Three-body dwell time
Abstract
The lifetime of an unstable state or resonance formed as an intermediate state in two-body scattering is known to be related to the dwell time or the time spent within a given region of space by the two interacting particles. This concept is extended to the case of three-body systems and a relation connecting the three-body dwell time with the two-body dwell times of the substructures of the three-body system is derived for the case of separable wave functions. The Kapur-Peierls formalism is revisited to discover one of the first definitions of dwell time in the literature. An extension of the Kapur-Peierls formalism to the three-body case shows that the lifetime of a three-body resonance can indeed be given by the three-body dwell time.
- Authors:
-
- Departamento de Fisica, Universidad de los Andes, Cra. 1E No. 18A-10, Bogota (Colombia)
- Publication Date:
- OSTI Identifier:
- 21407895
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 81; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.81.062109; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FASTENING; LIFETIME; PARTICLES; RESONANCE; SCATTERING; SPACE; THREE-BODY PROBLEM; TWO-BODY PROBLEM; WAVE FUNCTIONS; FABRICATION; FUNCTIONS; JOINING; MANY-BODY PROBLEM
Citation Formats
Kelkar, N G. Three-body dwell time. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVA.81.062109.
Kelkar, N G. Three-body dwell time. United States. https://doi.org/10.1103/PHYSREVA.81.062109
Kelkar, N G. 2010.
"Three-body dwell time". United States. https://doi.org/10.1103/PHYSREVA.81.062109.
@article{osti_21407895,
title = {Three-body dwell time},
author = {Kelkar, N G},
abstractNote = {The lifetime of an unstable state or resonance formed as an intermediate state in two-body scattering is known to be related to the dwell time or the time spent within a given region of space by the two interacting particles. This concept is extended to the case of three-body systems and a relation connecting the three-body dwell time with the two-body dwell times of the substructures of the three-body system is derived for the case of separable wave functions. The Kapur-Peierls formalism is revisited to discover one of the first definitions of dwell time in the literature. An extension of the Kapur-Peierls formalism to the three-body case shows that the lifetime of a three-body resonance can indeed be given by the three-body dwell time.},
doi = {10.1103/PHYSREVA.81.062109},
url = {https://www.osti.gov/biblio/21407895},
journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 81,
place = {United States},
year = {Tue Jun 15 00:00:00 EDT 2010},
month = {Tue Jun 15 00:00:00 EDT 2010}
}