Effective forces between quantum bound states

Abstract

Recent ab initio lattice studies have found that the interactions between alpha particles (4He nuclei) are sensitive to seemingly minor details of the nucleon-nucleon force such as interaction locality. In order to uncover the essential physics of this puzzling phenomenon without unnecessary complications, we study a simple model involving two-component fermions in one spatial dimension. We probe the interaction between two bound dimers for several different particle-particle interactions and measure an effective potential between the dimers using external point potentials which act as numerical tweezers. We find that the strength and range of the local part of the particle-particle interactions play a dominant role in shaping the interactions between the dimers and can even determine the overall sign of the effective potential.

Final version to be published in Physical Review Letters. Main text: 5 pages, 5 figures. Supplemental material: 2 pages, 2 figures

References in corpus (7)

• Weakly bound dimers of fermionic atoms
• A nucleus-dependent valence-space approach to nuclear structure
• Structure of ${}^{78}$Ni from first principles computations
• Ab initio calculation of the potential bubble nucleus ${}^{34}$Si
• Exciton-exciton scattering: Composite boson versus elementary boson
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• Universal dimer-dimer scattering in lattice effective field theory

Cited by in corpus (9)

• Essential elements for nuclear binding
• Ab initio calculations of the isotopic dependence of nuclear clustering
• Ab initio nuclear thermodynamics
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Wigner SU(4) symmetry, clustering, and the spectrum of ${}^{12}$C
• Alpha-alpha scattering in the Multiverse
• Effective interactions between nuclear clusters
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations