Skip to main content

NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.

Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.

U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

A Two-Channel R-Matrix Analysis of Magnetic Field Induced Feshbach Resonances

Published

Author(s)

N Nygaard, Barry I. Schneider, Paul S. Julienne

Abstract

A Feshbach resonance arises in cold atom scattering due to the complex interplay between several coupled channels. However, the essential physics of the resonance may be encapsulated in a simplified model consisting of just two coupled channels. In this paper we describe in detail how such an effective Feshbach model can be constructed from knowledge of a few key parameters, characterizing the atomic Born-Oppeheimer potentials and the low energy scattering near the resonance. These parameters may be obtained either from experiment or full coupled channels calculations. Using R-matrix theory we analyze the bound state spectrum and the scattering properties of the two-channel model, and find it to be in good agreement with exact calculations.
Citation
Physical Review A (Atomic, Molecular and Optical Physics)

Keywords

cold atom collision, Feshbach resonance, R-matrix theory, two-channel theory

Citation

Nygaard, N. , Schneider, B. and Julienne, P. (2021), A Two-Channel R-Matrix Analysis of Magnetic Field Induced Feshbach Resonances, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed October 11, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created October 12, 2021
Was this page helpful?