Three-particle scattering amplitudes from a finite volume formalism

Briceño, Raúl A.; Davoudi, Zohreh

doi:10.1103/PhysRevD.87.094507

Title: Three-particle scattering amplitudes from a finite volume formalism

Full Record
Other Related Research

Authors:: Briceño, Raúl A.; Davoudi, Zohreh

Publication Date:: Mon May 20 00:00:00 EDT 2013

Sponsoring Org.:: USDOE

OSTI Identifier:: 1102709

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 87; Journal Issue: 9; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Briceño, Raúl A., and Davoudi, Zohreh. Three-particle scattering amplitudes from a finite volume formalism.  United States: N. p., 2013. 
Web.  doi:10.1103/PhysRevD.87.094507.

Copy to clipboard


                    Briceño, Raúl A., & Davoudi, Zohreh. Three-particle scattering amplitudes from a finite volume formalism.  United States.  https://doi.org/10.1103/PhysRevD.87.094507

Copy to clipboard


                    Briceño, Raúl A., and Davoudi, Zohreh. Mon .  
"Three-particle scattering amplitudes from a finite volume formalism".  United States.  https://doi.org/10.1103/PhysRevD.87.094507.

Copy to clipboard


                    
@article{osti_1102709,

  title        = {Three-particle scattering amplitudes from a finite volume formalism},

  author       = {Briceño, Raúl A. and Davoudi, Zohreh},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.87.094507},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 87,

  place        = {United States},

  year         = {Mon May 20 00:00:00 EDT 2013},

  month        = {Mon May 20 00:00:00 EDT 2013}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.87.094507

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 61 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism

Journal Article Briceño, Raúl A. ; Hansen, Maxwell T. ; Sharpe, Stephen R. ; ... - Physical Review D

Hansen and Sharpe [Phys. Rev. D 92, 114509 (2015)PRVDAQ1550-799810.1103/PhysRevD.92.114509] derived a relation between the scattering amplitude of three identical bosons, M3, and a real function referred to as the divergence-free K matrix and denoted Kdf,3. The result arose in the context of a relation between finite-volume energies and Kdf,3, derived to all orders in the perturbative expansion of a generic low-energy effective field theory. In this work we set aside the role of the finite volume and focus on the infinite-volume relation between Kdf,3 and M3. We show that, for any real choice of Kdf,3, M3 satisfies the three-particle unitaritymore »« less
Cited by 30
https://doi.org/10.1103/PhysRevD.100.054508
Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude

Journal Article Hansen, Maxwell T. ; Sharpe, Stephen R. - Physical Review D
Cited by 140
https://doi.org/10.1103/PhysRevD.92.114509
Construction of Non-Perturbative, Unitary Particle-Antiparticle Amplitudes for Finite Particle Number Scattering Formalisms

Technical Report Lindesay, James V

Starting from a unitary, Lorentz invariant two-particle scattering amplitude, we show how to use an identification and replacement process to construct a unique, unitary particle-antiparticle amplitude. This process differs from conventional on-shell Mandelstam s,t,u crossing in that the input and constructed amplitudes can be off-diagonal and off-energy shell. Further, amplitudes are constructed using the invariant parameters which are appropriate to use as driving terms in the multi-particle, multichannel nonperturbative, cluster decomposable, relativistic scattering equations of the Faddeev-type integral equations recently presented by Alfred, Kwizera, Lindesay and Noyes. It is therefore anticipated that when so employed, the resulting multi-channel solutions willmore »« less
https://doi.org/10.2172/799052

Full Text Available
Three-particle finite-volume formalism for $π^{+} π^{+} K^{+}$ and related systems

Journal Article Blanton, Tyler D. ; Sharpe, Stephen R. - Physical Review D

We consider three-particle systems consisting of two identical particles and a third that is different, with all being spinless. Examples include π⁺π⁺K⁺ and K⁺K⁺π⁺. We derive the formalism necessary to extract two- and three-particle infinite-volume scattering amplitudes from the spectrum of such systems in finite volume. We use a relativistic formalism based on an all-orders diagrammatic analysis in generic effective field theory, adopting the methodology used recently to study the case of three nondegenerate particles. We present both a direct derivation, and also a cross-check based on an appropriate limit and projection of the fully nondegenerate formalism. We also workmore »« less
https://doi.org/10.1103/PhysRevD.104.034509
Decay amplitudes to three hadrons from finite-volume matrix elements

Journal Article Hansen, Maxwell T. ; Romero-López, Fernando ; Sharpe, Stephen R. - Journal of High Energy Physics (Online)

We derive relations between finite-volume matrix elements and infinite-volume decay amplitudes, for processes with three spinless, degenerate and either identical or non-identical particles in the final state. This generalizes the Lellouch-Lüscher relation for two-particle decays and provides a strategy for extracting three-hadron decay amplitudes using lattice QCD. Unlike for two particles, even in the simplest approximation, one must solve integral equations to obtain the physical decay amplitude, a consequence of the nontrivial finite-state interactions. We first derive the result in a simplified theory with three identical particles, and then present the generalizations needed to study phenomenologically relevant three-pion decays. Themore »« less
https://doi.org/10.1007/jhep04(2021)113

Full Text Available

Similar Records