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 $B(E2;2_1^{+}\to 0_1^{+})=7.63(19)$ 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.

arXiv comment6 pages, 6 figures, submitted to Phys. Rev. C

References in corpus (29)

• Tables of E2 Transition Probabilities from the first $2^{+}$ States in Even-Even Nuclei
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Ab initio calculation of the Hoyle state
• Recent developments in no-core shell-model calculations
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Microscopic Clustering in Light Nuclei
• Structure and rotations of the Hoyle state
• Similarity-Transformed Chiral NN+3N Interactions for the Ab Initio Description of 12-C and 16-O
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two- Plus Three-Nucleon Interactions
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Unambiguous Identification of the Second 2+ State in 12C and the Structure of the Hoyle State
• Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
• Quantum Monte Carlo Calculations of Light Nuclei
• A numerical canonical transformation approach to quantum many body problems
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Pair decay width of the Hoyle state and carbon production in stars
• Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
• Natural orbitals for ab initio no-core shell model calculations
• Cluster structure of light nuclei
• Systematics of 2+ states in C isotopes from the ab initio no-core shell model
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• Reorientation-effect measurement of the first 2${}^{+}$ state in ${}^{12}$C: confirmation of oblate deformation
• Nuclear Structure from the In-Medium Similarity Renormalization Group
• The Hoyle state and its relatives

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• Signatures of $\alpha$-clustering in ${}^{12}$C and ${}^{13}$C
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius
• Low-energy ${}^{12}$C continuum states in three-$\alpha$ model
• New data acquisition system of the Lintott magnetic spectrometer at the S-DALINAC
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics