arXiv · 2005.04072
Precision measurement of the $E2$ transition strength to the 2$^+_1$ state of $^{12}$C
Abstract
The form factor of the electromagnetic excitation of $^{12}$C to its 2$^+_1$ state was measured at extremely low momentum transfers in an electron scattering experiment at the S-DALINAC. A combined analysis with the world form factor data results in a reduced transition strength $B(E2; 2^+_1\rightarrow 0^+_1) =7.63(19)$ e$^2$fm$^4$ with an accuracy improved to 2.5\%. In-Medium-No Core Shell Model results with interactions derived from chiral effective field theory are capable to reproduce the result. A quadrupole moment $Q(2^+_1) = 5.97(30)$ efm$^2$ can be extracted from the strict correlation with the $B((E2)$ strength emerging in the calculations.
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A. D'Alessio, T. Mongelli, M. Arnold, S. Bassauer, J. Birkhan, M. Hilcker, T. Hüther, J. Isaak, L. Jürgensen, T. Klaus, P. von Neumann-Cosel, N. Pietralla, V. Yu. Ponomarev, P. C. Ries, R. Roth, M. Singer, G. Steinhilber, K. Vobig, V. Werner. 2020-05-08. Precision measurement of the $E2$ transition strength to the 2$^+_1$ state of $^{12}$C. https://doi.org/10.1103/physrevc.102.011302
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