β-delayed deuteron emission from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>

Anthony, Desiree; Buchmann, L.; Bergbusch, P. C.; D'Auria, J. M.; Dombsky, M.; Giesen, U.; Jackson, K. P.; King, J.D.; Powell, J.R.; Barker, F.C.

doi:10.1103/physrevc.65.034310

Cited by 30 publications

(100 citation statements)

References 20 publications

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“…s −1 for a cutoff E > 370 keV, which agreed with the old experimental results [3]. The second measurement [5] was performed in 2015 by the same collaboration at the REX-ISOLDE facility.…”

supporting

confidence: 76%

“…Hc, 21.45.+v, 21.60.Gx, 27.20.+n The β-delayed deuteron decay of 6 He, i.e. the β decay of 6 He into 4 He and a deuteron,has been measured several times with various results for its very small branching ratio [1][2][3][4][5]. The smallness of the branching was first explained as a cancellation between the internal and halo parts of the Gamow-Teller matrix element by a semi-microscopic model in Ref.…”

mentioning

confidence: 99%

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Updated three-body model of He6β decay into the α+d continuum

2018

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The β-decay process of the 6 He halo nucleus into the α + d continuum is studied in an updated three-body model. The 6 He nucleus is described as an α+n+n system in hyperspherical coordinates on a Lagrange-mesh. The shape and absolute values of the transition probability per time and energy units of new experiments are reproduced with a modified α + d potential. The obtained total transition probabilities are 2.48 × 10 −6 s −1 for the full energy region and 2.40 × 10 −6 s −1 for the cut-off E > 150 keV. The strong cancellation between the internal and halo parts of the β decay matrix element is a challenge for future ab initio calculations.PACS numbers: 23.40. Hc, 21.45.+v, 21.60.Gx, 27.20.+n The β-delayed deuteron decay of 6 He, i.e. the β decay of 6 He into 4 He and a deuteron,has been measured several times with various results for its very small branching ratio [1][2][3][4][5]. The smallness of the branching was first explained as a cancellation between the internal and halo parts of the Gamow-Teller matrix element by a semi-microscopic model in Ref. [6]. This interpretation was confirmed by later models (see references in Ref. [7]) but all results are very sensitive to tiny details. The branching ratio that we obtained in a three-body model [7,8] agreed with the data of the most recent experiment at that time [3]. This is due to a good description of the ground-state energy and halo of 6 He with an α + n + n wave function and to a potential fitting the α + d s-wave phase shift and the normalization of the experimental curve.Since the publication of our calculation [7,8], two measurements [4,5] were performed, which update the experimental data and challenge our theoretical transition probabilities of the process. The first measurement by the ISOLDE collaboration in 2009 [4] used the technique of implantation into a highly segmented silicon detector. A branching ratio B = (1.65 ± 0.10) × 10 −6 was obtained for deuterons with energies above 350 keV with a 6% error. The corresponding transition probability is W = (1.42±0.09)×10 −6 s −1 for E d > 350 keV. The data slightly underestimates our previous theoretical results, 2.04 × 10 −6 s −1 for the full energy range or 1.59 × 10 . The shape of the spectrum is found to be in a good agreement with the three-body model [7,8], while the total transition probability is [2.39±0.06(stat)±0.15(sys)]×10which is about 20% larger than our theoretical prediction of Ref.[8], while the shape of the spectrum is in excellent agreement with theory. The aim of the present report is to update the theoretical model [7,8] and describe the new experimental data [5] with high precision. We also discuss expectations for theoretical progress. The 6 He nucleus is described as an α + n + n system in hyperspherical coordinates on a Lagrange mesh (see Ref.[9] for details). The ground-state wave function Ψ6 He (r, R) is then expressed and normalized in Jacobi coordinates: r between the neutrons and R between the α core and the center of mass of these neutrons. The transition probability p...

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“…s −1 for a cutoff E > 370 keV, which agreed with the old experimental results [3]. The second measurement [5] was performed in 2015 by the same collaboration at the REX-ISOLDE facility.…”

supporting

confidence: 76%

mentioning

confidence: 99%

Updated three-body model of He6β decay into the α+d continuum

2018

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“…The 6 He ground state wave function contains components with total intrinsic spin S = 0 and 1. The total orbital momentum L is equal to S. Because of the positive parity, l x + l y is even and the sums in Eq.…”

Section: Modelmentioning

confidence: 99%

“…We will choose several versions of the central interaction potential between α and d: a deep Gaussian potential [15] which fits both the s-wave phase shift and the binding energy of the 6 Li ground state (1.473 MeV), and potentials obtained by folding the α + N potential of Voronchev et al [16]. For the sake of comparison we will also perform a calculation with a repulsive α + d potential which was used in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Erratum: Analysis of theHe6β decay into theα+dcontinuum within a three-body model [Phys. Rev. C73, 014303 (2006)]

Tursunov¹,

Baye²,

Descouvemont³

2006

Phys. Rev. C

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The β-decay process of the 6 He halo nucleus into the α + d continuum is studied in a three-body model. The 6 He nucleus is described as an α + n + n system in hyperspherical coordinates on a Lagrange mesh. The convergence of the Gamow-Teller matrix element requires the knowledge of wave functions up to about 30 fm and of hypermomentum components up to K = 24. The shape and absolute values of the transition probability per time and energy units of a recent experiment can be reproduced very well with an appropriate α + d potential. A total transition probability of 1.6 × 10 −6 s −1 is obtained in agreement with that experiment. Halo effects are shown to be very important because of a strong cancellation between the internal and halo components of the matrix element, as observed in previous studies. The forbidden bound state in the α + d potential is found essential to reproduce the order of magnitude of the data. Comments are made on R-matrix fits.

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Nuclear Halos and Experiments to Probe Them

Riisager

The Euroschool Lectures on Physics With Exotic Beams, Vol. II

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β-delayed deuteron emission from6He

Cited by 30 publications

References 20 publications

Updated three-body model of He6β decay into the α+d continuum

Updated three-body model of He6β decay into the α+d continuum

Erratum: Analysis of theHe6β decay into theα+dcontinuum within a three-body model [Phys. Rev. C73, 014303 (2006)]

Nuclear Halos and Experiments to Probe Them

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