E-2 and E-4 reduced matrix elements of Gd-154, Gd-156, Gd-158, Gd-160 and Hf-176, Hf-178, Hf-180
Dec, 1977
9 pages
Published in:
- Phys.Rev.C 16 (1977) 2208-2217
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Abstract: (APS)
Coulomb excitation by He4 ions was studied to deduce the electric quadrupole and hexadecapole reduced transition matrix elements of deformed gadolinium and hafnium nuclei. Our values of 〈0+∥M(E2)∥2+〉 for Gd154,156,158,160 are 1.962(20), 2.136(7), 2.230(12), and 2.269(14) eb. For Hf176,178,180 they are 2.281, 2.204, and 2.176 eb. The values of 〈0+∥M(E4)∥4+〉 for Gd156,158,160 are 0.42 ± 0.08, 0.34+0.20−0.22, and 0.35+0.09−0.07 eb2. For Hf176,178,180 they are 0.26 ± 0.12, 0.23+0.11−0.20, and 0.21+0.11−0.16 eb2, if positive values are taken, and -0.76 ± 0.15, -0.67 ± 0.20, and -0.65 ± 0.16 eb2 if they are negative. We compare our measurements with other experimental values and with theoretical predictions of quadrupole and hexadecapole moments.
NUCLEAR REACTIONS Gd154,156,158,160(α,α′), Hf176,178,180(α,α′) Eα=11.5−14 MeV; measured Coulomb excitation cross sections at θlab=150°; deduced 〈0+∥M(E2)∥2+〉, 〈0+∥M(E4)∥4+〉 using rotational model; extracted model-dependent charge deformation parameters β2c, β4c.References(41)
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