Research PapersNo Access

Quark Clustering and Chiral Symmetry Breaking in Nuclear Matter

O. A. Battistel

Departamento de Física, Universidade Federal de Santa Maria, P. O. Box 5093, 97119-900 Santa Maria, RS, Brazil

Search for more papers by this author

and

G. Krein

Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona, 145 01405-900 São Paulo, SP, Brazil

Search for more papers by this author

https://doi.org/10.1142/S0217732303012040Cited by:6 (Source: Crossref)

Abstract

Chiral symmetry breaking at finite baryon density is usually discussed in the context of quark matter, i.e. a system of deconfined quarks. Many systems like stable nuclei and neutron stars however have quarks confined within nucleons. In this paper we construct a Fermi sea of three-quark nucleon clusters and investigate the change of the quark condensate as a function of baryon density. We study the effect of quark clustering on the in-medium quark condensate and compare results with the traditional approach of modeling hadronic matter in terms of a Fermi sea of deconfined quarks.

Keywords:

References

Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); 124, 246 (1961) . Google Scholar
T. Hatsuda and T. Kunihiro, Phys. Rev. Lett. 55, 158 (1985), DOI: 10.1103/PhysRevLett.55.158. Crossref, Web of Science, ADS, Google Scholar
V. Bernard, U.-G. Meissner and I. Zahed, Phys. Rev. D 36, 819 (1987), DOI: 10.1103/PhysRevD.36.819. Crossref, Web of Science, ADS, Google Scholar
J. da Providência, M. C. Ruivo and C. A. de Souza, Phys. Rev. D 36, 1882 (1987). Crossref, Web of Science, Google Scholar
P. J. A. Bicudo, Phys. Rev. Lett. 72, 1600 (1994), DOI: 10.1103/PhysRevLett.72.1600. Crossref, Web of Science, ADS, Google Scholar
A. Amer, A. Le Yaouanc, L. Oliver, O. Pene and J. C. Raynal, Phys. Rev. Lett. 50, 87 (1983); Phys. Rev. D28, 1530 (1983); P. J. A. Bicudo and J. E. Ribeiro, Phys. Rev. D42, 1611; 1625; 1635 (1990) . Google Scholar
P. J. A Bicudo, G. Krein and J. E. F. T. Ribeiro, Phys. Rev. C64, 025202 (2001); Phys. Rev. D45, 1673 (1992) . Google Scholar
O. A. Battistel, PhD thesis (in Portuguese), Universidade Federal de Minas Gerais, 1999 . Google Scholar
O. A. Battistel and M. C. Nemes, Phys. Rev. D 59, 055010 (1999), DOI: 10.1103/PhysRevD.59.055010. Crossref, Web of Science, Google Scholar
M. E. Bracco, G. Krein and M. Nielsen, Phys. Lett. B 432, 258 (1998). Crossref, Web of Science, ADS, Google Scholar
S. Klevansky, Rev. Mod. Phys. 59, 123 (1990). Google Scholar
T. D. Cohen, R. J. Furnstahl and D. K. Griegel, Phys. Rev. C 45, 1881 (1992), DOI: 10.1103/PhysRevC.45.1881. Crossref, Web of Science, Google Scholar
T. Hatsuda, T. Kunihiro and H. Shimizu, Phys. Rev. Lett. 82, 2840 (1999), DOI: 10.1103/PhysRevLett.82.2840. Crossref, Web of Science, Google Scholar