Multichannel 0→2 and 1→2 transition amplitudes for arbitrary spin particles in a finite volume

Hansen, Maxwell; Briceno, Raul

doi:10.1103/PhysRevD.92.074509

Title: Multichannel $0 \to 2$ and $1 \to 2$ transition amplitudes for arbitrary spin particles in a finite volume

Journal Article · Thu Oct 01 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.074509· OSTI ID:1222198

Hansen, Maxwell ^[1]; Briceno, Raul ^[2]

Univ. of Washington, Seattle, WA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We present a model-independent, non-perturbative relation between finite-volume matrix elements and infinite-volume $$\textbf{0}\rightarrow\textbf{2}$$ and $$\textbf{1}\rightarrow\textbf{2}$$ transition amplitudes. Our result accommodates theories in which the final two-particle state is coupled to any number of other two-body channels, with all angular momentum states included. The derivation uses generic, fully relativistic field theory, and is exact up to exponentially suppressed corrections in the lightest particle mass times the box size. This work distinguishes itself from previous studies by accommodating particles with any intrinsic spin. To illustrate the utility of our general result, we discuss how it can be implemented for studies of $$N+\mathcal{J}~\rightarrow~(N\pi,N\eta,N\eta',\Sigma K,\Lambda K)$$ transitions, where $$\mathcal{J}$$ is a generic external current. The reduction of rotational symmetry, due to the cubic finite volume, manifests in this example through the mixing of S- and P-waves when the system has nonzero total momentum.

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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

OSTI ID:: 1222198

Alternate ID(s):: OSTI ID: 1224363

Report Number(s):: JLAB-THY-15-2009; DOE/OR/23177-3291; arXiv:1502.04314; PRVDAQ; TRN: US1600886

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 7; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 78 works

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