Abstract
Ground states bands (GSB) and negative parity band (NPB) of isotopes have been calculated. Bohr-Mottelson (BM), Interacting boson approximation-1(IBM-1) and Interacting vector boson model (IVBM) were used for this purpose. The principal excited state ( ) and the proportion of the second to the primary excited state provide primary information about the properties of the nucleus. The ratio of the gamma energy, over spin of each state as a function of the angular momentum (E-GOS), has been assessed to decide the ground states property of each nucleus. The ratio of energies of ( ) and ( ), states as a function of the angular momentum , have been attracted to decide numerically the properties of the ground states band of all states and all nuclei. The staggering between octupole band and ground state band is found to display a beat pattern as a function of angular momentum . The methods which were used, showed the transitional U(5)-O(6) properties of , the general properties that U(5)-O(6)-SU(3) of , and the transitional properties O(6)-SU(3) of ; while showed the SU(3) properties.
Highlights
The properties of various even-even nuclei move with the amount of constituent protons and neutrons, what's more, relating the adjustments in the excitation of energy states [1,2]
Energy levels of even-even nuclei can be assembled into ground states band (GSB) with head state kπ = 0+, β-band with head state kπ = 0+, γ-band with head state kπ = 2+ and negative parity band (NPB) with Jπ = 1−, 3−, 5−, ... [3]
The energy levels of the ground states and the negative parity band NPB of 164−174W isotopes were calculated using BM, IBM-1 and Interacting vector boson model (IVBM) and they were compared with their measured counterparts
Summary
The properties of various even-even nuclei move with the amount of constituent protons and neutrons, what's more, relating the adjustments in the excitation of energy states [1,2]. Depending on an essential data, one can get the properties of the nucleus from the principal excited state which roughly measures up to 100, 300 and 500 keV, and the ratio of the second to the principle energy state (R 4⁄2 = E41+⁄E21+) which obeys 3 < R4/2 ≤ 3.3 , 2.4 < R4/2 ≤ 3 and 2 ≤ R4/2 ≤ 2.4 for rotational, γ-soft and vibration nuclei respectively [8]. The proportion between the energies of J + 2 and J states r (J + 2⁄J) in GSB gives a numerical convenient sign of the property of the nucleus [10].
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