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The Surface Tension of Quark Matter in a Geometrical Approach

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arxiv 1207.5186 v1 pith:TLQWGLNM submitted 2012-07-21 hep-ph astro-ph.HEcond-mat.othernucl-th

classification hep-phastro-ph.HEcond-mat.othernucl-th
keywords surfacetensionquarkmattermodelapproachapproxcritical
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The surface tension of quark matter plays a crucial role for the possibility of quark matter nucleation during the formation of compact stellar objects, because it determines the nucleation rate and the associated critical size. However, this quantity is not well known and the theoretical estimates fall within a wide range, $\gamma_0 \approx 5-300 MeV/fm^2$. We show here that once the equation of state is available one may use a geometrical approach to obtain a numerical value for the surface tension that is consistent with the model approximations adopted. We illustrate this method within the two-flavor linear \sigma model and the Nambu--Jona-Lasinio model with two and three flavors. Treating these models in the mean-field approximation, we find $\gamma_0 \approx 7-30 MeV/fm^2$. Such a relatively small surface tension would favor the formation of quark stars and may thus have significant astrophysical implications. We also investigate how the surface tension decreases towards zero as the temperature is raised from zero to its critical value.

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Cited by 4 Pith papers

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    Using full general relativity, the authors compute f-mode oscillation frequencies for neutron stars with hyperons, delta baryons, and quark-matter cores, and find composition-dependent shifts in universal asteroseismo...

  2. Quark and hybrid stars with renormalization group improvement of NNLO perturbative QCD

    nucl-th 2026-06 unverdicted novelty 5.0 of 10

    RGOPT-resummed NNLO pQCD EoS for massive quarks in beta equilibrium is fitted and applied to construct pure quark stars (X=3.08-3.58) and hybrid stars (X~2-2.98) compatible with PSR J0740+6620 and GW190814.

  3. Probing up-down quark matter via gravitational waves

    astro-ph.HE 2019-08 conditional novelty 5.0 of 10

    Up-down quark stars in the two-families scenario yield tidal deformabilities compatible with GW170817, constraining the effective bag constant to approximately 50 MeV/fm^3.

  4. Phase transitions in neutron stars and their links to gravitational waves

    astro-ph.HE 2019-07 unverdicted novelty 2.0 of 10

    Review of neutron star dense matter, hadron-quark phase transitions, and potential g-mode signatures in gravitational waves from multimessenger observations.

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