Angular Distribution and Correlation Studies of Be9, B10, and Mg24 (d, p) Reactions

Abstract

($d, p$) angular distributions have been measured along with ($p, \gamma$) correlations in ${\mathrm{Be}}^9$, ${\mathrm{B}}^{10}$, and ${\mathrm{Mg}}^{24}$ in order to test the applicability of stripping correlation theory and assign tentative quantum numbers. Deuteron energies were 2.5 to 4 Mev. All correlations exhibited the predicted deuteron energy independence and approximate angular symmetry in the ($d, p$) plane at energies above 3.5 Mev. The ${\mathrm{Be}}^9$ correlation was shown to be isotropic to ±7% in the plane perpendicular to the axis of the recoil nucleus. The observation of a ($d, p$) stripping peak 2 or 3 times the minimum yield is not a sufficient criterion for the observation of a correlation which is independent of deuteron energy. All correlations were of the form $1+A{cos}^2\theta$ (gamma, recoil nucleus). The observed $A\text{'}\mathrm{s}$ were -0.50, 0.00, +0.50, -0.40, for ${\mathrm{Be}}^{10*}$ (3.37 Mev), ${\mathrm{B}}^{11*}$ (4.46 Mev), ${\mathrm{B}}^{11*}$ (6.76 Mev), ${\mathrm{Mg}}^{25*}$ (3.40 Mev), respectively. All uncertainties in $A\text{'}\mathrm{s}$ were ±0.05. Spin ½ is ruled out for ${\mathrm{Mg}}^{25*}$ (3.40 Mev). The ${\mathrm{Be}}^9$ anisotropy is within 15% of one extreme of theoretically possible anisotropies. The incoming channel spin mixing ratio found in ${\mathrm{Be}}^9$ can be gotten by assuming pure $L-S$ coupling and a ${}_{}{}^3{}_{}{}^{}P_2^{}{}_{}{}^{}$ ${\mathrm{Be}}^{10*}$ level. The spin $\frac{9}{2}$ is unlikely for the ${\mathrm{B}}^{11*}$ (4.46 Mev) level, while the spin $\frac{3}{2}$ is ruled out and $\frac{9}{2}$ is unlikely for the ${\mathrm{B}}^{11*}$ (6.76 Mev) level.