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Title: Constraining the symmetry energy with heavy-ion collisions and Bayesian analyses

Abstract

Efficiency corrected single ratios of neutron and proton spectra in central Sn 112 + 112 Sn and Sn 124 + 124 Sn collisions at 120 MeV/u are combined with double ratios to provide constraints on the density and momentum dependencies of the isovector mean-field potential. Bayesian analyses of these data reveal that the isoscalar and isovector nucleon effective masses, m s m v are strongly correlated. The linear correlation observed in m s m v yields a nearly independent constraint on the effective mass splitting Δ m n p = ( m n m p ) / m N = 0.05 0.09 + 0.09 δ . The correlated constraint on the standard symmetry energy, $$S_0$$ and the slope, L at saturation density yields the values of symmetry energy S ( ρ s ) = 16.8 1.2 + 1.2 MeV at a sensitive density of ρ s / ρ 0 = 0.43 0.05 + 0.05 .

Authors:
 [1];  [1];  [2];  [1];  [1]; ORCiD logo [3];  [1];  [4];  [4];  [5];  [1];  [6];  [7];  [1];  [1]; ORCiD logo [3]
  1. Michigan State Univ., East Lansing, MI (United States)
  2. China Inst. of Atomic Energy (CIAE), Beijing (China)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Western Michigan Univ., Kalamazoo MI (United States)
  5. Variable Energy Cyclotron Centre, Kolkata (India)
  6. Hong Kong Univ. (Hong Kong)
  7. Univ. of Texas, Austin, TX (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1623431
Report Number(s):
LA-UR-19-31567
Journal ID: ISSN 0370-2693; TRN: US2106880
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters. B
Additional Journal Information:
Journal Volume: 799; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic, Nuclear and Particle Physics; Symmetry energy; Heavy-ion collisions; Bayesian analysis

Citation Formats

Morfouace, P., Tsang, C.Y., Zhang, Y., Lynch, W. G., Tsang, M. B., Coupland, Daniel David Schechtman, Youngs, M., Chajecki, Z., Famiano, M. A., Ghosh, T. K., Jhang, G., Lee, J., Liu, H., Sanetullaev, A., Showalter, R., and Winkelbauer, Jack. Constraining the symmetry energy with heavy-ion collisions and Bayesian analyses. United States: N. p., 2019. Web. doi:10.1016/j.physletb.2019.135045.
Morfouace, P., Tsang, C.Y., Zhang, Y., Lynch, W. G., Tsang, M. B., Coupland, Daniel David Schechtman, Youngs, M., Chajecki, Z., Famiano, M. A., Ghosh, T. K., Jhang, G., Lee, J., Liu, H., Sanetullaev, A., Showalter, R., & Winkelbauer, Jack. Constraining the symmetry energy with heavy-ion collisions and Bayesian analyses. United States. https://doi.org/10.1016/j.physletb.2019.135045
Morfouace, P., Tsang, C.Y., Zhang, Y., Lynch, W. G., Tsang, M. B., Coupland, Daniel David Schechtman, Youngs, M., Chajecki, Z., Famiano, M. A., Ghosh, T. K., Jhang, G., Lee, J., Liu, H., Sanetullaev, A., Showalter, R., and Winkelbauer, Jack. Wed . "Constraining the symmetry energy with heavy-ion collisions and Bayesian analyses". United States. https://doi.org/10.1016/j.physletb.2019.135045. https://www.osti.gov/servlets/purl/1623431.
@article{osti_1623431,
title = {Constraining the symmetry energy with heavy-ion collisions and Bayesian analyses},
author = {Morfouace, P. and Tsang, C.Y. and Zhang, Y. and Lynch, W. G. and Tsang, M. B. and Coupland, Daniel David Schechtman and Youngs, M. and Chajecki, Z. and Famiano, M. A. and Ghosh, T. K. and Jhang, G. and Lee, J. and Liu, H. and Sanetullaev, A. and Showalter, R. and Winkelbauer, Jack},
abstractNote = {Efficiency corrected single ratios of neutron and proton spectra in central Sn 112 + 112 Sn and Sn 124 + 124 Sn collisions at 120 MeV/u are combined with double ratios to provide constraints on the density and momentum dependencies of the isovector mean-field potential. Bayesian analyses of these data reveal that the isoscalar and isovector nucleon effective masses, m s ⁎ − m v ⁎ are strongly correlated. The linear correlation observed in m s ⁎ − m v ⁎ yields a nearly independent constraint on the effective mass splitting Δ m n p ⁎ = ( m n ⁎ − m p ⁎ ) / m N = − 0.05 − 0.09 + 0.09 δ . The correlated constraint on the standard symmetry energy, $S_0$ and the slope, L at saturation density yields the values of symmetry energy S ( ρ s ) = 16.8 − 1.2 + 1.2 MeV at a sensitive density of ρ s / ρ 0 = 0.43 − 0.05 + 0.05 .},
doi = {10.1016/j.physletb.2019.135045},
journal = {Physics Letters. B},
number = C,
volume = 799,
place = {United States},
year = {2019},
month = {10}
}

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Figures / Tables:

Figure 1 Figure 1: Single neutron over proton ratio for 124Sn+124Sn and 112Sn+112Sn at 120 MeV/u. The open blue circles show the ratio before correction and the full red points show the ratio after correction due to multiple scattering and nuclear reaction losses. The brown shaded area corresponds to the prior 2σmore » region of the 49 sets of ImQMD calculation spanning the parameters space while the blue colored area correspond to the posterior 2σ region.« less

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Works referencing / citing this record:

Equation of state effects in the core collapse of a 20 M star
journal, November 2019


Decoding the density dependence of the nuclear symmetry energy
journal, July 2022


Report from the A.I. For Nuclear Physics Workshop
preprint, January 2020


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