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- W2275652502 abstract "The $ensuremath{alpha}ensuremath{-}ensuremath{gamma}$ angular correlation function, $W(ensuremath{theta})$, of the cascade ${mathrm{Bi}}^{212}(mathrm{ThC})stackrel{ensuremath{alpha}(6.04 mathrm{Mev})}{ensuremath{rightarrow}}{mathrm{Tl}}^{208*}stackrel{ensuremath{gamma}(40 mathrm{kev})}{ensuremath{rightarrow}}{mathrm{Tl}}^{208}(mathrm{Th}{mathrm{C}}^{ensuremath{'}ensuremath{'}})$ was determined by experiment to be consistent with a predicted law of the form $W(ensuremath{theta})=1+A{cos}^{2}ensuremath{theta}$. The ratio $frac{W(90ifmmode^circelsetextdegreefi{})}{W(180ifmmode^circelsetextdegreefi{})}$ was measured to be 1.2993, ifmmodepmelsetextpmfi{}0.0095 due to statistics, and ifmmodepmelsetextpmfi{}0.010 due to experimental corrections. Comparison of this result with predictions of $ensuremath{alpha}ensuremath{-}ensuremath{gamma}$ angular correlation theory shows that ${mathrm{Bi}}^{212}$ cannot have zero spin. Of fifty-four possibilities considered, it is shown that the following spin and parity assignments are most consistent with presently available experimental and theoretical evidence from several sources: the ground state of ${mathrm{Bi}}^{212}$ is 1(-), the 40-kev state of ${mathrm{Tl}}^{208}$ is 4(+), and the ground state of ${mathrm{Tl}}^{208}$ is 5(+). These assignments determine the orbital momenta of $ensuremath{alpha}$ particles emitted in the decay of ${mathrm{Bi}}^{212}$ to be a mixture of 3 and 5 units for the transition to the 40-kev state of ${mathrm{Tl}}^{208}$ and to be 5 units for the transition to the ground state of ${mathrm{Tl}}^{208}$. Using these values of orbital momenta in the Gamow theory, and in the Weisskopf-Devaney theory of $ensuremath{alpha}$ fine-structure, the theoretical ratios of decay probabilities for the two groups, $frac{ensuremath{lambda}(40 mathrm{kev})}{ensuremath{lambda}(0,)}$ are found to be in good agreement (10 to 50%) with the observed value. This agreement affords, in the case of ${mathrm{Bi}}^{212}$, an explanation for the prohibited decay to the ground state relative to the first excited state found for many non-even-even nuclei by Perlman, Ghiorso, and ${mathrm{Seaborg}.}^{1}$ Since the emission of the $ensuremath{alpha}$ particle with five units of orbital momentum hinders the decay ${mathrm{Bi}}^{212}$ ensuremath{rightarrow} ${mathrm{Tl}}^{208}$ (ground state) by a factor of 16, this helps to explain the unusual size of the departure factor (1000) given to this decay by Perlman et al." @default.
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- W2275652502 date "1956-01-15" @default.
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- W2275652502 title "Alpha-Gamma Angular Correlation inBi212(ThC)" @default.
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- W2275652502 doi "https://doi.org/10.1103/physrev.101.717" @default.
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