By Jutta Escher, SYMPOSIUM ON COMPUTATIONAL AND GROUP-THE, J. P. Draayer, Octavio Castanos, Jorge G. Hirsch, Stuart Pittel, Gergana Stoitcheva
The aim of this February 2003 symposium was once to honor the achievements of Professor Jerry P. Drayer on his 60th birthday, and to debate computational and algebraic techniques to the nuclear many-body challenge. The papers in those court cases as a result have basic subject matters of SU(3) and symplectic versions and their implications, random Hamiltonians, pseudo-spin in nuclear physics, collective phenomena, computational physics and large-scale types, and mathematical physics. specific issues contain a toy version for QCD at high and low temperatures and vacuum, and subject, antimatter and the matter of chilly compression. The complaints comprise summaries of papers provided on the poster consultation.
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Phys. A 601 (1996) 89. (3) T. P. Draayer, D. G. Hirsch Microscopic description of the scissors mode and its fragmentation. Phys. Rev. C 57 (1998) 1233. (4) D. Rompf, T. P. Draayer, W. G. Hirsch. Towards understanding the Scissors mode in the Pseudo SU(3) Model - Part I: Phenomenology. Phys. Rev. C 57 (1998) 1703. G. Hirsch, 0. O. Hess, 0. Civitarese, D. Troltenier, T. P. Draayer, D. Rompf and Y. Sun. Shell model calcu- 12 lations for heavy deformed nuclei. Czech. Journ. Phys. 48 (1998) 183. P. Draayer, T.
Draayer, Nucl. Phys. A 690,409 (2001); ibid. Nucl. Phys. A 697,655 (2002). O. gov Partial dynamical symmetry (PDS) extends and complements the concepts of exact and dynamical symmetry. It allows one to remove undesired constraints from an algebraic theory, while preserving some of the useful aspects of a dynamical symmetry, and t o study the effects of symmetry breaking in a controlled manner. An example of a PDS in an interacting fermion system is presented. The associated PDS Hamiltonians are closely related with a realistic quadrupole-quadrupole interaction and provide new insights into this important interaction.
In terms of a SU(3) basis, it is shown that the ground-state band is built from the S = 0 leading irrep which couples strongly to the leading S = 1 irreps in the proton and neutron subspaces. Furthermore, the quadrupole-quadrupole interaction was found to give dominant weights to the so-called “stretched” coupled representations, which supports a strong SU(3)-dictated truncation of the model space. The interplay between the quadrupole-quadrupole and the spin-orbit interaction has been studied in extensive shell-model calculations18 as well as in the SU(3) basis14.