Connecting Matrix Elements to Multi-Hadron Form-Factors

Journal Article · 16 May 2022 · PoS - Proceedings of Science

DOI: https://doi.org/10.22323/1.396.0108 · OSTI ID:1880048

Jackura, Andrew W. ^[1]

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1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)

We discuss developments in calculating multi-hadron form-factors and transition processes via lattice QCD. Our primary tools are finite-volume scaling relations, which map spectra and matrix elements to the corresponding multi-hadron infinite-volume amplitudes. We focus on two hadron processes probed by an external current, and provide various checks on the finite-volume formalism in the limiting cases of perturbative interactions and systems forming a bound state. By studying model-independent properties of the infinite-volume amplitudes, we are able to rigorously define form-factors of resonances.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: AC05-06OR23177; SC0019229
• OSTI ID: 1880048
• Report Number(s): JLAB-THY-21-3522; DOE/OR/23177-5349; arXiv:2111.01098; TRN: US2307703
• Journal Information: PoS - Proceedings of Science, Vol. 396; Conference: Proceedings of The 38. International Symposium on Lattice Field Theory (LATTICE2021), Cambridge (Held Virtually), MA (United States), 26-30 Jul 2021; ISSN 1824-8039
• Publisher: SISSACopyright Statement
• Country of Publication: United States
• Language: English