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Evidence for Multimodal Superfluidity of Neutrons

Yuan-Zhuo Ma, Georgios Palkanoglou, Joseph Carlson, Stefano Gandolfi, Alexandros Gezerlis, Gabriel Given, Ashe Hicks, Dean Lee, Kevin E. Schmidt, Jiabin Yu·February 19, 2026
nucl-thastro-ph.SRcond-mat.supr-connucl-exQuantum Physics

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Abstract

We present theoretical and experimental evidence for a new phase of matter in neutron-rich systems that we call multimodal superfluidity. Using ab initio lattice calculations, we show that the condensate consists of coexisting s-wave pairs, p-wave pairs in entangled double pair combinations, and quartets composed of bound states of two s-wave pairs. We identify multimodal superfluidity as a general feature of single-flavor spin-1/2 fermionic systems with attractive s-wave and p-wave interactions, provided the system is stable against collapse into a dense droplet. Beyond neutrons at sub-saturation densities, we demonstrate that this phase appears in generalized attractive extended Hubbard models in one, two, and three dimensions. We elucidate the mechanism for this coexistence using self-consistent few-body Cooper models and compare with Bardeen-Cooper-Schrieffer theory. We also derive the form of the effective action and show that spin, rotational, and parity symmetries remain unbroken. Finally, we analyze experimental data to show that p-wave pair gaps and quartet gaps are present in atomic nuclei, and we discuss the consequences of this new phase for the structure and dynamics of neutron star crusts.

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