Abstract
Within the newly updated version of the ultra-relativistic quantum molecular dynamics (UrQMD) model in which the Skyrme potential energy-density functional is introduced, the yield ratio between 3H and 3He clusters emitted from central 40Ca + 40Ca, 96Zr + 96Zr, 96Ru + 96Ru, and 197Au + 197Au collisions in the beam energy range from 0.12 to 1 GeV/nucleon is studied. The recent FOPI data for the 3H/3He ratio are compared with UrQMD calculations using 13 Skyrme interactions (all exhibiting similar values of iso-scalar incompressibility but very different density dependences of the symmetry energy). It is found that the 3H/3He ratio is sensitive to the nuclear symmetry energy at sub-saturation densities. Model calculations with moderately soft to linear symmetry energies are in qualitatively agreement with the 3H/3He ratio data of the FOPI Collaboration. This result is in line with both the recent constraints on the low-density symmetry energy available in the literature and our previous results for the high-density symmetry energy obtained with the elliptic flow of free nucleons and hydrogen isotopes as a sensitive probe.
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References
B.-A. Li, L.-W. Chen, C.M. Ko, Phys. Rep. 464, 113 (2008).
C.J. Horowitz et al., J. Phys. G: Nucl. Part. Phys. 41, 093001 (2014).
B.-A. Li, A. Ramos, G. Verde, I. Vidana, Eur. Phys. J. A 50, 9 (2014).
M.B. Tsang et al., Phys. Rev. C 86, 015803 (2012).
J.M. Lattimer, Y. Lim, Astrophys. J. 771, 51 (2013).
P. Danielewicz, J. Lee, Nucl. Phys. A 922, 1 (2014).
X. Roca-Maza et al., Phys. Rev. C 87, 034301 (2013).
Z. Zhang, L.-W. Chen, Phys. Lett. B 726, 234 (2013).
B.A. Brown, Phys. Rev. Lett. 111, 232502 (2013).
X. Fan, J. Dong, W. Zuo, Phys. Rev. C 89, 017305 (2014).
L.-W. Chen, C.M. Ko, B.-A. Li, Phys. Rev. C 68, 017601 (2003).
L.-W. Chen, C.M. Ko, B.-A. Li, Nucl. Phys. A 729, 809 (2003).
L.-W. Chen, C.M. Ko, B.-A. Li, Phys. Rev. C 69, 054606 (2004).
Q. Li, Z. Li, S. Soff, M. Bleicher, H. Stöcker, Phys. Rev. C 72, 034613 (2005).
Y. Zhang, Z. Li, Phys. Rev. C 71, 024604 (2005).
G.-C. Yong, B.-A. Li, L.-W. Chen, X.-C. Zhang, Phys. Rev. C 80, 044608 (2009).
M. Youngs, PhD Thesis, Michigan State University (2013).
FOPI Collaboration (W. Reisdorf et al.), Nucl. Phys. A 848, 366 (2010).
FOPI Collaboration (W. Reisdorf et al.), Nucl. Phys. A 876, 1 (2012).
Y. Wang, C. Guo, Q. Li, H. Zhang, Z. Li, W. Trautmann, Phys. Rev. C 89, 034606 (2014).
Y. Wang, C. Guo, Q. Li, H. Zhang, Y. Leifels, W. Trautmann, Phys. Rev. C 89, 044603 (2014).
J. Dong, W. Zuo, J. Gu, U. Lombardo, Phys. Rev. C 85, 034308 (2012).
Q. Li, C. Shen, C. Guo, Y. Wang, Z. Li, J. Lukasik, W. Trautmann, Phys. Rev. C 83, 044617 (2011).
UrQMD-Collaboration (S.A. Bass et al.), Prog. Part. Nucl. Phys. 41, 255 (1998).
M. Bleicher et al., J. Phys. G 25, 1859 (1999).
Q. Li, G. Graf, M. Bleicher, Phys. Rev. C 85, 034908 (2012).
Y. Zhang, Z. Li, Phys. Rev. C 74, 014602 (2006).
M. Dutra, O. Lourenco, J.S. Sa Martins, A. Delfino, J.R. Stone, P.D. Stevenson, Phys. Rev. C 85, 035201 (2012) and M. Dutra, PhD Thesis, Universidade Federal Fluminense (2011).
C. Guo, Y. Wang, Q. Li, W. Trautmann, L. Liu, L. Wu, Sci. China Phys. Mech. Astron. 55, 252 (2012).
Y. Wang, C. Guo, Q. Li et al., Sci. China Phys. Mech. Astron. 55, 2407 (2012).
S. Kumar, Y.G. Ma, G.Q. Zhang, C.L. Zhou, Phys. Rev. C 85, 024620 (2012).
S. Kumar, Y.G. Ma, Phys. Rev. C 86, 051601 (2012).
Q. Li, Mod. Phys. Lett. A 24, 41 (2009).
Y. Zhang, Z. Li, C. Zhou, M.B. Tsang, Phys. Rev. C 85, 051602 (2012).
P. Russotto, P.Z. Wu, M. Zoric, M. Chartier, Y. Leifels, R.C. Lemmon, Q. Li, J. Lukasik et al., Phys. Lett. B 697, 471 (2011).
M.D. Cozma, Y. Leifels, W. Trautmann, Q. Li, P. Russotto, Phys. Rev. C 88, 044912 (2013).
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Wang, Y., Guo, C., Li, Q. et al. 3H/3He ratio as a probe of the nuclear symmetry energy at sub-saturation densities. Eur. Phys. J. A 51, 37 (2015). https://doi.org/10.1140/epja/i2015-15037-8
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DOI: https://doi.org/10.1140/epja/i2015-15037-8