Abstract.
The high-density behavior of nuclear symmetry energy is among the most uncertain properties of dense neutron-rich matter. Its accurate determination has significant ramifications in understanding not only the reaction dynamics of heavy-ion reactions, especially those induced by radioactive beams, but also many interesting phenomena in astrophysics, such as the explosion mechanism of supernova and the properties of neutron stars. The heavy-ion physics community has devoted much effort during the last few years to constrain the high-density symmetry using various probes. In particular, the \( \pi^{-}\)/\( \pi^{+}\) ratio has been most extensively studied both theoretically and experimentally. All models have consistently predicted qualitatively that the \( \pi^{-}\)/\( \pi^{+}\) ratio is a sensitive probe of the high-density symmetry energy especially with beam energies near the pion production threshold. However, the predicted values of the \( \pi^{-}\)/\( \pi^{+}\) ratio are still quite model dependent mostly because of the complexity of modeling pion production and reabsorption dynamics in heavy-ion collisions, leading to currently still controversial conclusions regarding the high-density behavior of nuclear symmetry energy from comparing various model calculations with available experimental data. As more \( \pi^{-}\)/\( \pi^{+}\) data become available and a deeper understanding about the pion dynamics in heavy-ion reactions is obtained, more penetrating probes, such as the K +/K 0 ratio, \( \eta\) meson and high-energy photons are also being investigated or planned at several facilities. Here, we review some of our recent contributions to the community effort of constraining the high-density behavior of nuclear symmetry energy in heavy-ion collisions. In addition, the status of some worldwide experiments for studying the high-density symmetry energy, including the HIRFL-CSR external target experiment (CEE) are briefly introduced.
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References
B.A. Li, L.W. Chen, C.M. Ko, Phys. Rep. 464, 113 (2008)
B.A. Li et al., J. Phys. Conf. Ser. 312, 042006 (2011)
B. Tsang et al., Phys. Rev. C 86, 015803 (2012)
J.M. Lattimer, Annu. Rev. Nucl. Part. Sci. 62, 485 (2012)
L.W. Chen, in Proceedings of the 14th National Conference on Nuclear Structure in China (NSC2012) (World Scientific, Singapore, 2012) pp. 43--54, arXiv:1212.0284
B.A. Li et al., J. Phys. Conf. Ser. 413, 012021 (2013) arXiv:1212.1178
B.A. Li et al., Phys. Rev. C 71, 014608 (2005)
Q. Li, Z. Li et al., J. Phys. G: Nucl. Part. Phys. 31, 1359 (2005)
G. Ferini et al., Phys. Rev. Lett. 97, 202301 (2006)
B.A. Li, Phys. Rev. Lett. 88, 192701 (2002)
P. Russotto et al., Phys. Lett. B 697, 471 (2011)
G.C. Yong, B.A. Li, L.W. Chen, Phys. Lett. B 650, 344 (2007)
L.W. Chen, C.M. Ki, B.A. Li, Nucl. Phys. A 729, 809 (2003)
G.C. Yong, B.A. Li, L.W. Chen, X.C. Zhang, Phys. Rev. C 80, 044608 (2009)
Q. Li, Z. Li, E. Zhao, R.K. Gupta, Phys. Rev. C 71, 054907 (2005)
G.C. Yong, B.A Li, Phys. Let. B 723, 388 (2013)
G.C. Yong, B.A. Li, L.W. Chen, Phys. Lett. B 661, 82 (2008)
Y.G. Ma et al., Phys. Rev. C 85, 024618 (2012)
FOPI Collaboration (W. Reisdorf et al.), Nucl. Phys. A 781, 459 (2007)
B.A. Li, C.B. Das, S. Das Gupta, C. Gale, Phys. Rev. C 69, 011603 (2004)
B.A. Li, C.B. Das, S. Das Gupta, C. Gale, Nucl. Phys. A 735, 563 (2004)
Z.G. Xiao et al., Phys. Rev. Lett. 102, 062502 (2009)
Z.G. Xiao et al., Sci. Sin. Phys. Mech. Astron. 41, 439 (2011)
Z.Q. Feng, G.M. Jin, Phys. Lett. B 683, 140 (2010)
W.J. Xie et al., Phys. Lett. B 718, 1510 (2013)
J. Xu, C.M. Ko, Y. Oh, Phys. Rev. C 81, 024910 (2010)
G.C. Yong, Eur. Phys. J. A 46, 399 (2010)
J. Xu, L.W. Chen, C.K. Ko, B.A. Li, Y.G. Ma, Phys. Rev. C 87, 067601 (2013)
C. Xu, A. Li, B.A. Li, Phys. Rev. C 81, 064612 (2010)
W. Zuo, I. Bombaci, U. Lombardo, contribution to this Topical Issue
C. Xu, A. Li, B.A. Li, J. Phys.: Conf. Ser. 420, 012190 (2013)
H.K. Lee, Mannque Rho, contribution to this Topical Issue
L.W. Chen et al., Phys. Rev. C 80, 014322 (2009)
L.W. Chen, Sci. China Phys. Mech. Astron. 54, s124 (2011) arXiv:1101.2384
W.Z. Jiang, B.A. Li, Phys. Rev. C 80, 044322 (2009)
B.A. Li, Nucl. Phys. A 708, 365 (2002)
H. Müller, B.D. Serot, Phys. Rev. C 52, 2072 (1995)
B.A. Li, C.M. Ko, Nucl. Phys. A 618, 498 (1997)
H.S. Xu et al., Phys. Rev. Lett. 85, 716 (2000)
B.A. Li et al., Phys. Rev. C 67, 017601 (2003)
G. Ferini, M. Colonna, T. Gaitanos, M. Di Toro, Nucl. Phys. A 762, 147 (2005)
M.D. Cozma, Phys. Lett. B 700, 139 (2011)
W. Benenson et al., Phys. Rev. Lett. 43, 683 (1979)
S. Nagamiya et al., Phys. Rev. C 24, 971 (1981)
J. Harris et al., Phys. Lett. B 153, 377 (1985)
R. Stock, Phys. Rep. 135, 259 (1986)
G.F. Bertsch, Nature 283, 280 (1980)
H.R. Jaqaman, A.Z. Mekjian, L. Zamick, Phys. Rev. C 27, 2782 (1983)
H.R. Jaqaman, A.Z. Mekjian, L. Zamick, Phys. Rev. C 29, 2067 (1984)
H.R. Jaqaman, Phys. Rev. C 39, 169 (1988)
C. Xu, B.A. Li, L.W. Chen, Phys. Rev. C 82, 054607 (2010)
C. Xu, B.A. Li, L.W. Chen, C.M. Ko, Nucl. Phys. A 865, 1 (2011)
R. Chen, B.J. Cai, L.W. Chen, B.A. Li, X.H. Li, C. Xu, Phys. Rev. C 85, 024305 (2012)
L.W. Chen, C.M. Ko, B.A. Li, Phys. Rev. Lett. 94, 032701 (2005)
A. Akmal et al., Phys. Rev. C 58, 1804 (1998)
C. Hartnack et al., Eur. Phys. J. A 1, 151 (1998)
D.H. Wen et al., Phys. Rev. Lett. 103, 211102 (2009)
M. Zhang et al., Phys. Rev. C 80, 034616 (2009)
M. Zhang et al., Phys. Rev. C 82, 044602 (2010)
B. Hong and the FOPI Collaboration, Phys. Rev. C 66, 034901 (2002)
J. Aichelin, C.M. Ko, Phys. Rev. Lett. 55, 2661 (1985)
KaoS Collaboration (C. Sturm et al.), Phys. Rev. Lett. 86, 39 (2001)
Ch. Hartnack, H. Oeschler et al., Phys. Rev. Lett. 96, 012302 (2006)
C. Fuchs et al., Phys. Rev. Lett. 86, 1974 (2001)
X. Lopez, Y.J. Kim et al., Phys. Rev. C 75, 011901(R) (2007)
Particle Data Group (J. Beringer et al.), Phys. Rev. D 86, 010001 (2012)
Gy. Wolf, W. Cassing, U. Mosel, Nucl. Phys. A 552, 549 (1993)
M. Thomere, C. Hartnack, G. Wolf, J. Aichelin, Phys. Rev. C 75, 064902 (2007)
A. Depaoli, K. Niita, W. Cassing, U. Mosel, C.M. Ko, Phys. Lett. B 219, 194 (1989)
B.A. Li, C.M. Ko, Phys. Rev. C 52, 2037 (1995)
L. Shi, P. Danielewicz, Europhys. Lett. 49, 34 (2000)
G.F. Bertsch, S. Das Gupta, Phys. Rep. 160, 189 (1988)
H. Nifenecker, J.A. Pinston, Annu. Rev. Nucl. Part. Sci. 40, 113 (1990)
W. Cassing, V. Metag, U. Mosel, K. Niita, Phys. Rep. 188, 363 (1990)
B.A. Remington, M. Blann, G.F. Bertsch, Phys. Rev. Lett. 57, 2909 (1986)
C.M. Ko, G.F. Bertsch, J. Aichelin, Phys. Rev. C 31, 2324(R) (1985)
W. Cassing, T. Biro, U. Mosel, M. Tohyama, W. Bauer, Phys. Lett. B 181, 217 (1986)
W. Bauer, G.F. Bertsch, W. Cassing, U. Mosel, Phys. Rev. C 34, 2127 (1986)
J. Stevenson et al., Phys. Rev. Lett. 57, 555 (1986)
G.C. Yong, W. Zuo, X.C. Zhang, Phys. Lett. B 705, 240 (2011)
H. Nifenecker, J.P. Bondorf, Nucl. Phys. A 442, 478 (1985)
K. Nakayama, G.F. Bertsch, Phys. Rev. C 34, 2190 (1986)
M. Schäffer, T.S. Biro, W. Cassing, U. Mosel, H. Nifenecker, J.A. Pinstan, Z. Phys. A 339, 391 (1991)
N. Gan et al., Phys. Rev. C 49, 298 (1994)
R.G.E. Timmermans, T.D. Penninga, B.F. Gibson, M.K. Liou, Phys. Rev. C 73, 034006 (2006)
P. Russotto et al., J. Phys. Conf. Ser. 420, 012092 (2013)
P. Russotto, M.D. Cozma, contribution to this Topical Issue
W. Trautmann, contribution to this Topical Issue
T. Kobayashi et al., Nucl. Instrum. Methods B 317, 294 (2013)
B. Hong, contribution to this Topical Issue
J.W. Xia et al., Nucl. Instrum. Methods A 488, 11 (2002)
Z.G. Xiao et al., J. Phys. G: Nucl. Part. Phys. 36, 064040 (2009)
M. Zhang et al., Chin. Phys. C 34, 1100 (2010)
C.C. Guo et al., Sci. China A 55, 252 (2012)
L. Ou et al., Phys. Rev. C 78, 044609 (2008)
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Communicated by A. Ramos
Contribution to the Topical Issue “Nuclear Symmetry Energy” edited by Bao-An Li, Àngels Ramos, Giuseppe Verde, Isaac Vidaña.
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Xiao, ZG., Yong, GC., Chen, LW. et al. Probing nuclear symmetry energy at high densities using pion, kaon, eta and photon productions in heavy-ion collisions. Eur. Phys. J. A 50, 37 (2014). https://doi.org/10.1140/epja/i2014-14037-6
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DOI: https://doi.org/10.1140/epja/i2014-14037-6