Determining the energy barrier for decay out of superdeformed bands

B. R. Barrett; J. Bürki; D. M. Cardamone; C. A. Stafford; D. L. Stein

doi:10.1016/j.physletb.2010.03.052

Determining the energy barrier for decay out of superdeformed bands

B. R. Barrett, J. Bürki, D. M. Cardamone, C. A. Stafford, D. L. Stein

Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

An asymptotically exact quantum mechanical calculation of the matrix elements for tunneling through an asymmetric barrier is combined with the two-state statistical model for decay out of superdeformed bands to determine the energy barrier (as a function of spin) separating the superdeformed and normal-deformed wells for several nuclei in the 190 and 150 mass regions. The spin-dependence of the barrier leading to sudden decay out is shown to be consistent with the decrease of a centrifugal barrier with decreasing angular momentum. Values of the barrier frequency in the two mass regions are predicted.

Original language	English (US)
Pages (from-to)	110-113
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	688
Issue number	1
DOIs	https://doi.org/10.1016/j.physletb.2010.03.052
State	Published - Apr 26 2010

Keywords

Quantum-mechanical path integrals
Superdeformed decay
Two-state model of SD decay

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2010.03.052

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title = "Determining the energy barrier for decay out of superdeformed bands",

abstract = "An asymptotically exact quantum mechanical calculation of the matrix elements for tunneling through an asymmetric barrier is combined with the two-state statistical model for decay out of superdeformed bands to determine the energy barrier (as a function of spin) separating the superdeformed and normal-deformed wells for several nuclei in the 190 and 150 mass regions. The spin-dependence of the barrier leading to sudden decay out is shown to be consistent with the decrease of a centrifugal barrier with decreasing angular momentum. Values of the barrier frequency in the two mass regions are predicted.",

keywords = "Quantum-mechanical path integrals, Superdeformed decay, Two-state model of SD decay",

author = "Barrett, {B. R.} and J. B{\"u}rki and Cardamone, {D. M.} and Stafford, {C. A.} and Stein, {D. L.}",

note = "Funding Information: The authors thank Teng Lek Khoo and Anna Wilson for useful discussions, and TRIUMF and the Institute for Nuclear Theory at the University of Washington for their hospitality and the Department of Energy for partial support during the completion of this work. B.R.B. was supported in part by NSF grant PHY-0555396 . D.L.S. was supported in part by NSF grant PHY-06501077 . ",

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AU - Barrett, B. R.

AU - Bürki, J.

AU - Cardamone, D. M.

AU - Stafford, C. A.

AU - Stein, D. L.

N1 - Funding Information: The authors thank Teng Lek Khoo and Anna Wilson for useful discussions, and TRIUMF and the Institute for Nuclear Theory at the University of Washington for their hospitality and the Department of Energy for partial support during the completion of this work. B.R.B. was supported in part by NSF grant PHY-0555396 . D.L.S. was supported in part by NSF grant PHY-06501077 .

PY - 2010/4/26

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N2 - An asymptotically exact quantum mechanical calculation of the matrix elements for tunneling through an asymmetric barrier is combined with the two-state statistical model for decay out of superdeformed bands to determine the energy barrier (as a function of spin) separating the superdeformed and normal-deformed wells for several nuclei in the 190 and 150 mass regions. The spin-dependence of the barrier leading to sudden decay out is shown to be consistent with the decrease of a centrifugal barrier with decreasing angular momentum. Values of the barrier frequency in the two mass regions are predicted.

AB - An asymptotically exact quantum mechanical calculation of the matrix elements for tunneling through an asymmetric barrier is combined with the two-state statistical model for decay out of superdeformed bands to determine the energy barrier (as a function of spin) separating the superdeformed and normal-deformed wells for several nuclei in the 190 and 150 mass regions. The spin-dependence of the barrier leading to sudden decay out is shown to be consistent with the decrease of a centrifugal barrier with decreasing angular momentum. Values of the barrier frequency in the two mass regions are predicted.

KW - Quantum-mechanical path integrals

KW - Superdeformed decay

KW - Two-state model of SD decay

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Determining the energy barrier for decay out of superdeformed bands

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