Elastic and Inelastic Scattering of 28-Mev Deuterons

Abstract

Natural lithium, polyethylene, and aluminum targets were bombarded with 28-Mev deuterons. The outgoing particles were analyzed with a scintillation spectrometer. The angular distributions for the following processes were measured: $\mathrm{Li}(d, d)\mathrm{Li}$, ${\mathrm{Li}}^7(d, d^{\prime }){\mathrm{Li}}^{7*}$—4.61 Mev, ${\mathrm{C}}^{12}(d, d){\mathrm{C}}^{12}$, ${\mathrm{C}}^{12}(d, d^{\prime }){\mathrm{C}}^{12*}$—4.43 Mev, ${\mathrm{Al}}^{27}(d, d){\mathrm{Al}}^{27}$, ${\mathrm{Al}}^{27}(d, d^{\prime }){\mathrm{Al}}^{27*}$—2.21 Mev, and ${\mathrm{H}}^1(d, p){\mathrm{H}}^2$. The ${\mathrm{Li}}^7(d, d^{\prime }){\mathrm{Li}}^{7*}$ 4.61-Mev angular distribution can be fitted by superimposing plane-wave direct-reaction curves corresponding to $l=0\mathrm{}$, $a=3.4\mathrm{}$ f and $l=2\mathrm{}$, $a=3.9\mathrm{}$ f, where $a$ is the interaction radius and $l$ the angular momentum change; this leads to an odd parity assignment for the level. The angular distribution of the reaction ${\mathrm{C}}^{12}(d, d^{\prime }){\mathrm{C}}^{12*}$—4.43 Mev is fitted by superimposing the curves of $l=0\mathrm{}$, $a=4.1\mathrm{}$ f and $l=2\mathrm{}$ with $a=4.6\mathrm{}$ f. The ${\mathrm{Al}}^{27}(d, d^{\prime }){\mathrm{Al}}^{27*}$—2.21 Mev angular distribution is adequately fitted with a curve of $l=1\mathrm{}$, $a=5.1\mathrm{}$ f; therefore there follows an odd parity assignment for the level. The possible spin assignments of the levels are discussed. The inelastic scattering curves yield some evidence of a total spin flip of the deuteron in the reaction. The elastic scattering angular distributions show the usual diffraction pattern, and interaction radii were calculated using an optical analogy that implies the scattering of waves from a black disk. The angular distribution of the interaction ${\mathrm{H}}^1(d, p){\mathrm{H}}^2$ is consistent with measurements performed at neighboring energies and it also agrees with the curve obtained with a Serber-type force.