Phase-shift analysis of 3He(d, d)3He scattering

doi:10.1016/0375-9474(80)90080-9

Nuclear Physics A

Volume 337, Issue 1, 17 March 1980, Pages 77-106

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Abstract

Between 0.32 and 5.0 MeV deuteron energy a phase-shift analysis of ³He(d, d)³He crosssection and deuteron analyzing-power data has been made. Expressions relating the analyzing powers to the scattering amplitudes are derived and an energy-independent parametrization of threechannel scattering matrices is given. The analysis includes spin-orbit splitting, mixing of states and loss of flux to reaction channels. Excellent fits have been obtained. However, the data set has proved to be too incomplete to permit a unique determination of the relevant parameters. At low energies continuum ambiguities have been found and explored. Common properties of the solutions point to the existence of several broad highly excited states of the ⁵Li nucleus.

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Big Bang Nucleosynthesis (BBN) relevance reactions ³He(²H, γ)⁵Li, ³H(³He, γ)⁶Li, and ⁵Li(n, γ)⁶Li as a key to approach for scenario of ⁶Li formation are treated. The rates of reaction for these processes are analyzed. Comparison of the reactions rates and the prevalence of light elements leads to the assumption that the two-step process ²H + ³He $\to^{5}$ Li + γ and n + ⁵Li $\to^{6}$ Li + γ can make a significant contribution to the formation of ⁶Li at the BBN at least at temperatures $T_{9}$ of the order of unity. Calculations of the total cross sections, astrophysical S-factor, and reaction rates have been performed for ³He(²H, γ)⁵Li radiative capture within the modified potential cluster model with forbidden states, which follow from the classification of the orbital cluster states according to Young diagrams. Numerical data and corresponding parametrizations cover the energy range up to 5 MeV and temperature range $T_{9}$ < 10. An updated compilation of detailed data for the reaction ³He(²H, γ)⁵Li are presented.
The elastic scattering of polarized 3He by 2H at 22.5, 24, 27, 30 and 33 MeV
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The angular distributions of the analysing power and the relative cross-sections for the elastic scattering of polarized $^{3} He$ nuclei by $^{2} H$ have been measured at incident $^{3} He$ energies of 22.5, 24, 27, 30 and 33 MeV. The data, considered in terms of fitted Legendre polynomials, clearly show a structure near 30 MeV $^{3} He$ energy which is more striking for odd L coefficients. In addition, our data, along with other data on the differential cross sections and on the analysing power for the scattering of polarized $^{2} H$ , have been analysed for the phase shifts and mixing parameters in the S-matrix description. The phase shifts selected are compared with those from resonating-group theory calculations. The prominent residual differences were attributed to further resonances which involve the formation of $^{5} Li$ nuclei at high excitation energy. Finally a level scheme is compared with the predictions of a multi-particle, multi-shell model calculation.
Breakup of 3He with 59.6 MeV vector-polarized deuterons at dp quasifree-scattering conditions
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The ³He breakup reaction has been studied with 59.6 MeV vector-polarized deuterons at dp quasifree-scattering (QFS) conditions. In the coincidence energy spectra, large bumps corresponding to the QFS were observed. The calculation in the simple plane-wave impulse approximation (PWIA) qualitatively reproduces the energy spectra, but for the absolute cross sections, the ratio of the experimental values to the calculated values in the PWIA is about 0.27. As for the analyzing powers, the experimental values are greatly reduced as compared with the dp elastic-scattering data. The multiple-scattering effect has been investigated by a calculation taking account of the effects of double-scattering terms on the cross sections and the analyzing powers.
The generalized potential-model description of p+d and d+3He scattering
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A supermultiplet expansion of the reaction amplitude T_LS is suggested for the problem of interaction between p+d, d³+He clusters. We exhibit the nonpotential character of channels with $S= 12$ , where the scattering amplitude is written as a superposition of the potential amplitudes $T^{[ƒ]}_{L}$ with different symmetries [ƒ]. The interaction potentials V^[ƒ]_L are constructed, $[ƒ] = [21], [3]$ and $[ƒ]=[32], [41]$ for p+d and d+³He, respectively. The differential cross sections for inelastic scattering with the deuteron spin-isospin flip, which correspond to the available experimental data in the low-energy region for p+d, are predicted at higher energies, as well as for the d+³He system in a broad energy interval.
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^†: Present address: University of Wisconsin, Madison, Wisc., 53706, USA.

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Nuclear Physics A

Abstract

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Radiative <sup>3</sup> He( <sup>2</sup> H, γ) <sup>5</sup> Li capture at astrophysical energy and its role in accumulation of <sup>6</sup> Li at the BBN

The elastic scattering of polarized <sup>3</sup>He by <sup>2</sup>H at 22.5, 24, 27, 30 and 33 MeV

Breakup of <sup>3</sup>He with 59.6 MeV vector-polarized deuterons at dp quasifree-scattering conditions

The generalized potential-model description of p+d and d+<sup>3</sup>He scattering

The low-energy <sup>3</sup>He(d, p)<sup>4</sup>He and <sup>3</sup>H(d, n)<sup>4</sup>He reactions with polarized deuterons

Hot nuclear matter at low density