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, Newport News, VA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 OSTI Identifier:
 1349637
 Report Number(s):
 JLABTHY162282; DOE/OR/231773871
Journal ID: ISSN 10298479; PII: 5429; TRN: US1700921
 Grant/Contract Number:
 AC0506OR23177
 Resource Type:
 Journal Article: 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 10298479
 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. doi:10.1007/JHEP01(2017)129.
Prelovsek, S., Skerbis, U., and Lang, C. B. Mon .
"Lattice operators for scattering of particles with spin". United States.
doi: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}
}
Web of Science

THE USE OF PROJECTION OPERATORS TO OBTAIN THE MATRIX ELEMENTS FOR PARTICLES OF SPIN 1/2 (in Italian)
For the purpose of writing down formulas for relativistic immediate computation of matrix elements between free states for a particle of spin 1/2, use of projection operators is made. Expressions are obtained allowing computation of matrix elements of any operator up to a phase. (auth)