Nuclear Deformation at Finite Temperature
Abstract
Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. Here, we present a method to analyze nuclear deformations at finite temperature in a framework that preserves rotational invariance. The auxiliary-field Monte-Carlo method is used to generate the statistical ensemble and calculate the probability distribution associated with the quadrupole operator. Applying the technique to nuclei in the rare-earth region, we identify model-independent signatures of deformation and find that deformation effects persist to higher temperatures than the spherical-to-deformed shape phase-transition temperature of mean-field theory.
- Authors:
-
- Yale Univ., New Haven, CT (United States). Center for Theoretical Physics, Sloane Physics Lab.
- Univ. of Washington, Seattle, WA (United States). Dept. of Physics and Inst. of Nuclear Theory
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Yale Univ., New Haven, CT (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1565374
- Alternate Identifier(s):
- OSTI ID: 1181046
- Grant/Contract Number:
- AC05-00OR22725; AC02-05CH11231; FG02-96ER40963; SC0008499; FG02-00ER411132; FG02-91ER40608
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 113; Journal Issue: 26; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics
Citation Formats
Alhassid, Y., Gilbreth, C. N., and Bertsch, G. F. Nuclear Deformation at Finite Temperature. United States: N. p., 2014.
Web. doi:10.1103/physrevlett.113.262503.
Alhassid, Y., Gilbreth, C. N., & Bertsch, G. F. Nuclear Deformation at Finite Temperature. United States. https://doi.org/10.1103/physrevlett.113.262503
Alhassid, Y., Gilbreth, C. N., and Bertsch, G. F. Tue .
"Nuclear Deformation at Finite Temperature". United States. https://doi.org/10.1103/physrevlett.113.262503. https://www.osti.gov/servlets/purl/1565374.
@article{osti_1565374,
title = {Nuclear Deformation at Finite Temperature},
author = {Alhassid, Y. and Gilbreth, C. N. and Bertsch, G. F.},
abstractNote = {Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. Here, we present a method to analyze nuclear deformations at finite temperature in a framework that preserves rotational invariance. The auxiliary-field Monte-Carlo method is used to generate the statistical ensemble and calculate the probability distribution associated with the quadrupole operator. Applying the technique to nuclei in the rare-earth region, we identify model-independent signatures of deformation and find that deformation effects persist to higher temperatures than the spherical-to-deformed shape phase-transition temperature of mean-field theory.},
doi = {10.1103/physrevlett.113.262503},
journal = {Physical Review Letters},
number = 26,
volume = 113,
place = {United States},
year = {Tue Dec 30 00:00:00 EST 2014},
month = {Tue Dec 30 00:00:00 EST 2014}
}
Web of Science
Works referenced in this record:
Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model
journal, October 1997
- Nakada, H.; Alhassid, Y.
- Physical Review Letters, Vol. 79, Issue 16
Universal Features of Shape Transitions in Hot Rotating Nuclei
journal, August 1986
- Alhassid, Y.; Levit, S.; Zingman, J.
- Physical Review Letters, Vol. 57, Issue 5
Shell Model Monte Carlo Studies of γ-Soft Nuclei
journal, August 1996
- Alhassid, Y.; Bertsch, G. F.; Dean, D. J.
- Physical Review Letters, Vol. 77, Issue 8
Static path approximation in deformed nuclei
journal, June 1989
- Lauritzen, B.; Bertsch, G.
- Physical Review C, Vol. 39, Issue 6
Crossover from Vibrational to Rotational Collectivity in Heavy Nuclei in the Shell-Model Monte Carlo Approach
journal, January 2013
- Özen, C.; Alhassid, Y.; Nakada, H.
- Physical Review Letters, Vol. 110, Issue 4
Quasi-SU(3) truncation scheme for odd–even and odd–odd sd-shell nuclei
journal, January 2002
- Vargas, C. E.; Hirsch, J. G.; Draayer, J. P.
- Nuclear Physics A, Vol. 697, Issue 3-4
Calculation of Partition Functions
journal, July 1959
- Hubbard, J.
- Physical Review Letters, Vol. 3, Issue 2
Monte Carlo evaluation of path integrals for the nuclear shell model
journal, October 1993
- Lang, G. H.; Johnson, C. W.; Koonin, S. E.
- Physical Review C, Vol. 48, Issue 4
Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
journal, January 2010
- Delaroche, J. -P.; Girod, M.; Libert, J.
- Physical Review C, Vol. 81, Issue 1
Fission Barriers of Compound Superheavy Nuclei
journal, May 2009
- Pei, J. C.; Nazarewicz, W.; Sheikh, J. A.
- Physical Review Letters, Vol. 102, Issue 19
Quantum Monte Carlo Methods for Nuclei at Finite Temperature
journal, May 2001
- Alhassid, Y.
- International Journal of Modern Physics B, Vol. 15, Issue 10n11
Monte Carlo shell model for atomic nuclei
journal, January 2001
- Otsuka, T.; Honma, M.; Mizusaki, T.
- Progress in Particle and Nuclear Physics, Vol. 47, Issue 1
Nuclear Shapes Studied by Coulomb Excitation
journal, December 1986
- Cline, D.
- Annual Review of Nuclear and Particle Science, Vol. 36, Issue 1
Practical solution to the Monte Carlo sign problem: Realistic calculations of
journal, January 1994
- Alhassid, Y.; Dean, D. J.; Koonin, S. E.
- Physical Review Letters, Vol. 72, Issue 5
Spin Projection in the Shell Model Monte Carlo Method and the Spin Distribution of Nuclear Level Densities
journal, October 2007
- Alhassid, Y.; Liu, S.; Nakada, H.
- Physical Review Letters, Vol. 99, Issue 16
Intrinsic Quadrupole Moments and Shapes of Nuclear Ground States and Excited States
journal, January 1972
- Kumar, Krishna
- Physical Review Letters, Vol. 28, Issue 4
Nuclear shape transition at finite temperature in a relativistic mean field approach
journal, September 2000
- Agrawal, B. K.; Sil, Tapas; De, J. N.
- Physical Review C, Vol. 62, Issue 4
New “USD” Hamiltonians for the shell
journal, September 2006
- Brown, B. Alex; Richter, W. A.
- Physical Review C, Vol. 74, Issue 3
Particle-Number Reprojection in the Shell Model Monte Carlo Method: Application to Nuclear Level Densities
journal, November 1999
- Alhassid, Y.; Liu, S.; Nakada, H.
- Physical Review Letters, Vol. 83, Issue 21
Temperature-induced deformation in
journal, June 1986
- Goodman, Alan L.
- Physical Review C, Vol. 33, Issue 6
Thermal shape fluctuation effects in the description of hot nuclei
journal, September 2003
- Martin, V.; Egido, J. L.; Robledo, L. M.
- Physical Review C, Vol. 68, Issue 3
Transition Probability from the Ground to the First-Excited 2+ State of Even–Even Nuclides
journal, May 2001
- Raman, S.; Nestor, C. W.; Tikkanen, P.
- Atomic Data and Nuclear Data Tables, Vol. 78, Issue 1
Heavy Deformed Nuclei in the Shell Model Monte Carlo Method
journal, August 2008
- Alhassid, Y.; Fang, L.; Nakada, H.
- Physical Review Letters, Vol. 101, Issue 8