Nilsson orbitals in quantum superintegrable systems
Περίληψη
Recent studies [1] of the valence proton-neutron interaction through certain double differences of binding energies suggest that Nilsson orbitals with ΔK[ΔNΔn_zΔΛ] = 0[110] are responsible for large overlaps of wave functions in heavy deformed nuclei. We show that pairs of orbitals of this kind belong to neighboring irreducible representations of appropriate deformed U(3) algebras [2], being interconnected by deformed creation and annihilation operators. These deformed U(3) algebras correspond to oscillators with rational ratios of frequencies, which are examples of quantum superintegrable systems [3].
Λεπτομέρειες άρθρου
- Πώς να δημιουργήσετε Αναφορές
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Blatzios, V., & Bonatsos, D. (2020). Nilsson orbitals in quantum superintegrable systems. Annual Symposium of the Hellenic Nuclear Physics Society, 19, 27–32. https://doi.org/10.12681/hnps.2512
- Τεύχος
- Τόμ. 19 (2011): HNPS2011
- Ενότητα
- Oral contributions
Αναφορές
R. B. Cakirli, K. Blaum, and R. F. Casten, Phys. Rev. C 82, 061304(R) (2010).
D. Bonatsos, C. Daskaloyannis, P. Kolokotronis and D. Lenis, hep-th/9411218.
D. Bonatsos, C. Daskaloyannis and K. Kokkotas, Phys. Rev. A 50, 3700 (1994).
