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The symmetry energy and the isoscaling properties of the fragments produced in the multifragmentation of $^{40}$Ar, $^{40}$Ca + $^{58}$Fe, $^{58}$Ni reactions at 25 - 53 MeV/nucleon were investigated within the framework of statistical…

We have demonstrated that the isospin of nuclei influences the fragment production during the nuclear liquid-gas phase transition. Calculations for Au197, Sn124, La124 and Kr78 at various excitation energies were carried out on the basis of…

Nuclear Theory · Physics 2020-05-20 N. Buyukcizmeci , R. Ogul , A. S. Botvina

We have demonstrated that the isospin of nuclei influences the fragment production during the nuclear liquid-gas phase transition. Calculations for Au197, Sn124, La124 and Kr78 at various excitation energies were carried out on the basis of…

Nuclear Theory · Physics 2009-09-29 N. Buyukcizmeci , R. Ogul , A. S. Botvina

The isoscaling behavior is investigated using the isotopic/isobaric yields from the equilibrated thermal source which is prepared by the lattice gas model for lighter systems with A = 36. The isoscaling parameters $\alpha$ and -$\beta$ are…

Nuclear Theory · Physics 2009-11-10 Y. G. Ma , K. Wang , Y. B. Wei , G. L. Ma , X. Z. Cai , J. G. Chen , D. Q. Fang , W. Guo , W. Q. Shen , W. D. Tian , C. Zhong

The relation between collective modes and the phase transition in low density nuclear matter is examined. The dispersion relations for collective modes in a linear approach are evaluated within a Landau-Fermi liquid scheme by assuming…

Nuclear Theory · Physics 2011-05-13 R. M. Aguirre , A. L. De Paoli

A correlation between the charge radii difference of mirror partner nuclei $\Delta{R_{\mathrm{ch}}}$ and the slope parameter $L$ of symmetry energy has been built to ascertain the equation of state of isospin asymmetric nuclear matter. In…

Nuclear Theory · Physics 2024-09-04 Xiao-Rong Ma , Shuai Sun , Rong An , Li-Gang Cao

The rapidity dependence of the single- and double- neutron to proton ratios of nucleon emission from isospin-asymmetric but mass-symmetric reactions Zr+Ru and Ru+Zr at energy range $100 \sim 800$ A MeV and impact parameter range $0\sim 8$…

Nuclear Theory · Physics 2008-11-26 Qingfeng Li , Zhuxia Li , Horst Stoecker

Isoscaling is derived within a recently proposed modified Fisher model where the free energy near the critical point is described by the Landau O(m^6) theory. In this model m = (N-Z)/A is the order parameter, a consequence of (one of) the…

We discuss experimental evidence for a nuclear phase transition driven by the different concentration of neutrons to protons. Different ratios of the neutron to proton concentrations lead to different critical points for the phase…

The Landau Fermi Liquid parameters are calculated for charge neutral asymmetric nuclear matter in beta equilibrium at zero temperature in the presence of a very strong magnetic field with relativistic mean-field models. Due to the isospin…

Nuclear Theory · Physics 2015-05-27 M. A. Perez-Garcia , C. Providencia , A. Rabhi

In the first part of this paper, we present a study of the symmetry energy ($a_s$) and its slope parameter ($L$) for nuclear matter in the framework of the Fermi liquid theory of Landau and Migdal. We derive an exact relation between $a_s$…

Nuclear Theory · Physics 2022-01-24 Wolfgang Bentz , Ian C. Cloët

We consider the Farey fraction spin chain in an external field $h$. Using ideas from dynamical systems and functional analysis, we show that the free energy $f$ in the vicinity of the second-order phase transition is given, exactly, by $$ f…

Statistical Mechanics · Physics 2015-05-14 O. F. Bandtlow , J. Fiala , P. Kleban , T. Prellberg

Isotopic yield distributions of nuclei produced in peripheral collisions of $^{80}$Kr+$^{40,48}$Ca at 35 MeV/nucleon are studied. Experimental results obtained by the FAZIA Collaboration at the LNS facility in Catania are compared with…

Nuclear Theory · Physics 2023-05-16 R. Ogul , A. S. Botvina , M. Bleicher , N. Buyukcizmeci , A. Ergun , H. Imal , Y. Leifels , W. Trautmann

The characteristic properties of the hot nuclear matter existing at the time of fragment formation in the multifragmentation events produced in the reaction $^{64}$Zn + $^{112}$Sn at 40 MeV/nucleon are studied. A kinematical focusing method…

The nuclear charge radius plays a vital role in determining the equation of state of isospin asymmetric nuclear matter. Based on the correlation between the differences in charge radii of mirror-partner nuclei and the slope parameter ($L$)…

Nuclear Theory · Physics 2023-09-19 Rong An , Shuai Sun , Li-Gang Cao , Feng-Shou Zhang

We study the thermodynamics of asymmetric nuclear matter using a mean field approximation with a Skyrme effective interaction, in order to establish its phase diagram and more particularly the influence of isospin on the order of the…

Nuclear Theory · Physics 2007-05-23 C. Ducoin , P. Chomaz , F. Gulminelli

The isoscaling is investigated using the fragment yield data from fully reconstructed quasi-projectiles observed in peripheral collisions of 28Si with 124,112Sn at projectile energies 30 and 50 MeV/nucleon. The excitation energy dependence…

Nuclear Experiment · Physics 2009-11-10 M. Veselsky , G. A. Souliotis , S. J. Yennello

This paper focuses on the isospin properties of the asymmetric nuclear-matter liquid-gas phase transition analyzed in a mean-field approach, using Skyrme effective interactions. We compare two different mechanisms of phase separation for…

Nuclear Theory · Physics 2008-11-26 Camille Ducoin , Philippe Chomaz , Francesca Gulminelli

Isotopic effects observed in fragmentation reactions induced by protons, deuterons, and alpha particles of incident energies between 660 MeV and 15.3 GeV on 112-Sn and 124-Sn targets are discussed. The exponential scaling of the yield…

Nuclear Theory · Physics 2009-11-07 A. S. Botvina , O. V. Lozhkin , W. Trautmann

The free energy and the equation of state of isospin-asymmetric nuclear matter are calculated at finite temperature up to three loop order in the framework of in-medium chiral perturbation theory, systematically incorporating one- and…

Nuclear Theory · Physics 2012-03-14 Salvatore Fiorilla , Norbert Kaiser , Wolfram Weise
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