Precision calculation of isospin-symmetry-breaking corrections to 
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 mirror decays using configuration-interaction framework built upon multireference charge-dependent density functional theory

Konieczka, M.; Bączyk, P.; Satuła, W.

doi:10.1103/physrevc.105.065505

Cited by 2 publications

(1 citation statement)

References 39 publications

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“…These tests revealed an inconsistency of the Hartree-Fock (HF) radial wavefunction calculations with the CVC hypothesis, while the f V t-value ratio measurements were found to be more consistent with the so-called SM-WS approach of [15], motivating the use of the latter of these calculations for δ C determination. Consequently, this has motivated efforts to both recalculate the radial overlap correction for HF wavefunctions [16] and to calculate δ C using ab initio methods [17][18][19] and density functional theories [20]. Additional input from mirror decays would be a unique test of the calculation methods currently employed for δ C and would provide future direction for first principles efforts.…”

Section: Introductionmentioning

confidence: 99%

The St. Benedict Facility: Probing Fundamental Symmetries through Mixed Mirror β-Decays

Porter,

Bardayan,

Brodeur

et al. 2023

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Precise measurements of nuclear beta decays provide a unique insight into the Standard Model due to their connection to the electroweak interaction. These decays help constrain the unitarity or non-unitarity of the Cabibbo–Kobayashi–Maskawa (CKM) quark mixing matrix, and can uniquely probe the existence of exotic scalar or tensor currents. Of these decays, superallowed mixed mirror transitions have been the least well-studied, in part due to the absence of data on their Fermi to Gamow-Teller mixing ratios (ρ). At the Nuclear Science Laboratory (NSL) at the University of Notre Dame, the Superallowed Transition Beta-Neutrino Decay Ion Coincidence Trap (St. Benedict) is being constructed to determine the ρ for various mirror decays via a measurement of the beta–neutrino angular correlation parameter (aβν) to a relative precision of 0.5%. In this work, we present an overview of the St. Benedict facility and the impact it will have on various Beyond the Standard Model studies, including an expanded sensitivity study of ρ for various mirror nuclei accessible to the facility. A feasibility evaluation is also presented that indicates the measurement goals for many mirror nuclei, which are currently attainable in a week of radioactive beam delivery at the NSL.

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Section: Introductionmentioning

confidence: 99%

The St. Benedict Facility: Probing Fundamental Symmetries through Mixed Mirror β-Decays

Porter,

Bardayan,

Brodeur

et al. 2023

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Sensitivity study of mirror energy differences in positive parity bands of T=32 A=45 nuclei

Satuła,

Bentley,

Jalili

et al. 2023

Phys. Rev. C

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Symmetry-conserving density-functional theory (DFT) based no-core-configuration-interaction framework (DFT-NCCI) is an excellent tool for precision calculation of diverse (pseudo-)observables related to isospin symmetry breaking from elusive isospin impurities through isospin corrections to superallowed beta decays to mirror-and triplet-displacement energies and mirror energy differences (MED) along rotational bands. In our recent work [Phys. Rev. C 106, 024327 (2022)] we performed axial DFT-NCCI calculations and failed to reproduce a sign of MED in positive-parity (π =+) bands of 45 Sc / 45 Cr, T = 3/2 mirror pair what casts a shadow on credibility of the model. In this work we aim to perform a thorough analysis of this case with the focus on sensitivity of our predictions with respect to (i) low-energy constants (LECs) of our effective contact charge symmetry breaking force and (ii) nuclear shape. We demonstrate, among other things, that inclusion of triaxial π =+ground state-which is actually the global π =+minimum in our unconstrained mean-field calculation-in the DFT-NCCI calculations instead of the axial one used before leads to MED which are consistent with experimental data concerning both their sign as well as magnitude without any need for fine-tuning of the model's LECs.

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Precision calculation of isospin-symmetry-breaking corrections to T=1/2 mirror decays using configuration-interaction framework built upon multireference charge-dependent density functional theory

Cited by 2 publications

References 39 publications

The St. Benedict Facility: Probing Fundamental Symmetries through Mixed Mirror β-Decays

The St. Benedict Facility: Probing Fundamental Symmetries through Mixed Mirror β-Decays

Sensitivity study of mirror energy differences in positive parity bands of T=32 A=45 nuclei

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