Self-consistent approach to the Gamow-Teller<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>β</mml:mi></mml:mrow></mml:math>decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Kr</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>72</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Petrovici, A.; Schmid, K.W.; Radu, O.; Faessler, Amand

doi:10.1103/physrevc.78.044315

Cited by 22 publications

(28 citation statements)

References 18 publications

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“…The predominantly prolate analog states in the 66 As and 66 Ge pair of nuclei show smooth changes of the prolate-oblate mixing with increasing spin which is reflected in the small positive trend of the corresponding CED in good agreement with the available data [9,10]. For the A=82 and A=86 nuclei it was found that one prolate component strongly dominates the structure of the yrast states representing more than 90% of the total amplitude [4] and the corresponding CED indicate also positive trend.…”

Section: Shape-coexistence and Isospin-symmetry-breaking Effects In Asupporting

confidence: 77%

“…The description of phenomena where the nucleus serves as laboratory for fundamental effects requires particularly high accuracy of the nuclear structure models. On the other hand, particular components of the effective nucleonnucleon interaction known to have direct relevance to spin-isospin properties play an essential role for the oblateprolate competition and mixing in the A∼70 mass region, too, as it is demonstrated in our studies within the Vampir models [1][2][3][4][5][6].…”

Section: Introductionsupporting

confidence: 56%

“…The corresponding single-particle energies had been adjusted in complex MONSTER (VAMPIR) calculations for odd-mass nuclei in the region. We start with a charge symmetric basis and then introduce the Coulomb shifts for the proton single particle levels above the 40 Ca core by performing spherically symmetric Hartree-Fock calculations using the Gogny-interaction D1S for each mass number A [4]. The effective two-body interaction is constructed by the renormalization of a nuclear matter G-matrix based on the Bonn A potential and the Coulomb interaction between the valence protons is added.…”

Section: Introductionmentioning

confidence: 99%

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Isospin-symmetry-breaking effects in A∼70 nuclei within beyond-mean-field approach

Petrovici¹,

Andrei²

2015

AIP Conference Proceedings

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Abstract. Particular isospin-symmetry-breaking probes including Coulomb energy differences (CED), mirror energy differences (MED), and triplet energy differences (TED) manifest anomalies in the A∼70 isovector triplets of nuclei. The structure of proton-rich nuclei in the A∼70 mass region suggests shape coexistence and competition between pairing correlations in different channels. Recent results concerning the interplay between isospin-mixing and shape-coexistence effects on exotic phenomena in A∼70 nuclei obtained within the beyond-mean-field complex Excited Vampir variational model with symmetry projection before variation using a realistic effective interaction in a relatively large model space are presented. Excited Vampir predictions concerning the Gamow-Teller β decay to the odd-odd N=Z 66 As and 70 Br nuclei correlated with the pair structure analysis in the T=1 and T=0 channel of the involved wave functions are discussed.

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Section: Shape-coexistence and Isospin-symmetry-breaking Effects In Asupporting

confidence: 77%

Section: Introductionsupporting

confidence: 56%

Section: Introductionmentioning

confidence: 99%

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Isospin-symmetry-breaking effects in A∼70 nuclei within beyond-mean-field approach

Petrovici¹,

Andrei²

2015

AIP Conference Proceedings

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“…12 also shows predictions of Ref. [46] for the 82 Nb→ 82 Zr transition using the VAMPIR approach with either chargeindependent Bonn A potential or charge-dependent Bonn CD potential. Note that our prediction is only slightly below the Bonn A result and significantly lower than the Bonn CD value.…”

Section: F Isb Corrections In 78 ≤ a ≤ 98 Nucleimentioning

confidence: 85%

“…[36]. [46] by using the VAMPIR formalism with the charge-independent Bonn A and charge-dependent Bonn CD interactions.…”

Section: F Isb Corrections In 78 ≤ a ≤ 98 Nucleimentioning

confidence: 99%

Isospin-breaking corrections to superallowed Fermiβdecay in isospin- and angular-momentum-projected nuclear density functional theory

et al. 2012

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Background: The superallowed β-decay rates provide stringent constraints on physics beyond the Standard Model of particle physics. To extract crucial information about the electroweak force, small isospin-breaking corrections to the Fermi matrix element of superallowed transitions must be applied.Purpose: We perform systematic calculations of isospin-breaking corrections to superallowed β-decays and estimate theoretical uncertainties related to the basis truncation, time-odd polarization effects related to the intrinsic symmetry of the underlying Slater determinants, and to the functional parametrization. Methods:We use the self-consistent isospin-and angular-momentum-projected nuclear density functional theory employing two density functionals derived from the density independent Skyrme interaction. Pairing correlations are ignored. Our framework can simultaneously describe various effects that impact matrix elements of the Fermi decay: symmetry breaking, configuration mixing, and long-range Coulomb polarization. Results:The isospin-breaking corrections to the I = 0 + , T = 1 → I = 0 + , T = 1 pure Fermi transitions are computed for nuclei from A=10 to A=98 and, for the first time, to the Fermi branch of the I, T = 1/2 → I, T = 1/2 transitions in mirror nuclei from A=11 to A=49. We carefully analyze various model assumptions impacting theoretical uncertainties of our calculations and provide theoretical error bars on our predictions. Conclusions:The overall agreement with empirical isospin-breaking corrections is very satisfactory. Using computed isospin-breaking corrections we show that the unitarity of the CKM matrix is satisfied with a precision better than 0.1%.

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Weak interaction rates for Kr and Sr waiting-point nuclei under rp-process conditions

Sarriguren¹

2009

Physics Letters B

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Weak interaction rates are studied in neutron deficient Kr and Sr waiting-point isotopes in ranges of densities and temperatures relevant for the rp process. The nuclear structure is described within a microscopic model (deformed QRPA) that reproduces not only the half-lives but also the Gamow-Teller strength distributions recently measured. The various sensitivities of the decay rates to both density and temperature are discussed. Continuum electron capture is shown to contribute significantly to the weak rates at rp-process conditions.

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Self-consistent approach to the Gamow-Tellerβdecay ofKr72

Cited by 22 publications

References 18 publications

Isospin-symmetry-breaking effects in A∼70 nuclei within beyond-mean-field approach

Isospin-symmetry-breaking effects in A∼70 nuclei within beyond-mean-field approach

Isospin-breaking corrections to superallowed Fermiβdecay in isospin- and angular-momentum-projected nuclear density functional theory

Weak interaction rates for Kr and Sr waiting-point nuclei under rp-process conditions

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