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    New Class of Three-Nucleon Forces and Their Implications

    Vincenzo Cirigliano*, Maria Dawid†, Wouter Dekens‡, and Sanjay Reddy§

    • Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195, USA

    • *Contact author: cirigv@uw.edu
    • †Contact author: mdawid@uw.edu
    • ‡Contact author: wdekens@uw.edu
    • §Contact author: sareddy@uw.edu

    Phys. Rev. Lett. 135, 022501 – Published 8 July, 2025

    DOI: https://doi.org/10.1103/kn79-f5m9

    Abstract

    We identify a new class of three-nucleon forces that arises in the low-energy effective theory of nuclear interactions including pions. We estimate their contribution to the energy of neutron and nuclear matter and find that it can be as important as the leading-order three-nucleon forces previously considered in the literature. The magnitude of this force is set by the strength of the coupling of pions to two nucleons and is presently not well constrained by experiments. The implications for nuclei, nuclear matter, and the equation of state of neutron matter are briefly discussed.

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