Phase shift analysis of d-α scattering

McIntyre, L.C.; Haeberli, W.

doi:10.1016/0375-9474(67)90049-8

Cited by 86 publications

(18 citation statements)

References 25 publications

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“…This high precision allows us to obtain wave functions that are in excellent agreement with the known asymptotic expressions in each of the partial waves. After that, we show that the S-wave potential can be modified in such a way that it reproduces correctly the asymptotic normalization coefficient without impairing the previous description of the binding energy of the nucleus, the description of the phase shifts being in better agreement with more recent data from [16] than with older data from [17,18].…”

Section: Introductionmentioning

confidence: 70%

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Theoretical analysis of the astrophysical S-factor for the capture reaction α + d → 6Li + γ in the two-body model

2015

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Theoretical estimates for the astrophysical S-factor and the rate of the reaction d (α, γ) 6 Li were obtained on the basis of the two-body model involving an α−d potential that has a simple Gaussian form and which describes correctly S-, P -, and D-wave phase shifts, the binding energy, and the asymptotic normalization coefficient for the S-wave bound state. The wave functions for the bound and continuum channels were calculated with the aid of the highly precise Numerov algorithm. The results for the contributions of the E1 and E2 transition components reveal a good convergence as the upper limit in the effective integrals increases up to 40 fm. The results obtained for the astrophysical S-factor and the rate of the reaction d(α, γ) 6 Li in the temperature range of 10 6 K ≤ T ≤ 10 10 K agree well with the results of the calculations performed by A.M. Mukhamedzhanov and his coauthors [Phys. Rev. C 83, 055805 (2011)] by using the known asymptotic form of the wave function at low energies and a complicated two-body potential at higher energies.

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Section: Introductionmentioning

confidence: 70%

“…1. S-wave phase shifts obtained for elastic α + d scattering with the potentials VD and VM along with the experimental data borrowed from[16][17][18]. the appropriate Coulomb interaction from [13] with 2 /2m N = 20.7343 MeV fm 2 .…”

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confidence: 99%

Theoretical analysis of the astrophysical S-factor for the capture reaction α + d → 6Li + γ in the two-body model

2015

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“…In order to do so, the depth V J 0 has been fitted to the experimental scattering phase shifts for every initial channel, minimizing the χ 2 of the calculated phase shifts with respect to the available experimental data taken from Refs. [24][25][26][27][28]. In this procedure, we minimized the χ 2 changing the value of V J 0 .…”

Section: Potentialmentioning

confidence: 99%

α+d→Li6+γ astrophysical S factor and its implications for Big Bang nucleosynthesis

et al. 2017

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The α + d → 6 Li + γ radiative capture is studied in order to predict the 6 Li primordial abundance. Within a two-body framework, the α particle and the deuteron are considered the structureless constituents of 6 Li. Five α + d potentials are used to solve the two-body problem: four of them are taken from the literature, only one having also a tensor component. A fifth model is here constructed in order to reproduce, besides the 6 Li static properties as binding energy, magnetic dipole, and electric quadrupole moments, also the S-state asymptotic normalization coefficient (ANC). The two-body bound and scattering problem is solved with different techniques, in order to minimize the numerical uncertainty of the present results. The long-wavelength approximation is used, and therefore only the electric dipole and quadrupole operators are retained. The astrophysical S factor is found to be significantly sensitive to the ANC, but in all the cases in good agreement with the available experimental data. The theoretical uncertainty has been estimated of the order of few percent when the potentials which reproduce the ANC are considered, but increases up to 20% when all five potential models are retained. The effect of this S-factor prediction on the 6 Li primordial abundance is studied, using the public code PArthENoPE. For the five models considered here we find 6 Li/H = (0.9-1.8) × 10 −14 , with the baryon density parameter in the 3-σ range of Planck 2015 analysis, b h 2 = 0.022 26 ± 0.000 23.

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“…Then we have two inelastic exit channels 5 He-p and 5 Li-n and one entrance channel a-D. The calculus of the NIA is almost the same to that of the OIA but the S-and P-waves in both exit channels are subtr11cted completely in the NIA.…”

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confidence: 98%

Mechanism ofD(α, αp)nReaction

Nakamura

1972

Prog. Theor. Phys.

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April 25, 1972In a previous paper,t> we proposed a theory of new impulse approximation (NIA) for the deuteron break-up process induced by alpha particles and obtained a considerably better fit to the experimental data of D(a,ap)n reaction of Elab=29.2MeV 2 >, 42 Me V 3 > and 165 Me V 4 > than the simple impulse approximation or the spectator model, though we could not find out satisfactory theoretical basis. In the present short note, we try to improve the theory and to clarify the specific mechanism. We also emphasize the importance of the data of D (a, ap) n reaction with energy E1ab

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Phase shift analysis of d-α scattering

Cited by 86 publications

References 25 publications

Theoretical analysis of the astrophysical S-factor for the capture reaction α + d → 6Li + γ in the two-body model

Theoretical analysis of the astrophysical S-factor for the capture reaction α + d → 6Li + γ in the two-body model

α+d→Li6+γ astrophysical S factor and its implications for Big Bang nucleosynthesis

Mechanism ofD(α, αp)nReaction

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