Electron emission and recoil effects following the beta decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mtext>He</mml:mtext><mml:mprescripts /><mml:none /><mml:mn>6</mml:mn></mml:mmultiscripts></mml:math>

Schulhoff, Eva; Drake, G. W. F.

doi:10.1103/physreva.92.050701

Cited by 11 publications

(25 citation statements)

References 16 publications

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“…As shown in Table VI, there is a significant discrepancy between the B parameters measured by Carlson et al and the ones calculated in Ref. [19]. While we find a plausible explanation for some of the differences between theory and experiment for the overall Li-ion fractions, as stated above, it is more difficult to understand how the B factors could be a factor of ∼ 7 smaller in the calculations.…”

Section: Discussioncontrasting

confidence: 61%

“…Therefore, in Table IV the theoretical fractions are calculated based on the results of Ref. [19] and applied with the same E β threshold as in our experiment. In order to understand the systematic shifts of A 2 and B 2 caused by approximations like assuming η 1 and η 2 to be identical, we ran Monte Carlo simulations with the values of A 2 and B 2 from Ref.…”

Section: Data Analysis and Resultsmentioning

confidence: 99%

“…The case of 6 He also presents a nice benchmark to test aspects of the calculations that are relevant for other arXiv:1703.07052v3 [nucl-ex] 19 Dec 2017 problems, like the role of electron-electron interactions, the use of the sudden approximation, and methods for calculating charge distributions after the shake-off process. Several calculations have been performed for 6 He [17][18][19]. A confirmation of the calculated fraction of Li 3+ was recently performed with the hydrogen-like system of 6 He ions [20].…”

Section: Introductionmentioning

confidence: 93%

“…(7) a In Ref. [19] the energy-dependent shake-off probabilities are modeled as P = A + B × E ion and the values of parameters A and B are presented for all charge states. We calculated the average ion energy E ion , and used it to calculate the theoretical energy-integrated charge state fraction.…”

Section: Introductionmentioning

confidence: 99%

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Charge-state distribution of Li ions from the β decay of laser-trapped He6 atoms

et al. 2017

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The accurate determination of atomic final states following nuclear β decay plays an important role in several experiments. In particular, the charge state distributions of ions following nuclear β decay are important for determinations of the β − ν angular correlation with improved precision. Beyond the hydrogenic cases, the decay of neutral 6 He presents the simplest case. Our measurement aims at providing benchmarks to test theoretical calculations. The kinematics of Li n+ ions produced following the β decay of 6 He within an electric field were measured using 6 He atoms in the metastable (1s2s, 3 S1) and in the (1s2p, 3 P2) states confined by a magneto-optical trap. The electron shake-off probabilities were deduced including their dependence on ion energy. We find significant discrepancies on the fractions of Li ions in the different charge states with respect to a recent calculation.

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Section: Discussioncontrasting

confidence: 61%

Section: Data Analysis and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

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Charge-state distribution of Li ions from the β decay of laser-trapped He6 atoms

et al. 2017

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“…Another one is to employ double or even triple set of STOs with each set sharing different pair of parameters ξ . The multiple basis set constructed in this way is similar to the one extensively used in Drake's group for Hylleraas basis, which can produce a natural representation of the system wave function in both short‐range correlation and long‐range asymptotic regions. It has been shown by the authors that it can produce a dramatic improvement in the prediction of high‐lying Rydberg states.…”

Section: Resultsmentioning

confidence: 99%

Linear dependence in Hylleraas configuration‐interaction calculations of He atom

Zhang

Gao

Jiao

et al. 2019

Int J of Quantum Chemistry

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The explicitly‐correlated basis sets are much easier to be linearly dependent than the product type bases constructed by one‐electron orbitals due to the explicit inclusion of interelectronic coordinates in system wave functions. In this work, we apply Löwdin's canonical orthogonalization method to study the linearly dependent problems arising from the variational calculations based on Hylleraas configuration‐interaction (Hy‐CI) basis functions. Both the ground and excited states of He atom are calculated with increasingly large basis sets. Our results show that the linear dependence in Hy‐CI basis sets can be successfully overcome by employing Löwdin's canonical orthogonalization method, yet without using extended higher‐precision arithmetic in numerical implementations. Therefore, the computational effort can be reduced considerably. It is expected that the present method can be applied to other types of explicitly correlated basis functions.

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Weak interaction studies at SARAF

et al. 2018

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We review the current status of the radioisotopes program at the Soreq Applied Research Accelerator Facility (SARAF), where we utilize an electrostatic-ion-beam trap and a magneto-optical trap for studying the nuclear β -decay from trapped radioactive atoms and ions. The differential energy spectra of β 's and recoil ions emerging from the decay is sensitive to beyond standard model interactions and is complementary to high energy searches. The completed facility SARAF-II will be one of the world's most powerful deuteron, proton and fast neutron sources, producing light radioactive isotopes in unprecedented amounts, needed for obtaining enough statistics for a high precision measurement.

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Electron emission and recoil effects following the beta decay ofHe6

Cited by 11 publications

References 16 publications

Charge-state distribution of Li ions from the β decay of laser-trapped He6 atoms

Charge-state distribution of Li ions from the β decay of laser-trapped He6 atoms

Linear dependence in Hylleraas configuration‐interaction calculations of He atom

Weak interaction studies at SARAF

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