Coexistence and fluctuations phenomena with Davidson-like potentials in quadrupole–octupole deformed nuclei

M M Hammad,W H Mansour,E M El-Maghraby,H A Motaweh,Ayman A Aly

Table 1. Theoretical and experimental energy spectra of 100Mo [43] and 146Nd [44], normalized to the energy of the first excited 2+ state. For each nucleus, the theoretical spectra ${{\epsilon }}_{i}^{Q},$ ${{\epsilon }}_{i}^{W},$ and ${{\epsilon }}_{i}^{{\rm{\Lambda }}}$ are the results from the potentials (8), (9a), and (9b), respectively. The brackets are used if the spin assignments are uncertain.

100Mo 146Nd ${L}^{+}$ ${{\epsilon }}_{i}^{\exp }$ ${{\epsilon }}_{i}^{Q}$ ${{\epsilon }}_{i}^{W}$ ${{\epsilon }}_{i}^{{\rm{\Lambda }}}$ ${{\epsilon }}_{i}^{\exp }$ ${{\epsilon }}_{i}^{Q}$ ${{\epsilon }}_{i}^{W}$ ${{\epsilon }}_{i}^{{\rm{\Lambda }}}$ Yrast ${0}^{+}$ 0 0 0 0 0 0 0 0 ${2}^{+}$ 1 1 1 1 1 1 1 1 ${4}^{+}$ 2.121 27 2.262 17 2.211 52 2.322 41 2.298 81 2.440 77 2.246 87 2.416 71 ${6}^{+}$ 3.448 66 3.569 56 3.572 88 3.707 91 3.922 43 3.991 42 3.642 52 3.931 76 ${8}^{+}$ 4.905 15 4.889 92 5.056 45 5.112 75 5.715 07 5.579 33 5.158 55 5.479 37 ${10}^{+}$ (6.285 85) (6.216 31) (6.644 81) (6.526 41) 7.315 34 7.183 33 6.777 89 7.041 51 ${12}^{+}$ (7.584 39) (7.545 76) (8.325 69) (7.944 75) 8.800 57 8.796 12 8.488 65 8.611 64 ${14}^{+}$ (9.101 38) (8.876 95) (10.0899) (9.365 87) 10.3442 10.4142 10.2820 10.1867 ${16}^{+}$ 12.0328 12.0355 12.1508 11.7653 Yrast ${1}^{-}$ ${3}^{-}$ 3.562 92 1.6204 1.584 62 1.647 13 2.621 42 1.697 97 1.602 24 1.687 77 ${5}^{-}$ (4.368 55) (2.913 45) (2.875 53) (3.011 49) 3.3442 3.208 84 2.928 27 3.167 98 ${7}^{-}$ (5.308 44) (4.228 70) (4.300 64) (4.408 82) 4.472 01 4.782 61 4.386 72 4.703 08 ${9}^{-}$ (6.159 82) (5.552 60) (5.838 39) (5.818 81) 5.963 42 6.379 91 5.956 14 6.259 15 ${11}^{-}$ (7.529 31) (6.880 75) (7.474 31) (7.235 14) 7.714 19 7.988 90 7.622 45 7.825 82 ${13}^{-}$ (9.222 93) (8.211 19) (9.197 88) (8.655 04) 9.464 52 9.604 62 9.375 46 9.398 68 ${15}^{-}$ 11.1457 11.2245 11.2073 10.9756 Non-yrast ${2}^{+}$ 1.297 80 1.183 20 0.680 92 2.212 67 2.017 19 1.445 47 0.686 05 2.458 43 ${4}^{+}$ 2.733 20 1.609 49 1.146 30 2.625 27 2.871 75 2.444 63 1.686 05 3.457 11 ${6}^{+}$ (3.307 32) (2.182 94) (1.680 92) (3.211 91) 3.845 75 3.886 04 2.932 92 4.874 89 $2{B}_{2}/{\hslash }^{2}$ 2.000 00 12.0000 1.500 00 0.900 00 7.000 00 1.000 00 Δ 0.779 32 0.835 37 0.708 31 0.463 95 0.628 83 0.542 15