87,716 research outputs found
Quantum Group SU_{q}(2) and Pairing in Nuclei
A scheme for treating the pairing of nucleons in terms of generators of
Quantum Group SU_{q}(2) is presented. The possible applications to nucleon
pairs in a single orbit, multishell case, pairing vibrations and
superconducting nuclei are discussed. The formalism for performing BCS
calculations with q-deformed nucleon pairs is constructed and the role played
by deformation parameter q analyzed in the context of nucleons in a single
orbit and for Sn Isotopes.Comment: 6 Pages, No figures, To be published in Proceedings of International
Conference "Geometrical Aspects of Quantum Fields", Londrina PR, April 2000,
World Scientifi
Revelation of double magicity in N=Z nuclei in the rp-process region
In rapid-proton capture (rp-process), N=Z nuclei above Ni are understood to
act as waiting-point nuclei. The N=Z nuclei 68Se, 72Kr, 76Sr and 80Zr among
others are known to give rise to a large-energy x-ray flux and peaks in
abundances of these nuclei synthesized in the astrophysical rp-process.
Investigating the experimental isotope shifts in Kr isotopes near the proton
drip-line within the framework of the deformed Relativistic Hartree-Bogoliubov
theory, we have discovered that N=Z rp-process nuclei 68Se, 72Kr, 76Sr and 80Zr
exhibit large shell gap both at the proton and neutron numbers in the deformed
space with the consequence that pairing correlations for protons and neutrons
vanish. This lends a doubly magic character to these nuclei. A significant
number of nuclei in this region are also shown to exhibit neutron magicity at
N=34, 36, 38, and 40 in the deformed space. A unique case of concomitance of
the double magicity and the shape-coexistence is found for 68Se.Comment: 10 pages, 4 figures; Invited contribution presented at the
International Symposium on Exotic Nuclei, EXON 2009, Sochi, Russia, Sept.
28-Oct. 2, 200
Genuine Four Tangle for Four Qubit States
We report a four qubit polynomial invariant that quantifies genuine four-body
correlations. The four qubit invariants are obtained from transformation
properties of three qubit invariants under a local unitary on the fourth qubit.Comment: 03 pages, This short communication is a contribution to the
proceedings of QCMC 2012 held in Vienna, Austria, July 30th to August 3rd
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