New pattern in regular nuclei based on their experimental quadrupole transition rates and some new candidates

Abstract

In this paper, we tried to get a new signature of regular nuclei based on their quadrupole transition rates. We have analyzed the experimental electric quadrupole transition probabilities of well-known "regular nuclei". The results indicate finding specific repetition patterns for E2 transition rates, similar to what has been reported for the energy levels of these nuclei. We also tested the existence of this observed repetition scheme for all known isotopes whose experimental transition rates are available and introduced several new candidates as regular nuclei. Then, the energy spectra (Experimental) of these new suggested "regular nuclei" are investigated in the framework of the Interacting Boson Model, in which the parameters of Hamiltonian confirm the placement of these nuclei in the "Alhassid-Whelan arc of regularity" region. In order to further study the statistical distribution of experimental energy levels related to the electromagnetic transitions we are considering, we studied using the random matrix theory. The results confirmed their regularity.

Origin of regularity in different nuclei from the viewpoint of the effective quadrupole deformation and triaxiality

“…and g + 4 levels is that we proved their regularity in [2]. Now, in this article, our goal is to study their regularity from the effective quadrupole deformation viewpoint.…”

“…The existence of a repetition pattern for two observables (energy levels [13,14] and quadrupole transition probabilities [2]) proved. Also, in [2], we proved that the existence of a similar structure leads to the creation of regularity in the respective nuclei. In the present article, we will show that similar deformations cause these nuclei to be classified as regular nuclei.…”

“…In their studies, L. Amon and R. F. Casten proved the existence of a repetition pattern for the energy levels (for the nuclei located in the 'Alhassid-Whelan arc of regularity' region). We found new repetition patterns for regular nuclei (based on their experimental quadrupole transition probabilities) in [2]. We also introduced new nuclei as new candidates for regularity.…”

“…The presence of deformation and similar structures in nuclear systems causes some nuclei to be classified as regular nuclei [1,2]. The statistical study of the structure of nuclei is possible using the random matrix theory (RMT) [3][4][5][6][7][8].…”

“…In this article, we aim to study the repetition patterns in regular nuclei (as well as new nuclei introduced as candidates for regular nuclei) [2] based on the study of effective quadrupole deformations of different levels. The existence of a repetition pattern for two observables (energy levels [13,14] and quadrupole transition probabilities [2]) proved. Also, in [2], we proved that the existence of a similar structure leads to the creation of regularity in the respective nuclei.…”