Lattice operators for scattering of particles with spin
Abstract
We construct operators for simulating the scattering of two hadrons with spin on the lattice. Three methods are shown to give the consistent operators for P N, P V, V N and N N scattering, where P, V and N denote pseudoscalar, vector and nucleon. Explicit expressions for operators are given for all irreducible representations at lowest two relative momenta. Each hadron has a good helicity in the first method. The hadrons are in a certain partial wave L with total spin S in the second method. These enable the physics interpretations of the operators obtained from the general projection method. The correct transformation properties of the operators in all three methods are proven. Lastly, the total momentum of two hadrons is restricted to zero since parity is a good quantum number in this case.
- Authors:
-
- Univ. of Ljubljana, Ljubljana (Slovenia); Jozef Stefan Institute, Ljubljana (Slovenia); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Jozef Stefan Institute, Ljubljana (Slovenia)
- Univ. of Graz, Graz (Austria)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1349637
- Report Number(s):
- JLAB-THY-16-2282; DOE/OR/23177-3871
Journal ID: ISSN 1029-8479; PII: 5429; TRN: US1700921
- Grant/Contract Number:
- AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 1; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Lattice Quantum Field Theory
Citation Formats
Prelovsek, S., Skerbis, U., and Lang, C. B. Lattice operators for scattering of particles with spin. United States: N. p., 2017.
Web. doi:10.1007/JHEP01(2017)129.
Prelovsek, S., Skerbis, U., & Lang, C. B. Lattice operators for scattering of particles with spin. United States. https://doi.org/10.1007/JHEP01(2017)129
Prelovsek, S., Skerbis, U., and Lang, C. B. Mon .
"Lattice operators for scattering of particles with spin". United States. https://doi.org/10.1007/JHEP01(2017)129. https://www.osti.gov/servlets/purl/1349637.
@article{osti_1349637,
title = {Lattice operators for scattering of particles with spin},
author = {Prelovsek, S. and Skerbis, U. and Lang, C. B.},
abstractNote = {We construct operators for simulating the scattering of two hadrons with spin on the lattice. Three methods are shown to give the consistent operators for P N, P V, V N and N N scattering, where P, V and N denote pseudoscalar, vector and nucleon. Explicit expressions for operators are given for all irreducible representations at lowest two relative momenta. Each hadron has a good helicity in the first method. The hadrons are in a certain partial wave L with total spin S in the second method. These enable the physics interpretations of the operators obtained from the general projection method. The correct transformation properties of the operators in all three methods are proven. Lastly, the total momentum of two hadrons is restricted to zero since parity is a good quantum number in this case.},
doi = {10.1007/JHEP01(2017)129},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2017,
place = {United States},
year = {Mon Jan 30 00:00:00 EST 2017},
month = {Mon Jan 30 00:00:00 EST 2017}
}
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Works referenced in this record:
On the general theory of collisions for particles with spin
journal, August 1959
- Jacob, M.; Wick, G. C.
- Annals of Physics, Vol. 7, Issue 4
Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991
- Lüscher, Martin
- Nuclear Physics B, Vol. 354, Issue 2-3
Resonance properties from the finite-volume energy spectrum
journal, August 2008
- Bernard, V.; Lage, M.; Meißner, U.-G.
- Journal of High Energy Physics, Vol. 2008, Issue 08, Article No. 024
Quantum Theory of Angular Momentum
book, October 1988
- Varshalovich, D. A.; Moskalev, A. N.; Khersonskii, V. K.
Two-nucleon higher partial-wave scattering from lattice QCD
journal, February 2017
- Berkowitz, Evan; Kurth, Thorsten; Nicholson, Amy
- Physics Letters B, Vol. 765
On the General Theory of Collisions for Particles with Spin
journal, April 2000
- Jacob, M.; Wick, G. C.
- Annals of Physics, Vol. 281, Issue 1-2
Matrix elements of unstable states
journal, September 2012
- Bernard, V.; Hoja, D.; Meißner, U. -G.
- Journal of High Energy Physics, Vol. 2012, Issue 9
Helicity operators for mesons in flight on the lattice
journal, January 2012
- Thomas, Christopher E.; Edwards, Robert G.; Dudek, Jozef J.
- Physical Review D, Vol. 85, Issue 1
Multiparticle states and the hadron spectrum on the lattice
journal, September 2006
- Moore, David C.; Fleming, George T.
- Physical Review D, Vol. 74, Issue 5
Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD
journal, October 2016
- Moir, Graham; Peardon, Michael; Ryan, Sinéad M.
- Journal of High Energy Physics, Vol. 2016, Issue 10
Spectroscopy with heavy-quark symmetry
journal, March 1991
- Isgur, Nathan; Wise, Mark B.
- Physical Review Letters, Vol. 66, Issue 9
Clebsch-Gordan construction of lattice interpolated fields for excited baryons
journal, October 2005
- Basak, Subhasish; Edwards, Robert; Fleming, George T.
- Physical Review D, Vol. 72, Issue 7
Two-nucleon systems in a finite volume. II. coupled channels and the deuteron
journal, December 2013
- Briceño, Raúl A.; Davoudi, Zohreh; Luu, Thomas C.
- Physical Review D, Vol. 88, Issue 11
Field Theory for Today: The Quantum Theory of Fields . Volume 1, Foundations. Steven Weinberg. Cambridge University Press, New York, 1995. xxvi, 609 pp. $49.95 or £35.
journal, September 1995
- Georgi, Howard
- Science, Vol. 269, Issue 5231
Clebsch-Gordan construction of lattice interpolated fields for excited baryons
text, January 2005
- Basak, Subhasish; Edwards, Robert G.; Fleming, George T.
- Carnegie Mellon University
Review of Particle Physics
text, January 2018
- Tanabashi, M.; Hagiwara, K.; Hikasa, K.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
The Quantum Theory of Fields
journal, October 1964
- Park, David
- American Journal of Physics, Vol. 32, Issue 10
Review of Particle Physics
text, January 2012
- Beringer, J.; Arguin, J.; Barnett, R.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Resonance properties from the finite-volume energy spectrum
text, January 2008
- Bernard, Veronique; Lage, Michael; Meißner, Ulf-G.
- arXiv
Helicity operators for mesons in flight on the lattice
text, January 2011
- Thomas, Christopher E.; Edwards, Robert G.; Dudek, Jozef J.
- arXiv
Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
text, January 2015
- Berkowitz, Evan; Kurth, Thorsten; Nicholson, Amy
- arXiv
Clebsch-Gordan Construction of Lattice Interpolating Fields for Excited Baryons
text, January 2005
- Basak, Subhasish; Edwards, Robert; Fleming, George T.
- arXiv
Works referencing / citing this record:
Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD
text, January 2018
- Woss, Antoni; Thomas, Christopher; Dudek, Jj
- Apollo - University of Cambridge Repository
Nucleon- J/ψ and nucleon- ηc scattering in Pc pentaquark channels from lattice QCD
text, January 2019
- Skerbis, U.; Prelovsek, S.
- Universität Regensburg