Transfer reactions by heavy ions and finite-range DWBA calculations

doi:10.1016/0375-9474(72)90653-7

Nuclear Physics A

Volume 189, Issue 1, 10 July 1972, Pages 177-192

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Abstract

Experimental data of one-, three- and four-nucleon transfer reactions induced by the heavy-ion projectiles ¹⁶O and ¹⁹F on the targets ¹¹B and ¹²C are analyzed within the framework of finite-range DWBA. In many-nucleon transfer reactions, the cross section is composed of the coherent sum of amplitudes corresponding to the transfer of clusters with different intrinsic states. The spectroscopic amplitudes are calculated using the results of the intermediate-coupling shell model. The calculated cross sections can reproduce the experiments fairly well in most cases. The method is compared with other approximations from the viewpoint of the selection rules for the angular-momentum transfer.

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Cited by (47)

On the reaction mechanism of the two-nucleon transfer reaction 16O(6Li, α)18F
1986, Nuclear Physics, Section A
The two-nucleon transfer reaction ¹⁶(⁶Li, α)¹⁸F at E_L = 34 MeV is analyzed on the basis of the one-step (simultaneous) and two-step (successive) transfer processes. Exact finite-range calculations have been performed for both processes. The ground and first-excited states of ¹⁷F and ¹⁷O are taken into account in the two-step calculations. It is found that the calculated cross section due to the two-step process is comparable to that of the one-step process and is responsible for the backward rise of the angular distribution.
Four-nucleon transfer with the 32S(16O, 12C)36Ar reaction
1984, Nuclear Physics, Section A
Angular distributions have been measured for the ³²S(¹⁶O,¹²C)³⁶Ar reaction at 45.5 MeV leading to excited states between E_x, = 0 and 8 MeV. Experimental cross sections are compared with exact finite-range DWBA calculations in combination with extensive shell-model calculations, which include sd- and fp-shell configurations. Transitions to low-energy positive-parity states and bound negative-parity states are well reproduced. The calculations, however, fail to describe some high-energy positive-parity states. Calculations with a complete cluster expansion for the four transferred nucleons give about 50% larger cross sections, but can not explain the observed discrepancies. Possible interference of reaction processes other than direct α-transfer and special structure effects are discussed.
Multipole expansion of non-local coupling potentials for cluster transfer and application to 16O(16O, 12C)20Ne
1981, Nuclear Physics, Section A
When the transfer of clusters and the symmetrization (antisymmetrization) of scattering wave functions is described by cluster models within the coupled-channel formalism, non-local coupling potentials arise. We suggest a procedure to calculate these potentials by a multipole expansion of all potentials and wave functions which depend on sums of vectors. The expansion coefficients are found by least-squares fit. The method is applied to the ¹⁶O(¹⁶O, ¹²C)²⁰Ne reaction, which is treated in the cluster model with two inert ¹²C- and α-clusters as constituents.
Direct reaction analyses of heavy-ion induced reactions leading to discrete states
1980, Physics Reports
Transfer reactions induced by 17, 18O on 12, 13C at c.m. energies between 12.6 TO 14.0 MeV
1978, Nuclear Physics, Section A
Angular distributions for one-neutron and many-nucleon transfer reactions were measured in the systems ^{17, 18}O and ^{12, 13}C at c.m. energies between 12.6 to 14.0 MeV. All the cross sections were analyzed in terms of the full-recoil finite-range DWBA model. For multi-nucleon transfer processes an inert cluster transfer was assumed. The sensitivity of DWBA calculations to various parameter sets is discussed, and the effect of the no-recoil approximation on the phase and magnitude of the transfer amplitude is studied. For one-neutron transfer reactions the forward part of the angular distributions was reproduced reasonably well by the DWBA model, yielding satisfactory spectroscopic information. The rise of the cross section at the backward angles was not reproduced by the DWBA model. Possible contributions of cluster-exchange and compound-nucleus reactions are discussed. For multi-nucleon transfer reactions poorer fits were obtained, particularly in the ¹⁸O+¹²C system.
Elastic scattering of 17, 18O on 12, 13C at E<inf>c.m.</inf> = 12.6 - 14.0 MeV
1978, Nuclear Physics, Section A
The angular distributions of the elastic scattering of ^{17, 18}O on ^{12, 13}C were measured at c.m. energies between 12.6 to 14.0 MeV. A rise of the cross section at backward angles was observed. Standard optical-model fits were found to reproduce reasonably well the forward part of the cross section, but fail at backward angles. Possible contributions of first-order cluster exchange and compound-nucleus reactions are discussed. Excitation functions of various exit channels in the ¹⁸O + ¹²C system were measured at backward angles in the energy range of 12.0 to 14.8 MeV c.m. No significant correlation was found between any of these cross sections.

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^†: Present address: Osaka University, Osaka, Japan.

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Nuclear Physics A

Abstract

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Cited by (47)

On the reaction mechanism of the two-nucleon transfer reaction <sup>16</sup>O(<sup>6</sup>Li, α)<sup>18</sup>F

Four-nucleon transfer with the <sup>32</sup>S(<sup>16</sup>O, <sup>12</sup>C)<sup>36</sup>Ar reaction

Multipole expansion of non-local coupling potentials for cluster transfer and application to <sup>16</sup>O(<sup>16</sup>O, <sup>12</sup>C)<sup>20</sup>Ne

Direct reaction analyses of heavy-ion induced reactions leading to discrete states

Transfer reactions induced by <sup>17, 18</sup>O on <sup>12, 13</sup>C at c.m. energies between 12.6 TO 14.0 MeV

Elastic scattering of <sup>17, 18</sup>O on <sup>12, 13</sup>C at E<inf>c.m.</inf> = 12.6 - 14.0 MeV