Extracting free-space observables from trapped interacting clusters

Abstract

The energy spectrum of two short-range interacting particles in a harmonic potential trap has previously been related to free-space scattering phase shifts. But the existing formula for this purpose is exact only in the limit of an infinitely shallow trap. Here we provide a systematically improved formula---describing the low-energy dynamics---that enables the use of finite traps. This paves the way for extracting nuclear scattering phase shifts from {\it ab initio} nuclear many-body structure calculations, a long-sought goal in nuclear physics. The derivation establishes effective field theory as a powerful framework for studying the connection between structure information of a trapped system (with two or more sub-clusters) and continuum physics in the fields of both nuclear and condensed-matter physics.

12 Pages, 5 figures. Version 3---close to publication version---has more figures included

References in corpus (7)

• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Effective Theory for Trapped Few-Fermion Systems
• Coulomb-Sturmian basis for the nuclear many-body problem
• Galilean-Invariant XEFT
• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Level rearrangement in exotic atoms and quantum dots

Cited by in corpus (13)

• Nuclear effective field theory: status and perspectives
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Ab initio calculations of low-energy nuclear scattering using confining potential traps
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Nuclear reactions in artificial traps
• Nuclear scattering via quantum computing
• Five-body calculation of $s$-wave $n$-${}^4$He scattering at next-to-leading order pionless effective field theory
• Chiral symmetry and peripheral neutron-$\alpha$ scattering
• Non-Hermitian quantum mechanics approach for extracting and emulating continuum physics based on bound-state-like calculations: Detailed description
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• Mean-field approximation on steroids: exact description of the deuteron
• Calculation of low-energy scattering parameters using artificial oscillator trap
• Trapped two-nucleon system in energy-dependent effective field theory