Reexamination of a novel determination of density, temperature, and symmetry energy based on a modified Fisher model
Abstract
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.
- Authors:
-
- Chinese Academy of Sciences (CAS), Lanzhou (China)
- Istituto Nazionale di Fisica Nucleare (INFN), Catania (Italy). Lab. Nazionali del Sud (INFN-LNS)
- Inner Mongolia Univ. for Nationalities, Tongliao (China)
- Texas A & M Univ., College Station, TX (United States)
- Texas A & M Univ., College Station, TX (United States); Istituto Nazionale di Fisica Nucleare (INFN), Catania (Italy). Lab. Nazionali del Sud (INFN-LNS)
- Publication Date:
- Research Org.:
- Texas A & M Univ., College Station, TX (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1498070
- Alternate Identifier(s):
- OSTI ID: 1418075
- Grant/Contract Number:
- NA0003841; DE–FG03–93ER40773
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 1; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Liu, X., Zheng, H., Lin, W., Huang, M., Yang, Y. Y., Wang, J. S., Wada, R., Bonasera, A., and Natowitz, J. B.. Reexamination of a novel determination of density, temperature, and symmetry energy based on a modified Fisher model. United States: N. p., 2018.
Web. doi:10.1103/physrevc.97.014613.
Liu, X., Zheng, H., Lin, W., Huang, M., Yang, Y. Y., Wang, J. S., Wada, R., Bonasera, A., & Natowitz, J. B.. Reexamination of a novel determination of density, temperature, and symmetry energy based on a modified Fisher model. United States. https://doi.org/10.1103/physrevc.97.014613
Liu, X., Zheng, H., Lin, W., Huang, M., Yang, Y. Y., Wang, J. S., Wada, R., Bonasera, A., and Natowitz, J. B.. Thu .
"Reexamination of a novel determination of density, temperature, and symmetry energy based on a modified Fisher model". United States. https://doi.org/10.1103/physrevc.97.014613. https://www.osti.gov/servlets/purl/1498070.
@article{osti_1498070,
title = {Reexamination of a novel determination of density, temperature, and symmetry energy based on a modified Fisher model},
author = {Liu, X. and Zheng, H. and Lin, W. and Huang, M. and Yang, Y. Y. and Wang, J. S. and Wada, R. and Bonasera, A. and Natowitz, J. B.},
abstractNote = {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.},
doi = {10.1103/physrevc.97.014613},
journal = {Physical Review C},
number = 1,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
FIG. 1: (Color online) Mixing entropy per nucleon as a function of $m$. The quantum results from Eq. (19) are shown by different symbols for $T$ = 1 MeV (dots), 3 MeV (solid squares), 5 MeV (solid triangles), 7 MeV (solid inverted triangles) and 30 MeV (open circles) at densitymore »
All figures and tables
(10 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Isobaric yield ratios and the symmetry energy in heavy-ion reactions near the Fermi energy
journal, April 2010
- Huang, M.; Chen, Z.; Kowalski, S.
- Physical Review C, Vol. 81, Issue 4
Giant quadrupole resonances in Pb, the nuclear symmetry energy, and the neutron skin thickness
journal, March 2013
- Roca-Maza, X.; Brenna, M.; Agrawal, B. K.
- Physical Review C, Vol. 87, Issue 3
Experimental reconstruction of primary hot isotopes and characteristic properties of the fragmenting source in heavy-ion reactions near the Fermi energy
journal, October 2014
- Lin, W.; Liu, X.; Rodrigues, M. R. D.
- Physical Review C, Vol. 90, Issue 4
Giant dipole resonance as a quantitative constraint on the symmetry energy
journal, June 2008
- Trippa, Luca; Colò, Gianluca; Vigezzi, Enrico
- Physical Review C, Vol. 77, Issue 6
Competition between fermions and bosons in nuclear matter at low densities and finite temperatures
journal, December 2016
- Mabiala, J.; Zheng, H.; Bonasera, A.
- Physical Review C, Vol. 94, Issue 6
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
- Ma, Chun-Wang; Pu, Jie; Wang, Shan-Shan
- Chinese Physics Letters, Vol. 29, Issue 6
Isospin dependence of optical potential and the symmetry energy
journal, April 2005
- Khoa, Dao T.; Than, Hoang Sy
- Physical Review C, Vol. 71, Issue 4
Antisymmetrized molecular dynamics of wave packets with stochastic incorporation of the Vlasov equation
journal, June 1996
- Ono, Akira; Horiuchi, Hisashi
- Physical Review C, Vol. 53, Issue 6
Analysis of fragment yield ratios in the nuclear phase transition
journal, May 2011
- Tripathi, R.; Bonasera, A.; Wuenschel, S.
- Physical Review C, Vol. 83, Issue 5
Temperature determined by isobaric yield ratios in heavy-ion collisions
journal, November 2012
- Ma, C. W.; Pu, J.; Ma, Y. G.
- Physical Review C, Vol. 86, Issue 5
Investigation of the nuclear phase transition using the Landau free-energy approach
journal, January 2013
- Mabiala, J.; Bonasera, A.; Zheng, H.
- Physical Review C, Vol. 87, Issue 1
Power law behavior of the isotope yield distributions in the multifragmentation regime of heavy ion reactions
journal, November 2010
- Huang, M.; Wada, R.; Chen, Z.
- Physical Review C, Vol. 82, Issue 5
Probing Temperature from Intermediate Mass Fragment by Isobaric Yield Ratio in Heavy-Ion Collisions
journal, December 2015
- Yu, Mian; Wei, Hui-Ling; Ma, Chun-Wang
- Communications in Theoretical Physics, Vol. 64, Issue 6
Isospin Diffusion and the Nuclear Symmetry Energy in Heavy Ion Reactions
journal, February 2004
- Tsang, M. B.; Liu, T. X.; Shi, L.
- Physical Review Letters, Vol. 92, Issue 6
Novel determination of density, temperature, and symmetry energy for nuclear multifragmentation through primary fragment-yield reconstruction
journal, February 2014
- Lin, W.; Liu, X.; Rodrigues, M. R. D.
- Physical Review C, Vol. 89, Issue 2
Temperature of intermediate mass fragments in simulated 40Ca + 40Ca reactions around the Fermi energies by AMD model
journal, August 2016
- Ma, Chun-Wang; Qiao, Chun-Yuan; Ding, Tian-Tian
- Nuclear Science and Techniques, Vol. 27, Issue 5
The many facets of the (non-relativistic) Nuclear Equation of State
journal, May 2014
- Giuliani, G.; Zheng, H.; Bonasera, A.
- Progress in Particle and Nuclear Physics, Vol. 76
Zur Theorie der Kernmassen
journal, July 1935
- Weizs�cker, C. F. v.
- Zeitschrift f�r Physik, Vol. 96, Issue 7-8
Re-examination of Finite-Size Effects in Isobaric Yield Ratios Using a Statistical Abrasion-Ablation Model
journal, May 2013
- Ma, Chun-Wang; Wang, Shan-Shan; Wei, Hui-Ling
- Chinese Physics Letters, Vol. 30, Issue 5
Pairing energy of fragments produced in intermediate-energy heavy-ion collisions
journal, August 2016
- Ma, Chun-Wang; Niu, Fei; Qiao, Chun-Yuan
- Physical Review C, Vol. 94, Issue 2
Nuclear matter symmetry energy at
journal, June 2012
- Wada, R.; Hagel, K.; Qin, L.
- Physical Review C, Vol. 85, Issue 6
Isocaling and the symmetry energy in the multifragmentation regime of heavy-ion collisions
journal, June 2010
- Chen, Z.; Kowalski, S.; Huang, M.
- Physical Review C, Vol. 81, Issue 6
Critical phenomena in hadronic matter and experimental isotopic yields in high energy proton-nucleus collisions
journal, December 1982
- Minich, R. W.; Agarwal, S.; Bujak, A.
- Physics Letters B, Vol. 118, Issue 4-6
The description of fragmentation as a critical phenomenon in high energy P-nucleus collisions
journal, April 1984
- Hirsch, A. S.; Bujak, A.; Finn, J. E.
- Nuclear Physics A, Vol. 418
Nuclear Physics A. Stationary States of Nuclei
journal, April 1936
- Bethe, H. A.; Bacher, R. F.
- Reviews of Modern Physics, Vol. 8, Issue 2
Reconstructed primary fragments and symmetry energy, temperature and density of the fragmenting source in at
journal, January 2015
- Liu, X.; Lin, W.; Wada, R.
- Nuclear Physics A, Vol. 933
Antisymmetrized molecular dynamics with quantum branching processes for collisions of heavy nuclei
journal, February 1999
- Ono, Akira
- Physical Review C, Vol. 59, Issue 2
A novel approach to isoscaling: The role of the order parameter
journal, December 2010
- Huang, M.; Chen, Z.; Kowalski, S.
- Nuclear Physics A, Vol. 847, Issue 3-4
Symmetry energy from neutron-rich fragments in heavy-ion collisions, and its dependence on incident energy, and impact parameters
journal, February 2013
- Ma, Chun-Wang; Song, Heng-Li; Pu, Jie
- Chinese Physics C, Vol. 37, Issue 2
Symmetry energy and experimentally observed cold fragments in intermediate heavy-ion collisions
journal, April 2017
- Zhang, Su-Ya-La-Tu; Huang, Mei-Rong; Wada, R.
- Chinese Physics C, Vol. 41, Issue 4
Freezeout concept and dynamical transport model in intermediate-energy heavy-ion reactions
journal, July 2015
- Liu, X.; Lin, W.; Huang, M.
- Physical Review C, Vol. 92, Issue 1
Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies
journal, June 2011
- Ma, Chun-Wang; Wang, Fang; Ma, Yu-Gang
- Physical Review C, Vol. 83, Issue 6
The theory of equilibrium critical phenomena
journal, July 1967
- Fisher, M. E.
- Reports on Progress in Physics, Vol. 30, Issue 2
Experimental determination of the symmetry energy of a low density nuclear gas
journal, January 2007
- Kowalski, S.; Natowitz, J. B.; Shlomo, S.
- Physical Review C, Vol. 75, Issue 1
Symmetry energy and the isospin dependent equation of state
journal, July 2004
- Shetty, D. V.; Yennello, S. J.; Botvina, A. S.
- Physical Review C, Vol. 70, Issue 1
Constraining the symmetry term in the nuclear equation of state at subsaturation densities and finite temperatures
journal, March 2012
- Marini, P.; Bonasera, A.; McIntosh, A.
- Physical Review C, Vol. 85, Issue 3
Symmetry energy for fragmentation in dynamical nuclear collisions
journal, October 2004
- Ono, Akira; Danielewicz, P.; Friedman, W.
- Physical Review C, Vol. 70, Issue 4
Projectile fragmentation of , , , and at 140 MeV/nucleon
journal, November 2006
- Mocko, M.; Tsang, M. B.; Andronenko, L.
- Physical Review C, Vol. 74, Issue 5
Primary isotope yields and characteristic properties of the fragmenting source in heavy-ion reactions near the Fermi energy
journal, July 2014
- Liu, X.; Lin, W.; Wada, R.
- Physical Review C, Vol. 90, Issue 1
Symmetry energy extracted from fragments in relativistic energy heavy-ion collisions induced by 124,136Xe
journal, June 2012
- Ma, Chun-Wang; Pu, Jie; Wei, Hui-Ling
- The European Physical Journal A, Vol. 48, Issue 6
Residue Coulomb Interaction Among Isobars and Its Influence in Symmetry Energy of Neutron-Rich Fragment
journal, September 2015
- Ma, Chun-Wang; Wang, Shan-Shan; Zhang, Yan-Li
- Communications in Theoretical Physics, Vol. 64, Issue 3
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
- Lin, W.; Liu, X.; Rodrigues, M. R. D.
- Physical Review C, Vol. 95, Issue 3
Neutron-skin effects in isobaric yield ratios for mirror nuclei in a statistical abrasion-ablation model
journal, October 2013
- Ma, Chun-Wang; Wei, Hui-Ling; Ma, Yu-Gang
- Physical Review C, Vol. 88, Issue 4
Quantum Nature of a Nuclear Phase Transition
journal, September 2008
- Bonasera, A.; Chen, Z.; Wada, R.
- Physical Review Letters, Vol. 101, Issue 12
Density dependence of the symmetry energy and the nuclear equation of state: A dynamical and statistical model perspective
journal, August 2007
- Shetty, D. V.; Yennello, S. J.; Souliotis, G. A.
- Physical Review C, Vol. 76, Issue 2
Constraints on the Density Dependence of the Symmetry Energy
journal, March 2009
- Tsang, M. B.; Zhang, Yingxun; Danielewicz, P.
- Physical Review Letters, Vol. 102, Issue 12
The theory of equilibrium critical phenomena
journal, January 1968
- Fisher, M. E.
- Reports on Progress in Physics, Vol. 31, Issue 1
Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies
text, January 2014
- Ma, Chun-Wang; Wang, Fang; Ma, Yu-Gang
- Unpublished
The Quantum Nature of a Nuclear Phase Transition
text, January 2008
- Bonasera, A.; Chen, Z.; Wada, R.
- arXiv
Critical behavior of the isotope yield distributions in the Multifragmentation Regime of Heavy Ion Reactions
text, January 2010
- Huang, M.; Wada, R.; Chen, Z.
- arXiv
Analysis of fragment yield ratios in the nuclear phase transition
text, January 2010
- Tripathi, R.; Bonasera, A.; Wuenschel, S.
- arXiv
Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies
text, January 2011
- Ma, Chun-Wang; Wang, Fang; Ma, Yu-Gang
- arXiv
Reexamining the "finite-size" effects in isobaric yield ratios using a statistical abrasion-ablation model
text, January 2012
- Ma, C. W.; Wang, S. S.; Wei, H. L.
- arXiv
Temperature determined by isobaric yield ratio in heavy-ion collisions
text, January 2012
- Ma, C. W.; Pu, J.; Ma, Y. G.
- arXiv
Neutron-skin effects in isobaric yield ratio for mirror nuclei in statistical abrasion-ablation model
text, January 2013
- Ma, Chunwang; Wei, Huiling; Ma, Yugang
- arXiv
Residue Coulomb interaction among isobars and its influence in symmetry energy of neutron-rich fragment
text, January 2014
- Ma, Chun-Wang; Wang, Shan-Sha n.; Zhang, Yan-Li
- arXiv
Primary Isotope Yields and Characteristic Properties of the Fragmenting Source in Heavy-ion Reactions near the Fermi Energies
text, January 2014
- Liu, X.; Lin, W.; Wada, R.
- arXiv
Symmetry energy and the isospin dependent equation of state
text, January 2004
- Shetty, D. V.; Yennello, S. J.; Botvina, A.
- arXiv
Experimental determination of the symmetry energy of a low density nuclear gas
text, January 2006
- Kowalski, S.; Natowitz, J. B.; Shlomo, S.
- arXiv
Symmetry energy for fragmentation in dynamical nuclear collisions
text, January 2004
- Ono, Akira; Danielewicz, P.; Friedman, W. A.
- arXiv
Antisymmetrized molecular dynamics of wave packets with stochastic incorporation of Vlasov equation
text, January 1996
- Ono, Akira; Horiuchi, Hisashi
- arXiv
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.