Journal of High Energy Physics

, 2017:129 | Cite as

Lattice operators for scattering of particles with spin

  • S. PrelovsekEmail author
  • U. Skerbis
  • C. B. Lang
Open Access
Regular Article - Theoretical Physics


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. The total momentum of two hadrons is restricted to zero since parity is a good quantum number in this case.


Lattice QCD Lattice Quantum Field Theory 


Open Access

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Faculty of Mathematics and PhysicsUniversity of LjubljanaLjubljanaSlovenia
  2. 2.Jozef Stefan InstituteLjubljanaSlovenia
  3. 3.Theory Center, Jefferson LabNewport NewsU.S.A.
  4. 4.Institute of PhysicsUniversity of GrazGrazAustria

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