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Published February 15, 2000 | public
Journal Article Open

Shell model Monte Carlo investigation of rare earth nuclei

Abstract

We utilize the shell model Monte Carlo method to study the structure of rare earth nuclei. This work demonstrates the first systematic full oscillator shell with intruder calculations in such heavy nuclei. Exact solutions of a pairing plus quadrupole Hamiltonian are compared with the static path approximation in several dysprosium isotopes from A=152 to 162, including the odd mass A=153. Some comparisons are also made with Hartree-Fock-Bogoliubov results from Baranger and Kumar. Basic properties of these nuclei at various temperatures and spin are explored. These include energy, deformation, moments of inertia, pairing channel strengths, band crossing, and evolution of shell model occupation numbers. Exact level densities are also calculated and, in the case of 162Dy, compared with experimental data.

Additional Information

©2000 The American Physical Society Received 17 December 1998; revised 21 October 1999; published 14 February 2000 J.W. is very grateful to T.L. Khoo, K. Langanke, W. Nazarewicz, and P. Vogel for useful discussions. This work was supported in part by the National Science Foundation, Grant Nos. PHY-9722428, PHY-9420470, and PHY-9412818. This work was also supported in part through Grant No. DE-FG02-96ER40963 from the U.S. Department of Energy. Oak Ridge National Laboratory (ORNL) is managed by Lockheed Martin Energy Research Corp. for the U.S. Department of Energy under Contract No. DE-AC05-96OR22464. We also acknowledge use of the CACR parallel computer system operated by Caltech and use of MHPCC SP2 systems.

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August 21, 2023
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