$\mathcal{F}t$ values of the mirror $\beta$ transitions and the weak magnetism induced current in allowed nuclear $\beta$ decay

Abstract

In recent years a number of correlation measurements in nuclear $\beta$ decay have been performed reaching a precision of the order of 1\% and below and it is expected that even higher precision will be reached in the near future. At these levels of precision higher-order corrections due to e.g. recoil terms induced by the strong interaction and radiative corrections cannot necessarily be neglected anymore when interpreting these results in terms of new physics or extracting a value for the $V_{ud}$ quark-mixing matrix element. We provide here an update of the $\mathcal{F}t$ values of the $T=1/2$ mirror $\beta$ decays as well as an overview of current experimental and theoretical knowledge of the most important recoil term, weak magnetism, for both the $T=1/2$ mirror $\beta$ transitions and a large set of $\beta$ decays in higher isospin multiplets. The matrix elements determining weak magnetism were calculated in the nuclear shell model and cross-checked against experimental data, showing overall good agreement. Additionally, we show that further insight can be obtained from properly deformed nuclear potentials, in particular for mirror $T=1/2$ decays.. The results provide new insights in the size of weak magnetism, extending the available information to $\beta$ transitions of nuclei with masses up to $A=$ 75. This provides important guidance for the planning and interpretation of ongoing and new precise correlation measurements in nuclear $\beta$ decay searching for new physics or to extract the $V_{ud}$ quark-mixing matrix element in mirror $\beta$ decays. This more detailed knowledge of weak magnetism can also be of interest for further theoretical work related to the reactor neutrino problem.

arXiv comment64 pages, 21 figures

References in corpus (117)

• Nuclear ground-state masses and deformations: FRDM(2012)
• The Reactor Antineutrino Anomaly
• Improved Predictions of Reactor Antineutrino Spectra
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• On the determination of anti-neutrino spectra from nuclear reactors
• FLAG Review 2021
• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Effective interaction for pf-shell nuclei
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• Tests of the standard electroweak model in beta decay
• Measurement of the neutron lifetime using a gravitational trap and a low-temperature Fomblin coating
• Probing Novel Scalar and Tensor Interactions from (Ultra)Cold Neutrons to the LHC
• A nucleus-dependent valence-space approach to nuclear structure
• Reduced hadronic uncertainty in the determination of $V_{ud}$
• Improved Determination of the Neutron Lifetime
• Improved Calculation of Electroweak Radiative Corrections and the Value of V_ud
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Superallowed 0+ --> 0+ nuclear beta decays: 2014 critical survey, with precise results for Vud and CKM unitarity
• Are there sterile neutrinos at the eV scale?
• The effective g_A in the pf-shell
• Systematic Uncertainties in the Analysis of the Reactor Neutrino Anomaly
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• New physics searches in nuclear and neutron $\beta$ decay
• Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
• Radiative Corrections to Neutron and Nuclear Beta Decays Revisited
• Sterile Neutrinos
• Superallowed nuclear beta decays: A critical survey with tests of CVC and the standard model
• Beta Decays and Non-Standard Interactions in the LHC Era
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• Measurement of the neutron lifetime using an asymmetric magneto- gravitational trap and in situ detection
• Precision Measurements and CKM Unitarity
• Calculated corrections to superallowed Fermi beta decay: New evaluation of the nuclear-structure-dependent terms
• Isovector Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Reactor Neutrino Spectra
• Non-standard Charged Current Interactions: beta decays versus the LHC
• Scalar interaction limits from the beta-neutrino correlation of trapped radioactive atoms
• Determination of |Vud| from nuclear mirror transitions
• Spectral Structure of Electron Antineutrinos from Nuclear Reactors
• Updated Summation Model: An Improved Agreement with the Daya Bay Antineutrino Fluxes
• Joint lattice QCD - dispersion theory analysis confirms the quark-mixing top-row unitarity deficit
• Positron-neutrino correlation in the 0^+ \to 0^+ decay of ^{32}Ar
• Neutron lifetime measurements with the big gravitational trap for ultracold neutrons
• High precision analytical description of the allowed $\beta$ spectrum shape
• Ft values of the T = 1/2 mirror beta transitions
• Detailed Report of the MuLan Measurement of the Positive Muon Lifetime and Determination of the Fermi Constant
• Standard Model $\mathcal{O}(\alpha )$ renormalization of $g_A$ and its impact on new physics searches
• Nuclear spins, magnetic moments and quadrupole moments of Cu isotopes from N = 28 to N = 46: probes for core polarization effects
• Comprehensive analysis of beta decays within and beyond the Standard Model
• New result for the neutron $\beta$-asymmetry parameter $A_0$ from UCNA
• $\gamma W$-box Inside-Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum
• First-forbidden transitions in the reactor anomaly
• First-forbidden transitions in the reactor anomaly
• Quantum Monte Carlo calculations of weak transitions in $A$=6--10 nuclei
• Isospin breaking in the nucleon mass and the sensitivity of beta decays to new physics
• Measurement of the Beta-Neutrino Correlation of Sodium-21 using Shakeoff Electrons
• Electroweak axial structure functions and improved extraction of the $V_{ud}$ CKM matrix element
• A clean, bright, and versatile source of neutron decay products
• Impact of the quenching of $g_{\mathrm{A}}$ on the sensitivity of $0\nu \beta \beta$ experiments
• Neutron Beta-Decay as Laboratory for Test of Standard Model
• Evaluated Experimental Isobaric Analogue States from $T=1/2$ to $T=3$ and associated IMME coefficients
• Production cross section measurements of radioactive isotopes by BigRIPS separator at RIKEN RI Beam Factory
• Symmetry violations in nuclear and neutron $\beta$ decay
• Improved determination of the $\beta$-${\overline{\nu }}_e$ angular correlation coefficient $a$ in free neutron decay with the $a$SPECT spectrometer
• Analysis of the Daya Bay Reactor Antineutrino Flux Changes with Fuel Burnup
• Measurement of the neutron $\beta$-asymmetry parameter $A_0$ with ultracold neutrons
• Measurement of Transverse Polarization of Electrons Emitted in Free Neutron Decay
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Precision measurement of the $\beta$-asymmetry in spin-polarized ${}^{37}\mathrm{K}$ decay
• Search for a T-odd, P-even Triple Correlation in Neutron Decay
• Statistical analysis of beta decays and the effective value of g_A in the proton-neutron quasiparticle random-phase approximation framework
• Beta asymmetry parameter in the decay of 114In
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Renormalization of the weak hadronic current in the nuclear medium
• Tensor interaction constraints from beta decay recoil spin asymmetry of trapped atoms
• Measurement of the neutron decay electron-antineutrino angular correlation by the aCORN experiment
• Precision measurements of the ${}^{60}$Co $\beta$-asymmetry parameter in search for tensor currents in weak interactions
• Nuclear Magnetic Moment of the 57Cu Ground State
• Precise Measurements of the Decay of Free Neutrons
• Improved limits on Fierz Interference using asymmetry measurements from the UCNA experiment
• Kinematic sensitivity to the Fierz term of $\beta$-decay differential spectra
• Radial Overlap Correction to Superallowed $0^{+}\to 0^{+}$ $\beta$-decay revisited
• On the asymmetry of Gamow-Teller beta-decay rates in mirror nuclei in relation with second-class currents
• The WITCH experiment: Acquiring the first recoil ion spectrum
• High-Precision Measurement of the 19Ne Half-Life and Implications for Right-Handed Weak Currents
• Limit on the Fierz Interference Term b from a Measurement of the Beta Asymmetry in Neutron Decay
• Ab Initio Excited States from the In-Medium Similarity Renormalization Group
• Beta decay of the very neutron-deficient ${}^{60}$Ge and ${}^{62}$Ge nuclei
• Measurement of the half-life of the T=$\frac{1}{2}$ mirror decay of ${}^{19}$Ne and its implication on physics beyond the standard model
• First direct constraints on Fierz interference in free neutron $\beta$ decay
• Measurement of the $\beta$-asymmetry parameter of ${}^{67}$Cu in search for tensor type currents in the weak interaction
• Precision analysis of electron energy spectrum and angular distribution of neutron beta decay with polarized neutron and electron
• Simultaneous Measurements of the Beta Neutrino Angular Correlation in ${}^{32}$Ar Pure Fermi and Pure Gamow-Teller Transitions using Beta-Proton Coincidences
• Precision measurements with LPCTrap at GANIL
• Doubly-magic nature of 56Ni: measurement of the ground state nuclear magnetic dipole moment of 55Ni
• Test of the Conserved Vector Current Hypothesis by beta-ray Angular Distribution Measurement in the Mass-8 System
• Deuteron and triton magnetic moments from NMR spectra of the hydrogen molecule
• Using Nab to determine correlations in unpolarized neutron decay
• Beta Spectrum Generator: High precision allowed $\beta$ spectrum shapes
• Precision half-life measurement of the \boldmath${\beta }^{+}$ decay of \tsups{37}K
• Electron shakeoff following the \b{eta}+ decay of 19Ne+ and 35Ar+ trapped ions
• Search for Superscreening effect in Superconductor
• Weak Magnetism Correction to Allowed Beta-decay for Reactor Antineutrino Spectra
• A new beamline for laser spin-polarization at ISOLDE
• Detection System for Neutron $\beta$ Decay Correlations in the UCNB and Nab experiments
• Test of the Standard Model in Neutron Beta Decay with Polarized Electron and Unpolarized Neutron and Proton
• The beta-gamma decay of 21Na
• Front-end electronics and data acquisition system for a multi-wire 3D gas tracker
• Measurement of the Shape Factor for the Beta Decay of ${}^{14}$O
• The $2_1^{+}\to 3_1^{+}$ gamma width in ${}^{22}$Na and second class currents
• Influence of the recoil-order and radiative correction on the beta decay correlation coefficients in mirror decays
• Measurement of the ${}^{20}$F half-life
• Precise branching ratio measurements in ${}^{19}$Ne beta decay and fundamental tests of the weak interaction
• High Precision Measurement of the ${}^{19}$Ne Half-life using real-time digital acquisition
• Self-consistent calculation of the reactor antineutrino spectra including forbidden transitions
• Coulomb displacement energies as a probe for nucleon pairing in the $f_{7/2}$ shell

Cited by in corpus (4)

• Constraints on subleading interactions in beta decay Lagrangian
• Opportunities and open questions in modern $\beta$ decay
• The beta decay of Tz=-2 64Se and its descendants: the T=2 isobaric multiplet
• Benchmarking projected generator coordinate method for nuclear Gamow-Teller transitions