Authors
Abstract
The atomic nucleus is a complex many-body system that consists of two types of fermion (neutron and proton). They are in the strong interaction. The statistical properties of energy levels and influence of strong force between these fermions are well described by random matrix theory. Resonance of energy levels depends on the Hamiltonian symmetry placed in one of the GOE, GUE and GSE ensembles or in the integrable system in a Poissonian ensemble. We can study resonance of energy levels of one system with eigenvalues of the Hamiltonian. This paper by using the nuclear shell model investigate the influence of strong force on the nuclear structure in Calcium and Titanium isotopes with quantum chaos theory. Difference between these isotopes is in their Valance particles. Investigation the energy levels of them is show that behavior of the nuclear system in Ti48 is very close to GOE ensemble but in Ca48 is a little bit far from this behavior
Keywords
2. W Satuła and W Nazarewicz. Physica Scripta 91, 2 (2016) 023013.
3. N Takigawa and K Washiyama, “Fundamentals of Nuclear Physics”, Springer Japan (2017) 65.
4. S Borsanyi et al., Science 347 6229 (2015) 1452.
5. J M G Gómez et al., Physics Reports 499, 4 (2011) 103.
6. L Rafat-Motavalli, S H Miri-Hakimabad, and E Hoseinian-Azghadi, Iranian Journal of Physics Research 18, 1 (2018) 39.
7. N Shimizu et al., Physics Letters B 753 (2016) 13.
8. B A Brown and W D M Rae, Nuclear Data Sheets 120 (2014) 115.
9. B A Brown. Progress in Particle and Nuclear Physics 47, 2 (2001) 517.
10. E Caurier et al., Reviews of Modern Physics 77, 2 (2005) 427.
11. N Shimizu et al., Physica Scripta 92, 6 (2017) 063001.
12. F Haake, “Quantum Signatures of Chaos”, Springer (2010).
13. L D'Alessio et al., Advances in Physics 65, 3 (2016) 239.
14. R A Molina et al., Physical Review E 93, 2 (2016) 022414.
15. D G Green et al., Physical Review A 93, 2 (2016) 022703.
16. L Muñoz et al., Physical Review C 95, 1 (2017) 014317.
17. M Aßmann et al., Nature Materials 15, 7 (2016) 741.
18. A V Viatkina, M G Kozlov, and V V Flambaum, Physical Review A 95, 2 (2017) 022503.
19. F Borgonovi et al., Physics Reports 626 (2016) 1.
20. R Riser, V A Osipov, and E Kanzieper. Physical Review Letters 118, 20 (2017) 204101.
21. A Frisch et al., Nature 507, 7493 (2014) 475.
)