Determination of the asymptotic D- to S-state ratio of the deuteron from sub-Coulomb (d, p) measurements

doi:10.1016/0370-2693(82)90175-7

Physics Letters B

Volume 118, Issues 4–6, 9 December 1982, Pages 241-244

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Abstract

Measurements of the tensor analyzing powers for sub-Coulomb ( $d$ , p) reactions on ²⁰⁸Pb have been reanalyzed to obtain a new value of η, the deuteron asymptotic D- to S-state wave function ratio. The new analysis includes corrections for finite-range effects, deuteron-nucleus tensor forces and deuteron stretching. Our result, η = 0.0271 ± 0.0008, is (3–4)% larger than the values derived from conventional nucleon-nucleon potentials.

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Cited by (25)

Empirical continuation of polarization observables to the transfer pole for the determination of the deuteron D- to S-state asymptotic normalization
1989, Nuclear Physics, Section A
The general method for the empirical continuation to the transfer pole of polarization observables in nuclear reaction is presented. A critical review of the reliability and stability of the angular continuation method and the problems involved are given. We point out the reasons of the quite different difficulties which arise in the continuation of the polarization observables from the ¹H(d, p)²H reaction by any method applied so far, and propose a way to avoid the failure. In a refined analysis a new deuteron η_d = A_D/A_S value of 0.0273 ± 0.0005 has been derived from the polarization observables of the ²H(d, p)³H reaction. This new value is stable and in good agreement with previous results.
Analyzing power of the reaction 12C(d, p) leading to bound and unbound states in 13C
1988, Nuclear Physics, Section A
D-state effects in (α, d) reaction
1987, Nuclear Physics, Section A
The effect of the D-state of the alpha particle internal motion on the cross sections of the (α, d) reaction is investigated in the framework of a full finite range distorted-wave Born-approximation model. We have also performed calculations for this effect within a no-recoil peripheral model suggested previously. In both models the effect of the D-state is to enhance the cross sections for transitions to unnatural parity states and suppress them for transitions to natural parity states. However, the magnitude of this enhancement and suppression is much smaller than that reported earlier. In the no-recoil peripheral model only the absolute magnitudes of the differential cross sections are affected by the D-state. On the other hand, both absolute magnitudes as well as shapes of these cross sections are altered by the D-state effects in the full finite range calculations. This effect is particularly strong for momentum mismatched transitions where the D-state effects introduce large changes in the differential cross sections at relatively higher scattering angles leading to a better agreement between calculations and the experimental data.
D-state effects in the 40Ca(d, t<inf>0</inf>), (d, 3He<inf>0</inf>) and (d, α<inf>0</inf>) reactions at E<inf>d</inf> = 20 MeV
1987, Physics Letters B
Precise measurements of a complete set of analyzing powers for the (d, t₀), (d, ³He₀) and (d, α₀) reactions from ⁴⁰Ca at E_d = 20 MeV have been analyzed in finite range DWBA. Deuteron tensor potentials and D-state amplitudes in a cluster expansion of the light fragments are included. From the data in the transfer peak region we obtain $D_{2} (^{3} H) = −0.20 ± 0.04 fm^{2}, D_{2} (^{3} He) = 0.25 ± 0.05 fm^{2} and D_{2} (^{4} He) = −0.19 ± 0.04 fm^{2−}$
Alpha-particle D-state and configuration-mixing effects in the 89Y(d, α)87Sr reaction
1986, Nuclear Physics, Section A
Angular distributions of cross sections and vector and tensor analyzing powers have been measured for low-lying levels populated by ⁸⁹Y(d, α)⁸⁷Sr reaction at 9.0, 12.0, and 16.0 MeV. Full finite-range DWBA calculations that include the effects of an α-particle D-state component and (L, J) mixing have been performed. The ground-state transition indicates that the D-state parameter D₂ = −0.30 ± 0.1 fm². The angular distributions of the tensor analyzing powers are very sensitive to the magnitude and sign of the mixing amplitudes and can be used to determine the neutron-proton configurations transferred. The mixing amplitudes for the 0.388 MeV and 0.873 MeV states in ⁸⁷Sr are established from the analysis.
Measurements of analyzing powers A<inf>y</inf>, A<inf>xx</inf>, A<inf>yy</inf> and A<inf>xz</inf> in dp elastic scattering at E<inf>d</inf> = 56 MeV
1984, Nuclear Physics, Section A
The differential cross section and all components of the analyzing powers A_y, A_xx, A_yy and A_xz have been measured in dp elastic scattering at 56 MeV. This is the first measurement of A_xz in the cyclotron energy region. A_xz has been measured with the beam polarized in the horizontal plane using the polarization tagging method. Faddeev calculations have been performed for four cases of the NN interaction. The Coulomb correction gave smaller effects at the present energy than at lower energies. Three of them reproduce the experimental data well. The agreement between the calculations and data for A_xz was better than that reported at lower energy. The deuteron asymptotic D- to S-state ratio has been obtained and is consistent within the limits of uncertainty with previously obtained values.

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^☆: Supported in part by the US Department of Energy and the SERC.

¹: Present address: Applied Physics Laboratory, 1013 NE 40th Street, Seattle, WA 98195, USA.

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Physics Letters B

Abstract

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Empirical continuation of polarization observables to the transfer pole for the determination of the deuteron D- to S-state asymptotic normalization

Analyzing power of the reaction <sup>12</sup>C(d, p) leading to bound and unbound states in <sup>13</sup>C

D-state effects in (α, d) reaction

D-state effects in the <sup>40</sup>Ca(d, t<inf>0</inf>), (d, <sup>3</sup>He<inf>0</inf>) and (d, α<inf>0</inf>) reactions at E<inf>d</inf> = 20 MeV

Alpha-particle D-state and configuration-mixing effects in the <sup>89</sup>Y(d, α)<sup>87</sup>Sr reaction

Measurements of analyzing powers A<inf>y</inf>, A<inf>xx</inf>, A<inf>yy</inf> and A<inf>xz</inf> in dp elastic scattering at E<inf>d</inf> = 56 MeV

Determination of the asymptotic D- to S-state ratio of the deuteron from sub-Coulomb (d, p) measurements☆

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Determination of the asymptotic D- to S-state ratio of the deuteron from sub-Coulomb ( $d$ , p) measurements☆