Table 2 Calculated matrix elements.

From: Electromagnetic character of the competitive γγ/γ-decay from 137mBa

Matrix element

EDF+QPM

MCSM

Matrix element

EDF+QPM

MCSM

 

e fmL

e fmL

 

e fmL

e fmL

\(\langle 3/{2}_{1}^{+}| | {\rm{M1}}| | 5/{2}_{1}^{+}\rangle\)

−0.11

−0.139

\(\langle 5/{2}_{1}^{+}| | {\rm{E3}}| | 11/{2}_{1}^{-}\rangle\)

−168

57.2

\(\langle 3/{2}_{1}^{+}| | {\rm{M1}}| | 5/{2}_{2}^{+}\rangle\)

−0.03

0.172

\(\langle 5/{2}_{2}^{+}| | {\rm{E3}}| | 11/{2}_{1}^{-}\rangle\)

−57.3

−81.9

\(\langle 3/{2}_{1}^{+}| | {\rm{M1}}| | 5/{2}_{3}^{+}\rangle\)

−0.04

0.183

\(\langle 5/{2}_{3}^{+}| | {\rm{E3}}| | 11/{2}_{1}^{-}\rangle\)

−90.2

−128

\(\langle 3/{2}_{1}^{+}| | {\rm{E2}}| | 7/{2}_{1}^{+}\rangle\)

63.9

39.0

\(\langle 7/{2}_{1}^{+}| | {\rm{M2}}| | 11/{2}_{1}^{-}\rangle\)

1.14

−0.0518

\(\langle 3/{2}_{1}^{+}| | {\rm{E2}}| | 7/{2}_{2}^{+}\rangle\)

−46.4

4.99

\(\langle 7/{2}_{2}^{+}| | {\rm{M2}}| | 11/{2}_{1}^{-}\rangle\)

0.76

−0.112

  1. Transition matrix elements of the lowest-energy transitions, in each model, calculated using the EDF + QPM and MCSM models for the states that contribute to the double-γ decay in 137Ba. The EDF + QPM values for the magnetic transitions correspond to \({g}_{{\rm{s}}}^{{\rm{eff}}}=0.6{g}_{{\rm{s}}}^{{\rm{bare}}}\) while the MCSM values correspond to \({g}_{{\rm{s}}}^{{\rm{eff}}}={g}_{{\rm{s}}}^{{\rm{bare}}}\). The states that dominate the decay in each model have been highlighted with bold font.