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The Crystallography of Strange Quark Matter
High Energy Physics - Phenomenology · Submitted 6 Jun 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We develop a qualitative understanding of what makes a crystal structure stable, and find two structures with particularly large values of Delta and the condensation energy, within a factor of two of those for the CFL phase known to characterize QCD at asymptotically large densities.
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The abstract, sentence by sentence
Cold three-flavor quark matter at large (but not asymptotically large) densities may exist as a crystalline color superconductor. We explore this possibility by calculating the gap parameter Delta and free energy Omega(Delta) for possible crystal structures within a Ginzburg-Landau approximation, evaluating Omega(Delta) to order Delta^6. We develop a qualitative understanding of what makes a crystal structure stable, and find two structures with particularly large values of Delta and the condensation energy, within a factor of two of those for the CFL phase known to characterize QCD at asymptotically large densities. The robustness of these phases results in their being favored over wide ranges of density and though it also implies that the Ginzburg-Landau approximation is not quantitatively reliable, previous work suggests that it can be trusted for qualitative comparisons between crystal structures. We close with a look ahead at the calculations that remain to be done in order to make contact with observed pulsar glitches and neutron star cooling.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Cold three-flavor quark matter at large (but not asymptotically large) densities may exist as a crystalline color superconductor. | background 0.96 | 0.11 | 0.55 | hedged possibility 1.00 |
| s1 | We explore this possibility by calculating the gap parameter Delta and free energy Omega(Delta) for possible crystal structures within a Ginzburg-Landau approximation, evaluating Omega(Delta) to order Delta^6. | method 0.84 | 0.96 | 0.05 | asserted 0.96 |
| s2 | We develop a qualitative understanding of what makes a crystal structure stable, and find two structures with particularly large values of Delta and the condensation energy, within a factor of two of those for the CFL phase known to characterize QCD at asymptotically large densities. | result 0.98 | 0.95 | 0.67 | asserted 1.00 |
| s3 | The robustness of these phases results in their being favored over wide ranges of density and though it also implies that the Ginzburg-Landau approximation is not quantitatively reliable, previous work suggests that it can be trusted for qualitative comparisons between crystal structures. | interpretation 0.59 | 0.56 | 0.25 | asserted 0.74 |
| s4 | We close with a look ahead at the calculations that remain to be done in order to make contact with observed pulsar glitches and neutron star cooling. | future work 1.00 | 0.27 | 0.03 | unclear 0.67 |
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The paper
Original abstract
Cold three-flavor quark matter at large (but not asymptotically large) densities may exist as a crystalline color superconductor. We explore this possibility by calculating the gap parameter Delta and free energy Omega(Delta) for possible crystal structures within a Ginzburg-Landau approximation, evaluating Omega(Delta) to order Delta^6. We develop a qualitative understanding of what makes a crystal structure stable, and find two structures with particularly large values of Delta and the condensation energy, within a factor of two of those for the CFL phase known to characterize QCD at asymptotically large densities. The robustness of these phases results in their being favored over wide ranges of density and though it also implies that the Ginzburg-Landau approximation is not quantitatively reliable, previous work suggests that it can be trusted for qualitative comparisons between crystal structures. We close with a look ahead at the calculations that remain to be done in order to make contact with observed pulsar glitches and neutron star cooling.
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2 arXiv papers cite this in 4 sentences
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Cites it as background 1 paper
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The quark matter counterparts of the Larkin-Ovchinnikov phase, within the Ginzburg-Landau approximation, have been studied in the two- and three-flavor cases in Refs. [ref] .
Phase diagram of chiral quark matter: Fulde-Ferrell pairing from weak to strong coupling · Introduction · 0.95
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