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Title: 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:
 [1];  [2];  [1];  [3];  [1];  [1];  [4];  [5];  [4]
  1. Chinese Academy of Sciences (CAS), Lanzhou (China)
  2. Istituto Nazionale di Fisica Nucleare (INFN), Catania (Italy). Lab. Nazionali del Sud (INFN-LNS)
  3. Inner Mongolia Univ. for Nationalities, Tongliao (China)
  4. Texas A & M Univ., College Station, TX (United States)
  5. 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. 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., & 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}
}

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Figures / Tables:

FIG. 1 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 » $ρ$ = ρ0/6. The solid line corresponds to the mixing entropy per nucleon calculated using the classical formula, Eq. (12).« less

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