present study were conducted using the OXBASH code. The calculated level densities were found to have a Gaussian shape. The distributions of level spacing P(s) and statistic for the considered classes of states, obtained with full Hamiltonian of f5pvh (absence of the off-diagonal Hamiltonian) calculations, showed a chaotic (regular) behavior and coincided well with the distribution of Gaussian orthogonal ensemble (Poisson). Moreover, these distributions were independent of spin (J) and isospin (T)

“…The statistical fluctuations were in very well accordance with the GOE. Furthermore, they demonstrated independency on spins J and isospin T. In [25], the work was repeated as in [22] but this time we considered the higher model space of N82 and chose the nucleus 138 Ba as case study, where the interaction of N82K was adopted in the calculations [26].…”

mentioning

confidence: 99%

Chaotic features of energy spectrum in 68Ge Nucleus Using the Nuclear Shell Model

Alabas¹,

2020

IJP

Chaotic features of nuclear energy spectrum in 68Ge nucleus are investigated by nuclear shell model. The energies are calculated through doing shell model calculations employing the OXBASH computer code with effective interaction of F5PVH. The 68Ge nucleus is supposed to have an inert core of 56Ni with 12 nucleons (4 protons and 8 neutrons) move in the f5p-model space ( and ). The nuclear level density of considered classes of states is seen to have a Gaussian form, which is in accord with the prediction of other theoretical studies. The statistical fluctuations of the energy spectrum (the level spacing P(s) and the Dyson-Mehta (or statistics) are well described by the Gaussian orthogonal ensemble (GOE). Furthermore, these fluctuations are independent on the spin J.