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Constraining crystalline color superconducting quark matter with gravitational-wave data

Lap-Ming Lin*

  • Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong, China

  • *lmlin@phy.cuhk.edu.hk
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Phys. Rev. D 76, 081502(R) – Published 12 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.081502

Abstract

We estimate the maximum equatorial ellipticity sustainable by compact stars composed of crystalline color-superconducting quark matter. For the theoretically allowed range of the gap parameter Δ, the maximum ellipticity could be as large as 10−2, which is about 4 orders of magnitude larger than the tightest upper limit obtained by the recent science runs of the LIGO and GEO600 gravitational-wave detectors based on the data from 78 radio pulsars. We point out that the current gravitational-wave strain upper limit already has some implications for the gap parameter. In particular, the upper limit for the Crab pulsar implies that Δ is less than O(20)  MeV for a range of quark chemical potential accessible in compact stars, assuming that the pulsar has a mass 1.4M⊙, radius 10 km, breaking strain 10−3, and that it has the maximum quadrupole deformation it can sustain without fracturing.

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Outline

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Phys. Rev. D 76, 081502(R)– Published 12 October, 2007
  • Received 14 May 2007

© 2007 American Physical Society

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