Discovery of the shape coexisting 0+ state in 32Mg by a two neutron transfer reaction
K. Wimmer, T. Kr\"oll, R. Kr\"ucken, V. Bildstein, R. Gernh\"auser, B., Bastin, N. Bree, J. Diriken, P. Van Duppen, M. Huyse, N. Patronis, P., Vermaelen, D. Voulot, J. Van de Walle, F. Wenander, L.M. Fraile, R. Chapman,, B. Hadinia, R. Orlandi, J.F. Smith, R. Lutter

TL;DR
This study identifies a coexisting 0+ shape state in 32Mg via a two-neutron transfer reaction, revealing an unexpectedly low excitation energy and long lifetime, challenging existing theoretical models.
Contribution
It reports the first experimental identification of a shape coexistent 0+ state in 32Mg using inverse kinematics transfer reactions, with energy and lifetime measurements that challenge current theories.
Findings
Identified a 0+ shape coexistent state at 1058 keV.
Observed a lifetime exceeding 10 ns for this state.
Found excitation energy lower than theoretical predictions.
Abstract
The Island of Inversion nucleus 32Mg has been studied by a (t,p) two neutron transfer reaction in inverse kinematics at REX-ISOLDE. The shape coexistent excited 0+ state in 32Mg has been identified by the characteristic angular distribution of the protons of the DeltaL = 0 transfer. The excitation energy of 1058 keV is much lower than predicted by any theoretical model. The low gamma-ray intensity observed for the decay of this 0+ state indicates a lifetime of more than 10 ns. Deduced spectroscopic amplitudes are compared with occupation numbers from shell model calculations.
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