Isoscaling behavior in fission dynamics

Abstract

The fission processes of 112 Sn + 112 Sn and 116 Sn + 116 Sn are simulated with the combination of the Langevin equation and the statistical decay model. The masses of two fission fragments are given by assuming the process of symmetric fission or asymmetric fission by the Monte Carlo sampling with the Gaussian probability distribution. From the analysis to the isotopic/isotonic ratios of the fission fragments from both reactions, the isoscaling behavior has been observed and investigated in details. Isoscaling parameters α and β are extracted as a function of the charge number and neutron number, respectively, in different width of the sampling Gaussian probability distribution. It seems that α is sensitive to the width of fission probability distribution of the mass asymmetrical parameter but β is not. Both α and β drop with the increasing of beam energy and the reduced friction parameter.

Influences of the Isospin-Dependence of in-Medium Nucleon–nucleon Cross-Section and Momentum Dependent Interaction on Isoscaling Parameter

“…2 it is clear that the isoscaling parameter α decreases with an increase of the beam energy E lab . The above property indicates that the difference between squares of the two isotope charge-mass ratios, [(Z/A) 2 1 − (Z/A) 2 2 ], for the above two central colliding systems on the beam energy E lab is weakened gradually as the increase of beam energy E lab , because the colliding system temperature T increases. Its inversion 1/T decreases as the increase of beam energy E lab based on the following linear relationship between isoscaling parameter α and (Z/A) 24 :…”

“…This means that the isospin-dependent σ iso NN induces obviously the decrease of the isoscaling parameter α. Equation (6) shows that on the one hand, α is directly proportional to [(Z/A) 2 1 − (Z/A) 2 2 ] and inversely proportional to the system temperature T . Here C is the symmetry potential parameter.…”

“…[1][2][3][4] If one performs two sets of heavy ion collisions at a given beam energy E lab in which the first set involves partners characterized by A 1 (Z) and the second by A 2 (Z) with mass numbers A 2 and A 1 respectively. Here the proton number Z for two colliding systems are the same, but they have different neutron numbers N 2 and N 1 .…”

Probing the density dependence of the symmetry energy via multifragmentation at subsaturation densities

“…The symmetry energy is found to be the prominent candidate to study the isospin dependence of the NEOS. In past years, many studies have been performed on the density dependence of symmetry energy at subsaturation densities by using isotopic scaling [7][8][9][10][11], isobaric ratio [12], single and double ratios [13][14][15][16][17]19,20], isospin diffusion [6,21], isospin distillation and fractionation [6,22], and isospin migration and drift [4,6,23]. Apart from these, transverse and elliptic flows of neutrons and protons are also considered good candidates to emphasize the importance of the density dependence of symmetry energy [24][25][26].…”

Isobaric yield ratio difference and neutron density difference in calcium isotopes

“…From Eq. (1), the IBD between two reactions of similar measurements can be defined, which likes the definition in isoscaling methods [17][18][19]. In the grand-canonical ensembles theory within the grand canonical limit [20,21], the relationship between the IBD and the ratio of the chemical potential difference between neutrons and protons to temperature ( μ 21 /T ) is written as * machunwang@126.com follows [13,14],…”