In-medium hyperon potentials and the quarkyonic hyperon onset: charged 's in -equilibrium and the neutrino connection
arXiv:2607.09280
Abstract
Quarkyonic matter resolves the neutron-star hyperon puzzle statistically: neutrons fill low-momentum -quark phase space, shifting the threshold from $\muB=M_Y$ to and suppressing residual softening by $1/\Nc^3$ in the Fujimoto--Kojo--McLerran (FKM) mechanism. We dress FKM's IdylliQ model with in-medium potentials, constrained by hypernuclear data and neutrino-induced hyperon FSI, and find: (i) the dressed onset, $\muB^{\rm onset}=(2M_Y{-}M_N)+2U_Y-\UN$, carries at weight 2, with $dn_{\rm onset}/dU_Y\simeq0.3\,\nz$ per $10\MeV$, twice the leverage. (ii) A self-consistent neutron potential enters at weight , so protection needs $\UN(n_{\rm onset})\lesssim+96\MeV$. (iii) With leptons in equilibrium, the () onset becomes $\mue\ge258\MeV+\US-\UN$, never reached inside a $2\,\Msun$ core: switches from first hyperon to forbidden and the ordering inverts. (iv) The $\kY\ge\kbu$ continuation gives TOV softening below $0.05\,\Msun$ in the FKM ansatz family and below $0.025\,\Msun$ for the realistic interacting star, -- below hadronic models. In the family this is a ceiling; generally it is a floor, since hyperons above $\kbu$ are omitted. (v) In an interacting low-density sector calibrated to $\Mmax=2.12\,\Msun$, core strangeness is controlled by $(\UL(\nz),c_Λ)$: at $\UL(\nz)=-28\MeV$, the maximum-mass star is hyperon-free once the supra-saturation turn-over exceeds a few-MeV threshold . Projected SBND+DUNE FSI precision pins $\UL(\nz)$ but leaves -- to which neutrino data are blind -- decisive: with the heavy-ion prior, $P({\rm hyperon\mbox{-}free\ core})=0.90$, versus from priors alone, prior-dominated rather than measured. The sharpest observable is differential: $d\Mmax/dU_Y$ is an order of magnitude smaller than in mean-field models, discriminating the two resolutions.
9 pages, 6 figures