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Register a new userAccuracy of B(E2; 0+ -> 2+) transition rates from intermediate-energy Coulomb excitation experiments
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The method of intermediate-energy Coulomb excitation has been widely used to determine absolute B(E2; 0+ -> 2+) quadrupole excitation strengths in exotic nuclei with even numbers of protons and neutrons. Transition rates measured with intermediate-energy Coulomb excitation are compared to their respective adopted values and for the example of 26Mg to the B(E2; 0+ -> 2+) values obtained with a variety of standard methods. Intermediate-energy Coulomb excitation is found to have an accuracy comparable to those of long-established experimental techniques.
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The reduced transition probability B(E2) of the first excited 2+ state in the nucleus 104Sn was measured via Coulomb excitation in inverse kinematics at intermediate energies. A value of 0.163(26) e^2b^2 was extracted from the absolute cross-section on a Pb target, while the method itself was verified with the stable 112Sn isotope. Our result deviates significantly from the earlier reported value of 0.10(4) e^2b^2 and corresponds to a moderate decrease of excitation strength relative to the almost constant values observed in the proton-rich, even-A 106-114Sn isotopes. Present state-of-the-art shell-model predictions, which include proton and neutron excitations across the N=Z=50 shell closures as well as standard polarization charges, underestimate the experimental findings
The $T_z$~=~$-frac{3}{2}$ nucleus ${}^{21}$Mg has been studied by Coulomb excitation on ${}^{196}$Pt and ${}^{110}$Pd targets. A 205.6(1)-keV $gamma$-ray transition resulting from the Coulomb excitation of the $frac{5}{2}^+$ ground state to the first excited $frac{1}{2}^+$ state in ${}^{21}$Mg was observed for the first time. Coulomb excitation cross-section measurements with both targets and a measurement of the half-life of the $frac{1}{2}^+$ state yield an adopted value of $B(E2;frac{5}{2}^+rightarrowfrac{1}{2}^+)$~=~13.3(4)~W.u. A new excited state at 1672(1)~keV with tentative $frac{9}{2}^+$ assignment was also identified in ${}^{21}$Mg. This work demonstrates large difference of the $B(E2;frac{5}{2}^+rightarrowfrac{1}{2}^+)$ values between $T$~=~$frac{3}{2}$, $A$~=~21 mirror nuclei. The difference is investigated in the shell-model framework employing both isospin conserving and breaking USD interactions and using modern textsl{ab initio} nuclear structure calculations, which have recently become applicable in the $sd$ shell.
We report on the first experimental study of quadrupole collectivity in the very neutron-rich nuclei uc{47,48}{Ar} using intermediate-energy Coulomb excitation. These nuclei are located along the path from doubly-magic Ca to collective S and Si isotopes, a critical region of shell evolution and structural change. The deduced $B(E2)$ transition strengths are confronted with large-scale shell-model calculations in the $sdpf$ shell using the state-of-the-art SDPF-U and EPQQM effective interactions. The comparison between experiment and theory indicates that a shell-model description of Ar isotopes around N=28 remains a challenge.
The electric quadrupole transition from the first 2+ state to the ground 0+ state in 16C is studied through measurement of the lifetime by a recoil shadow method applied to inelastically scattered radioactive 16C nuclei. The measured lifetime is 75 +- 23 ps, corresponding to a B(E2;2_1+ -> 0^+) value of 0.63 +- 0.19 e2fm4, or 0.26 +- 0.08 Weisskopf units. The transition strength is found to be anomalously small compared to the empirically predicted value.
Background: Recent developments in {it ab initio} nuclear theory demonstrate promising results in medium- to heavy-mass nuclei. A particular challenge for many of the many-body methodologies, however, is an accurate treatment of the electric-quadrupole, $E2$, strength associated with collectivity. Purpose: In this work we present high-precision $E2$ data for the mirror nuclei $^{23}$Mg and $^{23}$Na for comparison with such theory. We interpret these results in combination with other recent measurements performed by the collaboration and the available literature. Methods: Coulomb-excitation measurements of $^{23}$Mg and $^{23}$Na were performed at the TRIUMF-ISAC facility using the TIGRESS spectrometer and were used to determine the $E2$ matrix elements of mixed $E2$/$M1$ transitions. Results: $E2$ transition strengths were extracted for $^{23}$Mg and $^{23}$Na. Transition strength ($B(E2)$) precision was improved by factors of approximately six for both isotopes, while agreeing within uncertainties with previous measurements. Conclusions: A comparison was made with both shell-model and {it ab initio} valence-space in-medium similarity renormalization group calculations. Valence-Space In-Medium Similarity-Renormalization-Group calculations were found to underpredict the absolute $E2$ strength - in agreement with previous results - but a full analysis of $sd$-shell nuclei found no indication of an isovector component to the missing strength. Comparison with full configuration interaction and coupled cluster calculations in the case of $^{14}$C indicates that correlated multi-particle multi-hole excitations are essential to the reproduction of quadrupole excitation amplitudes.
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