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Title: Dispersive approaches for three-particle final state interaction

Journal Article · · European Physical Journal. A
 [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)

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.

Research Organization:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
AC05-06OR23177; FG02-87ER40365
OSTI ID:
1226147
Report Number(s):
JLAB-THY--14-1953; DOE/OR/23177--3181; arXiv:1409.8652; PII: 318; NSF grant: PHY-1205019
Journal Information:
European Physical Journal. A, Journal Name: European Physical Journal. A Journal Issue: 10 Vol. 51; ISSN 1434-6001
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

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  • Haas, Florian; Armstrong, David; Burkert, Volker
  • 12TH INTERNATIONAL CONFERENCE ON MESON-NUCLEON PHYSICS AND THE STRUCTURE OF THE NUCLEON (MENU 2010), AIP Conference Proceedings https://doi.org/10.1063/1.3647141
conference January 2011
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Cited By (8)

One spatial dimensional finite volume three-body interaction for a short-range potential journal March 2017
Numerical approach for finite volume three-body interaction journal January 2018
Variational approach to N -body interactions in finite volume journal November 2018
Multiple-particle interaction in ( 1 + 1 )-dimensional lattice model journal January 2019
Three-body unitarity with isobars revisited journal September 2017
Dispersive analysis of $$\eta \rightarrow 3 \pi $$ η → 3 π journal November 2018
Solving integral equations in $$\eta \rightarrow 3\pi $$ η → 3 π journal November 2018
Variational approach to $N$-body interactions in finite volume text January 2018

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