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arxiv: 0710.1265 · v2 · submitted 2007-10-05 · ⚛️ nucl-th

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Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei

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classification ⚛️ nucl-th
keywords carloelementsmatrixmontetransitioncalculationselectroweakestimates
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Green's function Monte Carlo calculations of magnetic dipole, electric quadrupole, Fermi, and Gamow-Teller transition matrix elements are reported for A=6,7 nuclei. The matrix elements are extrapolated from mixed estimates that bracket the relevant electroweak operator between variational Monte Carlo and GFMC propagated wave functions. Because they are off-diagonal terms, two mixed estimates are required for each transition, with a VMC initial (final) state paired with a GFMC final (initial) state. The realistic Argonne v18 two-nucleon and Illinois-2 three-nucleon interactions are used to generate the nuclear states. In most cases we find good agreement with experimental data.

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  1. Quantum Monte Carlo calculation of $\delta_C$ in the superallowed beta decay of $^{10}$C

    nucl-th 2026-05 unverdicted novelty 6.0

    Ab initio QMC calculations yield δ_C ≈ 0.15–0.25% for ¹⁰C superallowed beta decay, consistent across phenomenological and chiral interactions within 34–65% relative uncertainties.