Nuclear level density parameters of some largely deformed nuclei of medical radionuclides in low-lying collective excitation modes

Abstract

In this study, the nuclear energy level density based on nuclear collective excitation mechanism has been identified in terms of low-lying collective level bands near the neutron binding energy. Nuclear level density parameters of some large deformed nuclei of radionuclides widely used in medical applications have been calculated by using different collective excitation modes of observed nuclear spectra. The calculated parameters have been used successfully in estimation of the neutron-capture cross section basic data for the production of new medical radionuclides. The investigated radionuclides have been considered in the region of mass number 150 < A < 200. The method used in the present work assumes equidistance spacing of the collective coupled state bands of the interest radionuclides. The calculated results have been compared with the compiled values from the literatures for s-wave neutron resonance data.

Nuclear Level Density Parameters ofPb203-209andBi206Okuducu1, Aktı2, Akbas3 et al. 2012Science and Technology of Nuclear Installations4000View full textAdd to dashboardCite

“…are the ratios of the sequential level energies to the appropriate energy unit of a corresponding band. When the above relation is satisfied, in our study, the nuclear level density formula introduced depending on the excitation energy U and energy unit ε o for the ith excitation band can be represented as [6][7][8][9][10][11][12]…”

“…The method used in this present study for calculation of nuclear level density parameters of some deformed target isotopes has been given in detail in the studies of [6][7][8][9][10][11][12]. Similarly, the mentioned method, in this study, can also be applicable to deformed target isotopes of interest.…”

“…Recently in considerable studies such as in [6][7][8][9][10][11][12], it has been attempted to identify the nuclear level density parameters in the region of some light and large deformed nuclei by the use of a simple model of nuclear collective excitation mechanism. Almost all data on the estimated level density parameters of these deformed nuclei are well identified on a base of collective rotational and collective vibrational bands such as ground state band, β band, octupole band, γ-band, and so forth.…”

“…The knowledge of nuclear level densities is a crucial input in various fields/applications such as the creation of consistent theoretical description of excited nucleus properties and the nuclear reaction cross-section calculations for many branches of nuclear physics, nuclear astrophysics, nuclear medicine, and applied areas (medical physics, etc.) [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. The neutron capture cross-sections, required for both design and nuclear model calculations in nuclear science and technologies, are approximately proportional to the corresponding level densities around the neutron resonance region.…”

“…And, it is well known that nuclear level density parameters are of crucial importance for the cross-section. In light of the preceding knowledge in the present study, the nuclear level density parameters of deformed 203−209 Pb and 206−210 Bi target isotopes used on the ADS systems have been calculated by using different collective excitation modes of the observed nuclear spectra near the neutron binding energy and a simple model introduced in our previous works [6][7][8][9][10][11][12], in which the collective character of the nuclear excitations is available.…”