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Phys. Rev. D 72, 096004 (2005) [5 pages]

BCS-BEC crossover in a relativistic superfluid and its significance to quark matter

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Yusuke Nishida1,* and Hiroaki Abuki2,†
1Department of Physics, University of Tokyo, Tokyo 113-0033, Japan
2Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

Received 18 April 2005; published 18 November 2005

The character change of a superfluid state due to the variation of the attractive force is investigated in the relativistic framework with a massive fermion. Two crossovers are found. One is a crossover from the usual BCS state to the Bose-Einstein condensation (BEC) of bound fermion pairs. The other is from the BEC to the relativistic Bose-Einstein condensation (RBEC) of nearly massless bound pairs where antiparticles as well as particles dominate the thermodynamics. Possible realization of the BEC and RBEC states in the quark matter is also pointed out.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.096004
DOI:
10.1103/PhysRevD.72.096004
PACS:
74.20.Fg, 03.75.Nt, 11.10.Wx, 12.38.−t

*E-mail: nishida@nt.phys.s.u-tokyo.ac.jp

E-mail: abuki@yukawa.kyoto-u.ac.jp