Topology change and nuclear symmetry energy in compact-star matter

Abstract

We show that the cusp-like structure in the nuclear symmetry energy, a consequence of topology change, visible in the skyrmion lattice description of dense matter is extremely robust. It is present in the Skyrme model -- with the pion field only -- and is left unscathed by massive degrees of freedom such as the vector mesons $\rho$ and $\omega$ and also the scalar meson introduced as a dilaton. It leads to the emergence of parity-doubling at the skyrmion-half-skyrmion transition and impacts on the nuclear symmetry energy "wilderness" landscape, weeding out roughly half of the wilderness. It is shown that a pseudo-conformal sound velocity arises at a precocious density at which the cusp is formed. It is suggested that the topology change, being robust, could impact on the tidal deformability observed in gravity waves

arXiv commentAn appendix is added to briefly explain the procedure of the numerical calculation

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Cited by in corpus (5)

• A pseudo-conformal structure in dense baryonic matter
• Topology and emergent symmetries in dense compact star matter
• Topology change, emergent symmetries and compact star matter
• Fractionalized Quasiparticles in Dense Baryonic Matter
• Mapping topology to nuclear dilaton-HLS effective field theory for dense baryonic matter