Hadron Wavefunctions as a Probe of a Two Color Baryonic Medium

Abstract

The properties of the ground state of two-color QCD at non-zero baryon chemical potential $\mu$ present an interesting problem in strongly-interacting gauge theory; in particular the nature of the physically-relevant degrees of freedom in the superfluid phase in the post-onset regime $\mu >m_{\pi }/2$ still needs clarification. In this study we present evidence for in-medium effects at high $\mu$ by studying the wavefunctions of mesonic and diquark states using orthodox lattice simulation techniques, made possible by the absence of a Sign Problem for the model with $N_f=2$. Our results show that beyond onset the spatial extent of hadrons decreases as $\mu$ grows, and that the wavefunction profiles are consistent with the existence of a dynamically-gapped Fermi surface in this regime.

Comments: 22 pages, 9 figures