Modified dilepton production rate from charged pion-pair annihilation in the inhomogeneous chiral condensed phase

Abstract

We investigate the dilepton production rates from annihilation processes of charged pion pairs with modified pion dispersion relations in the inhomogeneous chiral condensed phase. We assume a dual chiral density wave as an inhomogeneous chiral condensate, and obtain the dispersion relations of the Nambu-Goldstone modes in the inhomogeneous chiral condensed phase. We use a low energy effective Lagrangian based on the O(4) symmetry which is expanded by the order parameter up to the sixth order. The obtained dispersion relations are anisotropic and quadratic for the momentum. We evaluate the electron-positron production rates by charged pion-pair annihilations as functions of an invariant mass using the obtained dispersion relations. Basically, the production rate in the inhomogeneous chiral condensed phase has a steeper overall slope with respect to an invariant mass than that in the homogeneous chiral condensed phase. Therefore, the production rate may be enhanced when the invariant mass is around twice the pion mass.

11 pages, 5 figures

References in corpus (8)

• Color superconductivity in dense quark matter
• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Novel Lifshitz point for chiral transition in the magnetic field
• Signatures of Moat Regimes in Heavy-Ion Collisions
• Particle Interferometry in a Moat Regime

Cited by in corpus (3)

• The QCD moat regime and its real-time properties
• Dilepton production from moaton quasiparticles
• Dissecting the moat regime at low energies I: Renormalization and the phase structure