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 complaints as a result have basic issues of SU(3) and symplectic types and their implications, random Hamiltonians, pseudo-spin in nuclear physics, collective phenomena, computational physics and large-scale versions, and mathematical physics. specific issues comprise a toy version for QCD at high and low temperatures and vacuum, and topic, antimatter and the matter of chilly compression. The complaints comprise summaries of papers offered on the poster consultation.
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Extra info for Computational and Group-Theoretical Methods in Nuclear Physics: proceedings of the Symposium in honor of Jerry P. Draayer's 60th birthday: 18-21 February 2003, Playa del Carmen, Mexico
C 0 I . 4 State Number Figure 2. The relative deviations from the exact energy eigenvalues for the 1D box plus HO potential (Figure 1) with w = 16, L = r / 2 , h/2n = m = 1. The open circles represent deviation of the exact energy eigenvalue from the corresponding harmonicoscillator eigenvalue (1- Eh,,/Eezact), the solid diamonds are the corresponding relative deviation from the energy spectrum of a particle in a 1D box, and the solid squares are the first-order perturbation theory estimates using particle in a 1D box wavefunctions.
Draayer, 0. O. Hess. Reduced Matrix Elements for the Leading Spin Zero States in the SU(3) Scheme. Rev. Mex. Fis. 41 (1995) 181. (2) D. P. G. Hirsch. Correlations between the quadrupole deformation, B(E2;01 -+21) value, and total GT+ strength Nucl. 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.
Perhaps a mixed-mode analysis of the type suggested can help to sort out dominant structures. Initial results o ~ 28 n -76 3 E -79 * W p -82 Q) c Q) -85 4d (ZI 5 -88 m S 3 E -91 -94 -2000 4000 10000 16000 22000 28000 Number of Basis States Figure 5. The graph shows the calculated ground-state energy for 24Mg as a function of various model spaces. SM(n) denotes a spherical shell model calculation with up to n particles outside of the ds,z sub-shell. 5% increase in the dimensionality of the model space).