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We explore bright soliton solutions of ultracold Bose-Fermi gases, showingthat the presence of p-wave interactions can remove the usual collapseinstability and support stable soliton solutions that are global energy minima.A variational model that incorporates the relevant s- and p-wave interactionsin the system is established analytically and solved numerically to probe thedependencies of the solitons on key experimental parameters. Under attractives-wave interactions, bright solitons exist only as meta-stable statessusceptible to collapse. Remarkably, the presence of repulsive p-waveinteractions alleviates this collapse instability. This dramatically widens therange of experimentally-achievable soliton solutions and indicates greatlyenhanced robustness. While we focus specifically on the boson-fermion pairingof 87Rb and 40K, the stabilization inferred by repulsive p-wave interactionsshould apply to the wider remit of ultracold Bose-Fermi mixtures.

p-Wave stabilization of three-dimensional Bose-Fermi solitons