Quantum spectra and classical orbits in the pairing model: A simple connection

1992 ◽  
Vol 46 (5) ◽  
pp. 2102-2105 ◽  
Author(s):  
M. L. Cescato ◽  
M. Kyotoku ◽  
M. C. Nemes ◽  
M. Trindade dos Santos
Keyword(s):  
Pairing Model ◽  
Classical Orbits ◽  
Quantum Spectra

scholarly journals From quantum spectra to classical orbits: the rectangular billiards

2004 ◽  
Vol 53 (8) ◽  
pp. 2450
Author(s):  
Lu Jun ◽  
Du Meng-Li
Keyword(s):  
Classical Orbits ◽  
Quantum Spectra

scholarly journals Two-dimensional quantum spectra and classical orbits of isosceles- right triangular billiards

2012 ◽  
Vol 61 (22) ◽  
pp. 220301
Author(s):  
Liu Xiang-Long ◽  
Zhu Man-Zuo ◽  
Lu Lu
Keyword(s):  
Two Dimensional ◽  
Classical Orbits ◽  
Quantum Spectra

Quantum Spectra and Classical Orbits in Two-Dimensional Equilateral Triangular Billiards

2004 ◽  
Vol 22 (1) ◽  
pp. 9-11 ◽  
Author(s):  
Lin Sheng-Lu ◽  
Gao Feng ◽  
Hong Zheng-Pin ◽  
Du Meng-Li
Keyword(s):  
Two Dimensional ◽  
Classical Orbits ◽  
Quantum Spectra

scholarly journals np-Pair Correlations in the Isovector Pairing Model

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1405
Author(s):  
Feng Pan ◽  
Yingwen He ◽  
Lianrong Dai ◽  
Chong Qi ◽  
Jerry P. Draayer
Keyword(s):  
Binding Energy ◽  
Occupation Number ◽  
Mean Field ◽  
Energy Difference ◽  
Binding Energies ◽  
Pair Correlations ◽  
Isospin Symmetry Breaking ◽  
Pairing Model ◽  
Proton Pairing ◽  
Spin Basis

A diagonalization scheme for the shell model mean-field plus isovector pairing Hamiltonian in the O(5) tensor product basis of the quasi-spin SUΛ(2) ⊗ SUI(2) chain is proposed. The advantage of the diagonalization scheme lies in the fact that not only can the isospin-conserved, charge-independent isovector pairing interaction be analyzed, but also the isospin symmetry breaking cases. More importantly, the number operator of the np-pairs can be realized in this neutron and proton quasi-spin basis, with which the np-pair occupation number and its fluctuation at the J = 0+ ground state of the model can be evaluated. As examples of the application, binding energies and low-lying J = 0+ excited states of the even–even and odd–odd N∼Z ds-shell nuclei are fit in the model with the charge-independent approximation, from which the neutron–proton pairing contribution to the binding energy in the ds-shell nuclei is estimated. It is observed that the decrease in the double binding-energy difference for the odd–odd nuclei is mainly due to the symmetry energy and Wigner energy contribution to the binding energy that alter the pairing staggering patten. The np-pair amplitudes in the np-pair stripping or picking-up process of these N = Z nuclei are also calculated.

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