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Journal Article

Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?


Schwenk,  Achim
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Gandolfi, S., Hammer, H.-.-W., Klos, P., Lynn, J. E., & Schwenk, A. (2017). Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance? Physical Review Letters, 118(23): 232501. doi:10.1103/PhysRevLett.118.232501.

Cite as: https://hdl.handle.net/21.11116/0000-0001-091D-6
We present quantum Monte Carlo calculations of few-neutron systems confined in external potentials based on local chiral interactions at next-to-next-to-leading order in chiral effective field theory. The energy and radial densities for these systems are calculated in different external Woods-Saxon potentials. We assume that their extrapolation to zero external-potential depth provides a quantitative estimate of three-and four-neutron resonances. The validity of this assumption is demonstrated by benchmarking with an exact diagonalization in the two-body case. We find that the extrapolated trineutron resonance, as well as the energy for shallow well depths, is lower than the tetraneutron resonance energy. This suggests that a three-neutron resonance exists below a four-neutron resonance in nature and is potentially measurable. To confirm that the relative ordering of three-and four-neutron resonances is not an artifact of the external confinement, we test that the odd-even staggering in the helium isotopic chain is reproduced within this approach. Finally, we discuss similarities between our results and ultracold Fermi gases.