# On the measurement of B(E2, 0$^{+}$_{1} -> 2^{+}$_{1}$) using intermediate-energy Coulomb excitation

Abstract : Coulomb excitation is a standard method used to extract quadrupole excitation strengths of even–even nuclei. In typical analyzes the reaction is assumed to be one step, Coulomb only, and is treated within a semi-classical model. In this work, fully quantal coupled-channel calculations are performed for three test cases in order to determine the importance of multi-step effects, nuclear contributions, feeding from other states and corrections to the semi-classical approximation. We study the excitation of $^{30}$S, $^{58}$Ni and $^{78}$Kr on $^{197}$Au at ≈50 A MeV. We find that nuclear effects may contribute more than 10% and that feeding contributions can be larger than 15%. These corrections do not alter significantly the published B(E2) values; however, an additional theoretical error of up to 13% should be added to the experimental uncertainty if the semi-classical model is used. This theoretical error is reduced to less than 7% when performing a quantal coupled-channel analysis.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00185471
Contributor : Sandrine Guesnon <>
Submitted on : Tuesday, November 6, 2007 - 10:56:48 AM
Last modification on : Tuesday, November 24, 2020 - 11:30:12 AM

### Citation

F. Delaunay, F.M. Nunes. On the measurement of B(E2, 0$^{+}$_{1} -> 2^{+}$_{1}$) using intermediate-energy Coulomb excitation. Journal of Physics G Nuclear Physics, Institute of Physics (IOP), 2007, 34, pp.2207-2213. ⟨10.1088/0954-3899/34/10/010⟩. ⟨in2p3-00185471⟩

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