DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Reexamination of a novel determination of density, temperature, and symmetry energy based on a modified Fisher model

Journal Article · · Physical Review C
 [1];  [2];  [3];  [4];  [3];  [3];  [5];  [6];  [5]
  1. Chinese Academy of Sciences (CAS), Lanzhou (China); Cyclotron Institute, Texas A&M University
  2. Istituto Nazionale di Fisica Nucleare (INFN), Catania (Italy). Lab. Nazionali del Sud (INFN-LNS)
  3. Chinese Academy of Sciences (CAS), Lanzhou (China)
  4. Inner Mongolia Univ. for Nationalities, Tongliao (China)
  5. Texas A & M Univ., College Station, TX (United States)
  6. Texas A & M Univ., College Station, TX (United States); Istituto Nazionale di Fisica Nucleare (INFN), Catania (Italy). Lab. Nazionali del Sud (INFN-LNS)

Excited nuclei behave like liquid droplets and undergo phase transition at finite excitation temperatures; as proposed by M.E. Fisher in 1967 in order to describe the power law behavior of the “fragment” mass distribution around the critical point for a liquid-gas phase transition. In the early 1980s, the pioneering work of the Purdue group generated a novel classical droplet model based on the Fischer Model, which was the so-called Modified Fisher Model(MFM). In this article, a mistake in the formulation of the Modified Fisher Model (MFM) is addressed and corrected by reversing the sign of the mixing entropy term in the original formulation. The errors in the results of the previous MFM-related studies, such as isotopic yield distribution, isobaric yield ratios, isoscaling, m-scaling, self-consistent, determination of density, symmetry energy and temperature, and density and temperature determination related to the IMF Freeze out, are quantitatively analyzed. It is found that the errors originating from the mistake in sign of the mixing entropy term are generally small and even have no effect in some cases.

Research Organization:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003841
OSTI ID:
1498070
Alternate ID(s):
OSTI ID: 1418075
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 1 Vol. 97; ISSN PRVCAN; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (63)

Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies text January 2011
Analysis of fragment yield ratios in the nuclear phase transition journal May 2011
Density dependence of the symmetry energy and the nuclear equation of state: A dynamical and statistical model perspective journal August 2007
Symmetry energy for fragmentation in dynamical nuclear collisions journal October 2004
Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies text January 2014
Analysis of fragment yield ratios in the nuclear phase transition text January 2010
Probing Temperature from Intermediate Mass Fragment by Isobaric Yield Ratio in Heavy-Ion Collisions journal December 2015
Constraints on the Density Dependence of the Symmetry Energy journal March 2009
Antisymmetrized molecular dynamics with quantum branching processes for collisions of heavy nuclei journal February 1999
Primary isotope yields and characteristic properties of the fragmenting source in heavy-ion reactions near the Fermi energy journal July 2014
Reconstructed primary fragments and symmetry energy, temperature and density of the fragmenting source in Zn 64 + Sn 112 at 40   MeV / nucleon journal January 2015
Isospin dependence of He 6 + p optical potential and the symmetry energy journal April 2005
Residue Coulomb Interaction Among Isobars and Its Influence in Symmetry Energy of Neutron-Rich Fragment journal September 2015
Giant quadrupole resonances in 208 Pb, the nuclear symmetry energy, and the neutron skin thickness journal March 2013
Zur Theorie der Kernmassen journal July 1935
Residue Coulomb interaction among isobars and its influence in symmetry energy of neutron-rich fragment text January 2014
Experimental results from high energy proton-nucleus interactions, critical phenomena, and the thermal liquid drop model of fragment production journal February 1984
Temperature determined by isobaric yield ratios in heavy-ion collisions journal November 2012
Pairing energy of fragments produced in intermediate-energy heavy-ion collisions journal August 2016
Investigation of the nuclear phase transition using the Landau free-energy approach journal January 2013
Experimental determination of the symmetry energy of a low density nuclear gas text January 2006
The Symmetry Energy from the Neutron-Rich Nucleus Produced in the Intermediate-Energy 40,48 Ca and 58,64 Ni Projectile Fragmentation journal June 2012
Isocaling and the symmetry energy in the multifragmentation regime of heavy-ion collisions journal June 2010
Symmetry energy and the isospin dependent equation of state text January 2004
Critical phenomena in hadronic matter and experimental isotopic yields in high energy proton-nucleus collisions journal December 1982
The theory of equilibrium critical phenomena journal July 1967
Symmetry energy and experimentally observed cold fragments in intermediate heavy-ion collisions journal April 2017
Experimental reconstruction of primary hot isotopes and characteristic properties of the fragmenting source in heavy-ion reactions near the Fermi energy journal October 2014
Symmetry energy extracted from fragments in relativistic energy heavy-ion collisions induced by 124,136Xe journal June 2012
The Quantum Nature of a Nuclear Phase Transition text January 2008
Neutron-skin effects in isobaric yield ratios for mirror nuclei in a statistical abrasion-ablation model journal October 2013
Constraints on the Density Dependence of the Symmetry Energy journal September 2010
Temperature determined by isobaric yield ratio in heavy-ion collisions text January 2012
Quantum Nature of a Nuclear Phase Transition journal September 2008
Symmetry energy and the isospin dependent equation of state journal July 2004
Power law behavior of the isotope yield distributions in the multifragmentation regime of heavy ion reactions journal November 2010
Isobaric yield ratios and the symmetry energy in heavy-ion reactions near the Fermi energy journal April 2010
Experimental determination of the symmetry energy of a low density nuclear gas journal January 2007
Re-examination of Finite-Size Effects in Isobaric Yield Ratios Using a Statistical Abrasion-Ablation Model journal May 2013
Nuclear matter symmetry energy at 0.03 ⩽ ρ / ρ 0 ⩽ 0.2 journal June 2012
Symmetry energy for fragmentation in dynamical nuclear collisions text January 2004
The many facets of the (non-relativistic) Nuclear Equation of State journal May 2014
Antisymmetrized molecular dynamics of wave packets with stochastic incorporation of the Vlasov equation journal June 1996
Erratum: Novel determination of density, temperature, and symmetry energy for nuclear multifragmentation through primary fragment-yield reconstruction [Phys. Rev. C 89 , 021601(R) (2014)] journal March 2017
Giant dipole resonance as a quantitative constraint on the symmetry energy journal June 2008
Competition between fermions and bosons in nuclear matter at low densities and finite temperatures journal December 2016
Temperature of intermediate mass fragments in simulated 40Ca + 40Ca reactions around the Fermi energies by AMD model journal August 2016
The theory of equilibrium critical phenomena journal January 1968
The description of fragmentation as a critical phenomenon in high energy P-nucleus collisions journal April 1984
Reexamining the "finite-size" effects in isobaric yield ratios using a statistical abrasion-ablation model text January 2012
Antisymmetrized molecular dynamics of wave packets with stochastic incorporation of Vlasov equation text January 1996
Projectile fragmentation of Ca 40 , Ca 48 , Ni 58 , and Ni 64 at 140 MeV/nucleon journal November 2006
Primary Isotope Yields and Characteristic Properties of the Fragmenting Source in Heavy-ion Reactions near the Fermi Energies text January 2014
Symmetry energy from neutron-rich fragments in heavy-ion collisions, and its dependence on incident energy, and impact parameters journal February 2013
Nuclear Physics A. Stationary States of Nuclei journal April 1936
Constraining the symmetry term in the nuclear equation of state at subsaturation densities and finite temperatures journal March 2012
Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies journal June 2011
Isospin Diffusion and the Nuclear Symmetry Energy in Heavy Ion Reactions journal February 2004
A novel approach to isoscaling: The role of the order parameter journal December 2010
Freezeout concept and dynamical transport model in intermediate-energy heavy-ion reactions journal July 2015
Neutron-skin effects in isobaric yield ratio for mirror nuclei in statistical abrasion-ablation model text January 2013
Critical behavior of the isotope yield distributions in the Multifragmentation Regime of Heavy Ion Reactions text January 2010
Novel determination of density, temperature, and symmetry energy for nuclear multifragmentation through primary fragment-yield reconstruction journal February 2014

Similar Records

Weighing galaxy disks with the baryonic Tully–Fisher relation
Journal Article · 2015 · Astrophysical Journal · OSTI ID:22882617

Location of the Fisher-Widom line for systems interacting through short-ranged potentials
Journal Article · 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics · OSTI ID:27839

Critical behavior in light nuclear systems: Experimental aspects
Journal Article · 2005 · Physical Review. C, Nuclear Physics · OSTI ID:20698680