On the nuclear I · L potential

doi:10.1016/0375-9474(74)90408-4

Nuclear Physics A

Volume 226, Issue 2, 1 July 1974, Pages 319-325

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Abstract

Formulae are given for calculating the I · L (target spin) potential arising from single nucleon exchange effects and the nucleon-projectile two-body spin-orbit force. An estimate of the strength of this potential is made for the scattering of ⁴He from ⁹Be and ⁵⁹Co. While the effects arising from single nucleon exchange are found to be much more important than those arising from the two-body spin-orbit force, neither mechanism is sufficiently important to explain the experimental data.

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A DWBA formalism for knockout-exchange reactions of composite nuclei
1983, Nuclear Physics, Section A
A DWBA formulation of the knockout-exchange scattering of composite projectiles having zero internal orbital angular momentum is presented. The model problem assumes a target nucleus heavy enough to allow the neglect of its recoil. The formalism accommodates any form of nucleon-nucleon potential containing central, tensor and spin-orbit terms which are treated on the same footing, with no multipole expansions. The nonlocal radial integrals assume transition nucleon exchange density matrices characteristic of finite potential well shell-model target and cluster model projectile wave functions. The usefulness of the formalism is demonstrated with a PWBA numerical application to the ²⁶Mg(⁶Li, ⁶He)²⁶Al reaction.
Dynamically induced spin-dependent interaction in the elastic scattering of heavy ions
1982, Physics Letters B
Dynamical polarization effects in heavy-ion elastic scattering are investigated in the framework of the coupled-reaction channel theory. By using the adiabatic approximation at low incident energies, these effects are expressed as a spin-orbit ( $L · S$ ) interaction with a $L$ - and $S$ independent radial function. The strength of the ( $L · S$ ) interaction calculated for the ¹²C + ¹³C system is in the same order of magnitude as deduced from experiments and is about two orders of magnitude larger than that obtained from the folding model calculation.
Spin-flip probability in heavy-ion inelastic scattering
1981, Physics Letters B
The spin-flip probability S(θ) was observed in the reactions ¹²C(¹³C, ¹³C′)¹²C(2⁺₁) and ¹²C(¹⁵N, ¹⁵N′)¹²C(2⁺₁) at $E(^{13} C) = 87$ and $E(^{15} N) = 94 MeV$ , respectively, by particle-gamma angular correlations, in which gamma rays emitted both in-plane and out-of-plane were detected. Distorted-wave Born-approximation (DWBA) calculations required a strength of 2–3 MeV for the spin-orbit interaction to reproduce the observed S(θ), which is significantly larger than that given by the folding-model description.
Folding model potentials from realistic interactions for heavy-ion scattering
1979, Physics Reports
The double-folding model, with “realistic” nucleon-nucleon interactions based upon a G-matrix constructed from the Reid potential, is used to calculate the real part of the optical potential for heavy-ion scattering. The resulting potentials are shown to reproduce the observed elastic scattering for a large number of systems with bombarding energies from 5 to 20 MeV per nucleon. Some representative inelastic transitions are also reproduced. Exceptions are the elastic scattering of ⁶Li and ⁹Be for which the folded potentials must be reduced in strength by a factor of about two.
The same effective interactions are shown to give a good account of two particular cases of alpha scattering as well as some cases of nucleon-nucleus scattering. Some typical examples of inelastic heavy-ion scattering are also predicted successfully.
Some general properties of the folding model are reviewed and its theoretical basis is discussed. An explicit density-dependence is examined for one particular realistic interaction and found not to change the results. Single nucleon exchange is included in an approximate way and its importance is studied.
In addition to being a study of the folding model, this work also provides a systematic and comprehensive optical model analysis of heavy-ion elastic scattering in this energy range.
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1983, Zeitschrift für Physik A Atoms and Nuclei
Observation of spin flip in C13 + Mg24 inelastic scattering
1979, Physical Review Letters

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^†: Research supported in part by the National Science Foundation, Grant no. GP-38988.

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Nuclear Physics A

Abstract

References (13)

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Phys. Lett.

Nucl. Phys.

Cited by (11)

A DWBA formalism for knockout-exchange reactions of composite nuclei

Dynamically induced spin-dependent interaction in the elastic scattering of heavy ions

Spin-flip probability in heavy-ion inelastic scattering

Folding model potentials from realistic interactions for heavy-ion scattering

Study of spin-orbit interaction of<sup>13</sup>C and<sup>15</sup>N nuclei in<sup>14</sup>C induced transfer reactions on<sup>138</sup>Ba

Observation of spin flip in C13 + Mg24 inelastic scattering