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Shape changes in the mirror nuclei $^{70}$Kr and $^{70}$Se

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arxiv 2101.02363 v1 pith:ZOBREY6D submitted 2021-01-07 nucl-ex nucl-th

classification nucl-exnucl-th
keywords deviationelementsisospinmatrixmirrornucleiobservedshape
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We studied the proton-rich $T_z=-1$ nucleus $^{70}$Kr through inelastic scattering at intermediate energies in order to extract the reduced transition probability, $B(E2;\;0^+ \rightarrow 2^+)$. Comparison with the other members of the $A=70$ isospin triplet, $^{70}$Br and $^{70}$Se, studied in the same experiment, shows a $3\sigma$ deviation from the expected linearity of the electromagnetic matrix elements as a function of $T_z$. At present, no established nuclear structure theory can describe this observed deviation quantitatively. This is the first violation of isospin symmetry at this level observed in the transition matrix elements. A heuristic approach may explain the anomaly by a shape change between the mirror nuclei $^{70}$Kr and $^{70}$Se contrary to the model predictions.

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  1. Intruder-driven mirror energy differences between $^{29}$Cl and $^{29}$Mg studied with antisymmetrized molecular dynamics

    nucl-th 2026-07 conditional novelty 6.0 of 10

    AMD+GCM calculations predict that the 500 keV resonance in proton-unbound 29Cl is a 3/2- intruder state with a large Coulomb-driven mirror energy difference, not the previously assumed 3/2+ state.

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