• Rapid Communication

Extracting free-space observables from trapped interacting clusters

Xilin Zhang
Phys. Rev. C 101, 051602(R) – Published 14 May 2020
PDFHTMLExport Citation

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 systems with a nonzero interaction range is exact only in the limit of an infinitely shallow trap. Here I 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 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 subclusters) and continuum physics in the fields of both nuclear and condensed-matter physics.

  • Figure
  • Received 24 June 2019
  • Revised 4 September 2019
  • Accepted 27 April 2020

DOI:https://doi.org/10.1103/PhysRevC.101.051602

©2020 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear Physics

Authors & Affiliations

Xilin Zhang*

  • Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA and Physics Department, University of Washington, Seattle, Washington 98195, USA

  • *zhang.10038@osu.edu

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 101, Iss. 5 — May 2020

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×