Theoretical study of odd-mass Fr isotopes using the collective clusterization approach of the dynamical cluster-decay model

Abstract

The reaction dynamics of various odd-mass Fr isotopes is studied over a wide range of incident energies, spread across the Coulomb barrier. The specific reactions analyzed are 18 O + 197 Au and 19 F + 192,194,196,198,200 Pt, forming odd-mass 211−219 Fr * compound systems where some data are available for three of these isotopes: 213,215,217 Fr * . Based on the dynamical cluster-decay model (DCM), we have extended our calculations of the evaporation residue (ER) cross sections to the mainly fissioning 215 Fr * , using the systematics of 213,217 Fr * isotopes where the available ER cross sections (as well as fusion-fission cross sections) were studied earlier within the DCM. In order to obtain a clear picture of the dynamics involved, including entrance channel effects, the variations of fragmentation potential, preformation factor, and decay barrier height are analyzed. The relevance of barrier modification effects is also explored in the decay of 213,215,217 Fr * nuclei. In addition, fusion-fission (ff) cross sections are extended to 213,217 Fr * systems where some more data has recently become available. Also, the fission fragment anisotropies (so far measured and studied for 215 Fr * alone) are estimated for 213,217 Fr * using DCM for the use of nonsticking moment of inertia, and relevant comparison with the sticking moment-of-inertia approach is analyzed. Furthermore, the shell closure effects of the decay fragments are investigated for odd-mass 211−219 Fr * isotopes.

Measurement of evaporation residue excitation functions for theF19+Pt194,196,198Singh1, Behera2, Kaur3 et al. 2014Phys. Rev. C322280View full textAdd to dashboardCite

“…Though shell closure effects give rise to fission barriers typically of the order of a few MeV, the above question arises because other nuclear properties such as the level density and the ground-state deformation can also influence the fission process in addition to the fission barrier. The above issues have been addressed in a number of publications where stability of nuclei near N = 126 has been considered [2][3][4][5][6][7].…”

Exploring Isotope Production through 2n-Emission in Reactions Induced by 48Ca: A Theoretical Investigation

“…The Dynamical Cluster-decay Model (DCM) [6][7][8][9][10][11][12] is rooted in the quantum mechanical analysis for fragmentation processes known as QMFT [14][15][16] and has been widely employed to investigate phenomena such as cold fusion, cluster radioactivity, and spontaneous fission over the past four decades. The DCM operates through a two-step mechanism: a.…”

“…In the mass region under consideration, compound nuclear systems formed via fusion face the significant challenge of resisting fission. These nuclei achieve equilibrium through various processes, including neutron emission (1n/2n) or emission of light particles (p, d, 3 H, or 4 He) [5]. With this in mind, a theoretical analysis has been undertaken to explore isotope production through 2nemission from odd-mass compound nuclei 245 Es * and 251 Md * .…”

“…These isotopes are generated from 48 Ca+ 197 Au and 48 Ca+ 203 Tl reactions, with comparable beam energies of Ebeam=210.0 MeV and 212.7 MeV, respectively. The 2n-emission channel cross-sections are evaluated using DCM [6][7][8][9][10][11][12] by optimizing the neck formation effects (ΔR), with reference to an experiment conducted at the University of Jyväskylä's Accelerator Laboratory [13], encompassing both nuclear systems. Through thorough comparative inquiries, the decay characteristics of 245 Es * and 251 Md * are probed, with the goal of comprehending the underlying mechanisms and the impact of DCM parameters on factors like effective interaction potential, probability of preformation, and other barrier properties.…”

Fission dynamics of240Cf*formed in34,36S induced reactions

“…The DCM [4,5,13,14] is worked out in terms of the collective coordinates of mass (and charge) asymmetries:…”