Quantum Algebraic Description of the Pairing Correlations in a Single-j Nuclear Shell

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Quantum Algebraic Description of the Pairing Correlations in a Single-j Nuclear Shell (EN)

Daskaloyannis, C.
Faessler, Amand
Bonatsos, Dennis

info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

2020-02-19


Pairing in a single-j shell is described in terms of two Q-oscillators, one describing the J=0 fermion pairs and the other corresponding to the J≠0 pairs, the deformation parameter Τ = lnQ being related to the inverse of the size of the shell. Using these two oscillators an SUQ(2) algebra is constructed, while a pairing Hamiltonian giving the correct energy eigenvalues up to terms of first order in the small parameter can be written in terms of the Casimir operators of the algebras appearing in the UQ(2) > UQ(1) chain, thus exhibiting a quantum algebraic dynamical symmetry. The additional terms introduced by the Q-oscillator are found to improve the agreement with the experimental data for the neutron pair separation energies of the Sn isotopes, with no extra parameter introduced. (EN)


Annual Symposium of the Hellenic Nuclear Physics Society

English

Hellenic Nuclear Physics Society (HNPS) (EN)


2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 5 (1994): HNPS1994; 1-13 (EL)
HNPS Advances in Nuclear Physics; Vol. 5 (1994): HNPS1994; 1-13 (EN)

Πνευματική ιδιοκτησία (c) 2020 Dennis Bonatsos, C. Daskaloyannis, Amand Faessler (EL)




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