Prog. Theor. Phys. Vol. 94 No. 6 (1995) pp. 1073-1088

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Hartree-Bogoliubov Theory of Quark Matter

— Condensation Energy in Strange Quark Matter —

Masaharu Iwasaki and Tomohiko Iwado

Department of Physics, Kochi University, Kochi 780

(Received July 3, 1995)

Abstract:

We apply the Hartree-Bogoliubov theory to quark matter and discuss the stability of strange quark matter in the MIT bag model. Taking the one-gluon exchange potential between two quarks, we find attractive force between two-quarks in the color-triplet and spin-parallel state. If the Hartree-Bogoliubov approximation is applied to the quark matter, the ground state becomes a superconducting (BCS) state. It is shown that the condensation energy becomes larger with the quark density and is favorable for the stability of the strange quark matter.

URL : http://ptp.ipap.jp/link?PTP/94/1073/
DOI : 10.1143/PTP.94.1073

References:

E. Witten, Phys. Rev. D30 (1984), 272[APS].
S. Chin and A. K. Kerman, Phys. Rev. Lett. 43 (1979), 1292[APS].
R. Tamagaki and T. Tatsumi, Prog. Theor. Phys. Suppl. No. 112 (1994), chapter 9.
E. Farhi and R. L. Jaffe, Phys. Rev. D30 (1984), 2379[APS].
M. S. Berger and R. L. Jaffe, Phys. Rev. C35 (1987), 213[APS].
C. Greiner, D. H-.Rischke, H. Stoeker and R. Koch, Phys. Rev. D38 (1988), 2797[APS].
J. Madsen, Phys. Rev. D47 (1993), 5156[APS].
E. P. Gilson and R. L. Jaffe, Phys. Rev. Lett. 71 (1993), 332[APS].
M. Kasuya, T. Saito and M. Yasuè, Phys. Rev. D47 (1993), 2153[APS].
M. Ishii and R. Tamagaki, Prog. Theor. Phys. 89 (1993), 657[PTP]; 87 (1992), 969.
D. S. Koltun and S. Tosa, Phys. Lett. 172B (1986), 267.
S. Tosa, Phys. Rev. C34 (1986), 2302[APS].
D. Bailin and A. Love, Nucl. Phys. B205 (1982), 119; B190 (1981), 175, 751.
L. A. Kondratyuk, M. M. Giannini and M. I. Krivoruchenko, Phys. Lett. 269B (1991), 139.
L. A. Kondratyuk and M. I. Krivoruchenko, Z. Phys. A344 (1992), 99.
M. Iwasaki and T. Iwado, Phys. Lett. 350B (1995), 163.
H. Bando and M. Bando, Phys. Lett. 100B (1981), 228.
T. Hatsuda, Prog. Theor. Phys. 70 (1983), 1685[PTP].
P. W. Anderson and P. Morel, Phys. Rev. 123 (1961), 1911[APS].
A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn and V. F. Weisskopf, Phys. Rev. D9 (1974), 3471[APS].
T. DeGrand, R. L. Jaffe, K. Johnson and J. Kiskis, Phys. Rev. D12 (1975), 2060[APS].
J. I. Kapusta, Finite-Temparature Field Theory (Cambridge University Press, 1993), p. 140.
G. M. Eliashberg, Sov. Phys.-JETP 11 (1960), 696.

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