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Shell model analysis of the $ B(E2,2^+ \rightarrow 0^+)$'s in the A=70 T=1 triplet

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arxiv 2106.10269 v1 pith:L4IFD6GR submitted 2021-06-18 nucl-th nucl-ex

classification nucl-thnucl-ex
keywords statecalculationsisobaricjun45modelrightarrowshelltriplet
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

he $B(E2,2^+ \rightarrow 0^+)$ transition strengths of the T=1 isobaric triplet $^{70}$Kr, $^{70}$Br, $^{70}$Se, recently measured at RIKEN/RIBF, are discussed in terms of state of the art large scale shell model calculations using the JUN45 and JUN45+LNPS plus Coulomb interactions. In this letter we argue that, depending on the effective charges used, the calculations are either in line with the experimental data within statistical uncertainties, or the anomaly happens in $^{70}$Br, rather than $^{70}$Kr. In the latter case, we suggest that it can be due to the presence of a hitherto undetected 1$^+$ T=0 state below the yrast 2$^+$ T=1 state. Our results do not support a shape change of $^{70}$Kr with respect to the other members of the isobaric multiplet.

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