Searching for the Tetraneutron Resonance on the Lattice

Abstract

The nature of the tetraneutron ($4n$) system remains a pivotal question in nuclear physics. We investigate the $4n$ system using nuclear lattice effective field theory in finite volumes with a lattice size up to $L=30$~fm, employing both a high-precision N${}^3$LO interaction and a simplified SU(4) symmetric one. The ground-state energy is found to decrease smoothly with increasing box size, showing no plateau characteristic of a resonance. We further compute the dineutron-dineutron scattering phase shift using Lüscher's finite-volume method. At the smallest relative momenta, the extracted $2n$--$2n$ $S$-wave phase shift is small, consistent with a weak interaction in the dilute limit. At intermediate momenta, it exhibits a weak attraction with a peak of approximately $10^{\circ }$ at relative momentum of 60--84~MeV. While this structure does not constitute a resonance, the corresponding confined $4n$ energy of 1.7--3.3~MeV lies close to the experimentally observed low-energy peak.

References in corpus (49)

• Universality in Few-body Systems with Large Scattering Length
• Ab initio calculation of the Hoyle state
• Structure and rotations of the Hoyle state
• Nucleon-Deuteron Scattering from an Effective Field Theory
• Ab initio alpha-alpha scattering
• Low Energy Expansion in the Three Body System to All Orders and the Triton Channel
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• The detection of neutron clusters
• Nuclear binding near a quantum phase transition
• Can Modern Nuclear Hamiltonians Tolerate a Bound Tetraneutron?
• Essential elements for nuclear binding
• Prediction for a four-neutron resonance
• On the possibility of generating a 4-neutron resonance with a {\boldmath $T=3/2$} isospin 3-neutron force
• Topological phases for bound states moving in a finite volume
• Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?
• Higher Partial Waves in an Effective Field Theory Approach to nd Scattering
• Can tetraneutron be a narrow resonance?
• Real stabilization method for nuclear single particle resonances
• Emergent geometry and duality in the carbon nucleus
• Ab-initio no-core Gamow shell model calculations of multi-neutron systems
• Can realistic nuclear interactions tolerate a resonant tetraneutron ?
• Wavefunction matching for solving quantum many-body problems
• Ab initio nuclear thermodynamics
• The quest for light multineutron systems
• Sub-threshold resonances in few-neutron systems
• Non-resonant Density of States Enhancement at Low Energies for Three or Four Neutrons
• Is the tetraneutron a bound dineutron-dineutron molecule?
• Tetraneutron: Rigorous continuum calculation
• Perturbative quantum Monte Carlo method for nuclear physics
• Low energy structures in nuclear reactions with 4n in the final state
• Unnuclear physics
• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
• Ab initio study of the beryllium isotopes ${}^7$Be to ${}^{12}$Be
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Comment on "Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?" [arXiv:1612.01502]
• Wigner SU(4) symmetry, clustering, and the spectrum of ${}^{12}$C
• Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions
• Tetraneutron resonance in the presence of a dineutron
• Universal dimer-dimer scattering in lattice effective field theory
• Tetraneutron condensation in neutron rich matter
• Study of three-neutron bound and continuum states
• Lattice Effective Field Theory Simulations of Nuclei
• Modelling double charge exchange response function for tetraneutron system
• Floating block method for quantum Monte Carlo simulations
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Ab initio study of the radii of oxygen isotopes
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Impact of dineutrons on nuclear compositions of a core-collapse supernova

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• Short-distance production of three particles with large scattering length