Precise electromagnetic tests of ab-initio calculations of light nuclei: States in ${}^{10}$Be

Abstract

In order to test {\it ab-initio} calculations of light nuclei, we have remeasured lifetimes in ${}^{10}$Be using the Doppler Shift Attenuation Method (DSAM) following the ${}^7$Li(${}^7$Li,$\alpha$)${}^{10}$Be reaction at 8 and 10 MeV. The new experiments significantly reduce systematic uncertainties in the DSAM technique. The J${}^{\pi }$ = $2_1^{+}$ state at 3.37 MeV has $\tau$ = 205$\pm$(5)${}_{stat}\pm$(7)${}_{sys}$ fs corresponding to a $B$($E2\downarrow$) of 9.2(3) $e^2$fm${}^4$ in broad agreement with many calculations. The J${}^{\pi }$ = $2_2^{+}$ state at 5.96 MeV was found to have a $B$($E2\downarrow$) of 0.11(2) $e^2$fm${}^4$ and provides a more discriminating test of nuclear models. New Green's Function Monte Carlo (GFMC) calculations for these states and transitions with a number of Hamiltonians are also reported and compared to experiment.

4 Pages

References in corpus (3)

• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Nuclear charge radius of ${}^8$He
• Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei

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• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• First Measurement of the $B(E2;3/2^{-}\to 1/2^{-})$ Transition Strength in ${}^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei
• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• Neutron quadrupole transition strength in ${}^{10}$C deduced from the ${}^{10}$C$(\alpha ,{\alpha }^{\prime })$ measurement with the MAIKo active target
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius
• Quadrupole transitions of ${}^{10}$C and their isospin symmetry with ${}^{10}$Be
• Computational Science and Innovation