Breaking rotational symmetry in two-flavor color superconductors

Abstract

The color superconductivity under flavor asymmetric conditions relevant to the compact star phenomenology is studied within the Nambu-Jona-Lasinio model. We focus on the effect of the deformation of the Fermi surfaces on the pairing properties and the energy budget of the superconducting state. We find that at finite flavor asymmetries the color superconducting BCS state is unstable towards spontaneous quadrupole deformation of the Fermi surfaces of the $d$ and $u$ quarks into ellipsoidal form. The ground state of the phase with deformed Fermi surfaces corresponds to a superposition of prolate and oblate deformed Fermi ellipsoids of $d$ and $u$ quarks.

6 pages, 4 figures. Parameter changes, references added, conclusions unchanged

References in corpus (6)

• Interior Gap Superfluidity
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model (Addenda)
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model
• Single color and single flavor color superconductivity
• Phases of asymmetric nuclear matter with broken space symmetries
• Phonons and gluons in the crystalline color superconducting phase of QCD

Cited by in corpus (16)

• NJL-model analysis of dense quark matter
• Two lectures on color superconductivity
• Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
• Screening masses in neutral two-flavor color superconductor
• Evaluating the Gapless Color-Flavor Locked Phase
• The ground state in a spin-one color superconductor
• Direct Urca neutrino rate in colour superconducting quark matter
• Rapid cooling of the compact star in Cassiopea A as a phase transition in dense QCD
• Phase diagram of chiral quark matter: Fulde-Ferrell pairing from weak to strong coupling
• Instability of a gapless color superconductor with respect to inhomogeneous fluctuations
• Thermal evolution of massive compact objects with dense quark cores
• Gapless phases of color-superconducting matter
• Cooling compact stars and phase transitions in dense QCD
• Phase diagram of chiral quark matter: color and electrically neutral Fulde-Ferrell phase
• Impact of Multiple Phase Transitions in Dense QCD on Compact Stars
• Exploring phases of dense QCD with compact stars