Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter

Abstract

We present quantum Monte Carlo calculations of light nuclei, neutron-$\alpha$ scattering, and neutron matter using local two- and three-nucleon ($3N$) interactions derived from chiral effective field theory up to next-to-next-to-leading order (N${}^2$LO). The two undetermined $3N$ low-energy couplings are fit to the ${}^4$He binding energy and, for the first time, to the spin-orbit splitting in the neutron-$\alpha$ $P$-wave phase shifts. Furthermore, we investigate different choices of local $3N$-operator structures and find that chiral interactions at N${}^2$LO are able to simultaneously reproduce the properties of $A=3,4,5$ systems and of neutron matter, in contrast to commonly used phenomenological $3N$ interactions.

5 pages, 3 figures, 1 table - updated version: small wording changes, one reference change

References in corpus (17)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Three-body forces: From cold atoms to nuclei
• Local three-nucleon interaction from chiral effective field theory
• Quantifying truncation errors in effective field theory
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Neutron Matter from Low to High Density
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He

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