Isospin mixing within the symmetry restored density functional theory and beyond

W. Satula; J. Dobaczewski; M. Konieczka; W. Nazarewicz

doi:10.5506/APhysPolB.45.167

Isospin mixing within the symmetry restored density functional theory and beyond

W. Satula, J. Dobaczewski, M. Konieczka, W. Nazarewicz

Physics

Research output: Contribution to conference › Paper › peer-review

Abstract

We present results of systematic calculations of the isospin-symmetry-breaking corrections to the superallowed I=$0+,T=1 --> I=0+,T=1 beta-decays, based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT). We discuss theoretical uncertainties of the formalism related to the basis truncation, parametrization of the underlying energy density functional, and ambiguities related to determination of Slater determinants in odd-odd nuclei. A generalization of the double-projected DFT model towards a no core shell-model-like configuration-mixing approach is formulated and implemented. We also discuss new opportunities in charge-symmetry- and charge-independence-breaking studies offered by the newly developed DFT formalism involving proton-neutron mixing in the particle-hole channel.

Original language	English
Pages	167-180
Number of pages	14
DOIs	https://doi.org/10.5506/APhysPolB.45.167
Publication status	Published - 1 Feb 2014
Event	XXXIII Mazurian Lakes Conference on Physics, Piaski, Poland, September 1–7, 2013. - , Poland Duration: 1 Sept 2013 → …

Conference

Conference	XXXIII Mazurian Lakes Conference on Physics, Piaski, Poland, September 1–7, 2013.
Country/Territory	Poland
Period	1/09/13 → …

Bibliographical note

Invited talk presented by WS at the XXXIII Mazurian Lakes Conference on Physics, Piaski, Poland, 1-7 September 2013

Keywords

nucl-th

Access to Document

10.5506/APhysPolB.45.167

Cite this

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title = "Isospin mixing within the symmetry restored density functional theory and beyond",

abstract = "We present results of systematic calculations of the isospin-symmetry-breaking corrections to the superallowed I=$0+,T=1 --> I=0+,T=1 beta-decays, based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT). We discuss theoretical uncertainties of the formalism related to the basis truncation, parametrization of the underlying energy density functional, and ambiguities related to determination of Slater determinants in odd-odd nuclei. A generalization of the double-projected DFT model towards a no core shell-model-like configuration-mixing approach is formulated and implemented. We also discuss new opportunities in charge-symmetry- and charge-independence-breaking studies offered by the newly developed DFT formalism involving proton-neutron mixing in the particle-hole channel.",

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AU - Satula, W.

AU - Dobaczewski, J.

AU - Konieczka, M.

AU - Nazarewicz, W.

N1 - Invited talk presented by WS at the XXXIII Mazurian Lakes Conference on Physics, Piaski, Poland, 1-7 September 2013

PY - 2014/2/1

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N2 - We present results of systematic calculations of the isospin-symmetry-breaking corrections to the superallowed I=$0+,T=1 --> I=0+,T=1 beta-decays, based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT). We discuss theoretical uncertainties of the formalism related to the basis truncation, parametrization of the underlying energy density functional, and ambiguities related to determination of Slater determinants in odd-odd nuclei. A generalization of the double-projected DFT model towards a no core shell-model-like configuration-mixing approach is formulated and implemented. We also discuss new opportunities in charge-symmetry- and charge-independence-breaking studies offered by the newly developed DFT formalism involving proton-neutron mixing in the particle-hole channel.

AB - We present results of systematic calculations of the isospin-symmetry-breaking corrections to the superallowed I=$0+,T=1 --> I=0+,T=1 beta-decays, based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT). We discuss theoretical uncertainties of the formalism related to the basis truncation, parametrization of the underlying energy density functional, and ambiguities related to determination of Slater determinants in odd-odd nuclei. A generalization of the double-projected DFT model towards a no core shell-model-like configuration-mixing approach is formulated and implemented. We also discuss new opportunities in charge-symmetry- and charge-independence-breaking studies offered by the newly developed DFT formalism involving proton-neutron mixing in the particle-hole channel.

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