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Title: Dispersive approaches for three-particle final state interaction

In this work, we presented different representations of Khuri-Treiman equation, the advantage and disadvantage of each representations are discussed. With a scattering amplitude toy model, we also studied the sensitivity of solution of KT equation to left-hand cut of toy model and to the different approximate methods. At last, we give a brief discussion of Watson's theorem when three particles in final states are involved.
Authors:
 [1] ;  [2] ;  [1]
  1. Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Report Number(s):
JLAB-THY-14-1953; DOE/OR/23177-3181; arXiv:1409.8652
Journal ID: ISSN 1434-6001; PII: 318; NSF grant: PHY-1205019
Grant/Contract Number:
AC05-06OR23177; FG02-87ER40365
Type:
Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 51; Journal Issue: 10; Journal ID: ISSN 1434-6001
Publisher:
Springer
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1226147

Guo, Peng, Danilkin, Igor V., and Szczepaniak, Adam P.. Dispersive approaches for three-particle final state interaction. United States: N. p., Web. doi:10.1140/epja/i2015-15135-7.
Guo, Peng, Danilkin, Igor V., & Szczepaniak, Adam P.. Dispersive approaches for three-particle final state interaction. United States. doi:10.1140/epja/i2015-15135-7.
Guo, Peng, Danilkin, Igor V., and Szczepaniak, Adam P.. 2015. "Dispersive approaches for three-particle final state interaction". United States. doi:10.1140/epja/i2015-15135-7. https://www.osti.gov/servlets/purl/1226147.
@article{osti_1226147,
title = {Dispersive approaches for three-particle final state interaction},
author = {Guo, Peng and Danilkin, Igor V. and Szczepaniak, Adam P.},
abstractNote = {In this work, we presented different representations of Khuri-Treiman equation, the advantage and disadvantage of each representations are discussed. With a scattering amplitude toy model, we also studied the sensitivity of solution of KT equation to left-hand cut of toy model and to the different approximate methods. At last, we give a brief discussion of Watson's theorem when three particles in final states are involved.},
doi = {10.1140/epja/i2015-15135-7},
journal = {European Physical Journal. A},
number = 10,
volume = 51,
place = {United States},
year = {2015},
month = {10}
}