Exactly solvable model for the decay of superdeformed nuclei

B. R. Barrett; D. M. Cardamone; C. A. Stafford

doi:10.1142/S0218301305002886

Exactly solvable model for the decay of superdeformed nuclei

B. R. Barrett, D. M. Cardamone, C. A. Stafford

Physics

Research output: Contribution to journal › Review article › peer-review

1 Scopus citations

Abstract

The history and importance of superdeformation in nuclei is briefly discussed. A simple two-level model is then employed to obtain an elegant expression for the branching ratio for the decay via. the E1 process in the normal-deformed band of superdeformed nuclei. From this expression, the spreading width Γ^↓ for superdeformed decay is found to be determined completely by experimentally known quantities. The accuracy of the two-level approximation is verified by considering the effects of other normal-deformed states. Furthermore, by using a statistical model of the energy levels in the normal-deformed well, we can obtain a probabilistic expression for the tunneling matrix element V.

Original language	English (US)
Pages (from-to)	157-164
Number of pages	8
Journal	International Journal of Modern Physics E
Volume	14
Issue number	1
DOIs	https://doi.org/10.1142/S0218301305002886
State	Published - Feb 2005

Keywords

Decay
Exact two-level model
Superdeformed bands

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy(all)

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10.1142/S0218301305002886

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title = "Exactly solvable model for the decay of superdeformed nuclei",

abstract = "The history and importance of superdeformation in nuclei is briefly discussed. A simple two-level model is then employed to obtain an elegant expression for the branching ratio for the decay via. the E1 process in the normal-deformed band of superdeformed nuclei. From this expression, the spreading width Γ↓ for superdeformed decay is found to be determined completely by experimentally known quantities. The accuracy of the two-level approximation is verified by considering the effects of other normal-deformed states. Furthermore, by using a statistical model of the energy levels in the normal-deformed well, we can obtain a probabilistic expression for the tunneling matrix element V.",

keywords = "Decay, Exact two-level model, Superdeformed bands",

author = "Barrett, {B. R.} and Cardamone, {D. M.} and Stafford, {C. A.}",

note = "Funding Information: We acknowledge support from NSF Grant No. PHY-0210750. B. R. Barrett acknowledges partial support from NSF Grant Nos. PHY-0070858 and PHY-0244389. We also thank the Institute of Nuclear Theory at the University of Washington for its hospitality and the Department of Energy for partial support during the formulation of this work.",

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AU - Barrett, B. R.

AU - Cardamone, D. M.

AU - Stafford, C. A.

N1 - Funding Information: We acknowledge support from NSF Grant No. PHY-0210750. B. R. Barrett acknowledges partial support from NSF Grant Nos. PHY-0070858 and PHY-0244389. We also thank the Institute of Nuclear Theory at the University of Washington for its hospitality and the Department of Energy for partial support during the formulation of this work.

PY - 2005/2

Y1 - 2005/2

N2 - The history and importance of superdeformation in nuclei is briefly discussed. A simple two-level model is then employed to obtain an elegant expression for the branching ratio for the decay via. the E1 process in the normal-deformed band of superdeformed nuclei. From this expression, the spreading width Γ↓ for superdeformed decay is found to be determined completely by experimentally known quantities. The accuracy of the two-level approximation is verified by considering the effects of other normal-deformed states. Furthermore, by using a statistical model of the energy levels in the normal-deformed well, we can obtain a probabilistic expression for the tunneling matrix element V.

AB - The history and importance of superdeformation in nuclei is briefly discussed. A simple two-level model is then employed to obtain an elegant expression for the branching ratio for the decay via. the E1 process in the normal-deformed band of superdeformed nuclei. From this expression, the spreading width Γ↓ for superdeformed decay is found to be determined completely by experimentally known quantities. The accuracy of the two-level approximation is verified by considering the effects of other normal-deformed states. Furthermore, by using a statistical model of the energy levels in the normal-deformed well, we can obtain a probabilistic expression for the tunneling matrix element V.

KW - Decay

KW - Exact two-level model

KW - Superdeformed bands

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JO - International Journal of Modern Physics E

JF - International Journal of Modern Physics E

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Exactly solvable model for the decay of superdeformed nuclei

Abstract

Keywords

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