Phase-shift analysis of d-α elastic scattering between 3 and 17 MeV

Jenny, Bernhard; Grüebler, W.; König, V.; Schmelzbach, P.A.; Schweizer, C.

doi:10.1016/0375-9474(75)90048-2

Cited by 91 publications

(46 citation statements)

References 11 publications

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“…The s-wave phase shifts for the different α + d potentials are compared in Fig. 1 with the results of phase-shift analyses [23,24]. The description of the α + d phase shift is poorest for the repulsive potential.…”

Section: A Conditions Of the Calculationmentioning

confidence: 99%

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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Section: A Conditions Of the Calculationmentioning

confidence: 99%

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 information on these data can be found in [3,7] and in references therein. In the present approach several sets of scattering phases obtained from the phase-shift analyses of dα scattering [8,9] as well as from the Faddeev calculations [3] are used as the input. The coefficients of the Coulomb-modified two-channel effective range function [6] are found by fitting the input data including the binding energy ϵ of 6 Li in the α+d channel.…”

Section: Methods and Resultsmentioning

confidence: 99%

“…Within this method, we utilize the values of l and ε from Refs. [3,8,9] to construct the S matrix for the dα scattering and the corresponding K matrix. Above the inelastic threshold the K matrix is complex.…”

Section: Methods and Resultsmentioning

confidence: 99%

“…On the other hand, the d wave quantities (l = 2) are sensitive both to the type of the input and to the way of allowing for inelasticity effects. This fact might be related to smaller absolute values and worse accuracy of the phase shifts 2 from [8,9] as compared with 0 . Nevertheless, in spite of large spread of the C 2 values presented in Tables 1 and 2, it is significant that in all cases the sign of C 2 (relative to C 0 ), which up to now has not been reliably established, turns out to be positive.…”

Section: Discussionmentioning

confidence: 99%

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Analytic continuation of scattering data as a method of obtaining characteristics of bound states

Blokhintsev

Savin

2014

EPJ Web of Conferences

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Abstract. The method of the analytic continuation of the effective range function is applied to obtain the asymptotic normalization coefficients for 6 Li nucleus in the α+d channel. Several sets of scattering phases obtained from the phase-shift analyses as well as from Faddeev calculations are used as an input. Since the α+d system possesses the low-lying inelastic threshold due to the dissociation of a deuteron, the approach used is generalized to include inelastic channels. The sensitivity of the obtained values of asymptotic normalization coefficients to the elastic channels coupling and to account of the inelastic channel is investigated.

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“…The parameters of the depth of the potentials V 0 and V sl were fixed by fitting the experimental S, P and D phase shifts of the elastic α-d scattering [28][29][30][31][32] 6 Li correctly, the depth of the spin-orbital part of the potential for 3 D 1 state is taken slightly differently. We note that our fitted parameters of the Woods-Saxon potential are slightly different from the parameters used in Ref.…”

Section: α-D Potentialsmentioning

confidence: 99%