Abstract
We review the recent attempts to calculate the nuclear symmetry energy from QCD sum rules. Calculating the difference between the proton and neutron correlation function in an isospin asymmetric nuclear matter within the QCD sum rule approach, the potential part of the nuclear symmetry energy can be expressed in terms of local operators. We find that the scalar (vector) self-energy part gives negative (positive) contribution to the nuclear symmetry energy, consistent with the results from relativistic mean-field theories. Moreover, the magnitudes are consistent with phenomenological estimates. In terms of the operators, we find that an important contribution to self-energies contributing to the symmetry energy comes from the twist-4 matrix elements, whose leading density dependence can be extracted from deep inelastic scattering experiments. Our result also extends an early success of the QCD sum rule method in understanding the symmetric nuclear matter in terms of QCD variables to the asymmetric nuclear matter case.
Similar content being viewed by others
References
B.A. Li, L.W. Chen, C.M. Ko, Phys. Rep. 464, 113 (2008).
K.S. Jeong, S.H. Lee, Phys. Rev. C 87, 015204 (2013).
L.W. Chen, Phys. Rev. C 83, 044308 (2011).
S.J. Wallace, Annu. Rev. Nucl. Part. Sci. 37, 267 (1987).
B.D. Serot, J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986).
M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385 (1979).
M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 448 (1979).
M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 519 (1979).
L.J. Reinders, H. Rubinstein, S. Yazaki, Phys. Rep. 127, 1 (1985).
B.L. Ioffe, Nucl. Phys. B 188, 317 (1981) 191.
Y. Chung, H.G. Dosch, M. Kremer, D. Schall, Phys. Lett. B 102, 175 (1981).
Y. Chung, H.G. Dosch, M. Kremer, D. Schall, Nucl. Phys. B 197, 55 (1982).
E.G. Drukarev, E.M. Levin, Nucl. Phys. A 511, 679 (1990) 516.
E.G. Drukarev, E.M. Levin, Prog. Part. Nucl. Phys. 27, 77 (1991).
T.D. Cohen, R.J. Furnstahl, D.K. Griegel, Phys. Rev. Lett. 67, 961 (1991).
R.J. Furnstahl, D.K. Griegel, T.D. Cohen, Phys. Rev. C 46, 1507 (1992).
X.m. Jin, T.D. Cohen, R.J. Furnstahl, D.K. Griegel, Phys. Rev. C 47, 2882 (1993).
X.m. Jin, M. Nielsen, T.D. Cohen, R.J. Furnstahl, D.K. Griegel, Phys. Rev. C 49, 464 (1994).
T.D. Cohen, R.J. Furnstahl, D.K. Griegel, X.-m. Jin, Prog. Part. Nucl. Phys. 35, 221 (1995).
E.G. Drukarev, M.G. Ryskin, V.A. Sadovnikova, Phys. Rev. C 70, 065206 (2004).
E.G. Drukarev, M.G. Ryskin, V.A. Sadovnikova, Phys. At. Nucl. 75, 334 (2012).
E.L. Kryshen, Phys. Rev. C 84, 055205 (2011).
H.D. Politzer, Nucl. Phys. B 172, 349 (1980).
E.V. Shuryak, A.I. Vainshtein, Nucl. Phys. B 199, 451 (1982).
E.V. Shuryak, A.I. Vainshtein, Phys. Lett. B 105, 65 (1981).
R.L. Jaffe, M. Soldate, Phys. Lett. B 105, 467 (1981).
R.L. Jaffe, M. Soldate, Phys. Rev. D 26, 49 (1982).
R.K. Ellis, W. Furmanski, R. Petronzio, Nucl. Phys. B 207, 1 (1982).
R.K. Ellis, W. Furmanski, R. Petronzio, Nucl. Phys. B 212, 29 (1983).
S. Choi, T. Hatsuda, Y. Koike, S.H. Lee, Phys. Lett. B 312, 351 (1993).
S.H. Lee, Phys. Rev. D 49, 2242 (1994).
S. Kubis, M. Kutschera, Phys. Lett. B 399, 191 (1997).
G.E. Brown, K. Kubodera, M. Rho, Phys. Lett. B 192, 273 (1987).
Seung Ho Choi, Master’s thesis, Yonsei University, Seoul (1991).
R. Thomas, T. Hilger, B. Kampfer, Nucl. Phys. A 795, 19 (2007).
R.L. Jaffe, M. Soldate, Higher Twist In Electroproduction: A Systematic Qcd Analysis, MIT-CTP-931, MIT 1981.
V. Baran, M. Colonna, V. Greco, M. Di Toro, Phys. Rep. 410, 335 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by A. Ramos
Contribution to the Topical Issue “Nuclear Symmetry Energy” edited by Bao-An Li, Ángels Ramos, Giuseppe Verde, Isaac Vidaña.
Rights and permissions
About this article
Cite this article
Jeong, K.S., Lee, S.H. Symmetry energy from QCD sum rules. Eur. Phys. J. A 50, 16 (2014). https://doi.org/10.1140/epja/i2014-14016-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2014-14016-y