Lattice operators for scattering of particles with spin [electronic resource]
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 <i>P N, P V, V N</i> and <i>N N</i> scattering, where <i>P, V</i> and <i>N</i> denote pseudoscala...
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| Online Access: |
Online Access (via OSTI) |
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| Corporate Author: | |
| Format: | Government Document Electronic eBook |
| Language: | English |
| Published: |
Washington, D.C. : Oak Ridge, Tenn. :
United States. Department of Energy. Office of Nuclear Physics ; distributed by the Office of Scientific and Technical Information, U.S. Department of Energy,
2017.
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| Subjects: |
| Summary: | 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 <i>P N, P V, V N</i> and <i>N N</i> scattering, where <i>P, V</i> and <i>N</i> 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. Lattice Qcd; Lattice Quantum Field Theory. |
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| Item Description: | Published through SciTech Connect. 01/30/2017. "jlab-thy--16-2282" " doe/or/23177--3871" ": 5429" Journal of High Energy Physics (Online) 2017 1 ISSN 1029-8479 AM. S. Prelovsek; U. Skerbis; C. B. Lang. |
| Physical Description: | 28 p. : digital, PDF file. |