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We identify here possible occurrence of large deformations in the neutron-and proton-rich regions of the nuclear chart from extensive predictions of thevalues of the reduced quadrupole transition probability B-E2 for the transitionfrom the ground state to the first 2+ state and the corresponding excitationenergy E2 of even-even nuclei in the recently developed GeneralizedDifferential Equation model exclusively meant for these physical quantities.This is made possible from our analysis of the predicted values of these twophysical quantities and the corresponding deformation parameters derived fromthem such as the quadrupole deformation beta-2, the ratio of beta-2 to theWeisskopf single-particle beta-2 and the intrinsic electric quadruplole moment, calculated for a large number of both known as well as hitherto unknowneven-even isotopes of Oxygen to Fermium (Z=8 to 100). Our critical analysis ofthe resulting data convincingly support possible existence of largecollectivity for the nuclides 30,32 Ne, 34 Mg, 60 Ti, 42,62,64 Cr, 50,68 Fe,52,72 Ni, 72,70,96 Kr, 74,76 Sr,78,80,106,108 Zr , 82,84,110,112 Mo, 140 Te,144Xe, 148 Ba, 122 Ce, 128,156 Nd, 130,132,158,160 Sm and 138,162,164,166 Gd,whose values of beta-2 are found to exceed 0.3 and even 0.4 in some cases. Ourfindings of large deformations in the exotic neutron-rich regions support theexistence of another Island of Inversion in the heavy-mass region possiblycaused by breaking of the N=70 sub-shell closure.

international journal of modern physics e

Identification of Highly Deformed Even-Even Nuclides in the Neutron- and  Proton-Rich Regions of the Nuclear Chart from the B(E2) and E2 Predictions in  the Generalized Differential Equation Model