Multichannel $0\to 2$ and $1\to 2$ transition amplitudes for arbitrary spin particles in a finite volume
We present a modelindependent, nonperturbative relation between finitevolume matrix elements and infinitevolume $$\textbf{0}\rightarrow\textbf{2}$$ and $$\textbf{1}\rightarrow\textbf{2}$$ transition amplitudes. Our result accommodates theories in which the final twoparticle state is coupled to any number of other twobody 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 Pwaves when the system has nonzero total momentum.
 Authors:

^{[1]};
^{[2]}
 Univ. of Washington, Seattle, WA (United States)
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Publication Date:
 OSTI Identifier:
 1222198
 Report Number(s):
 JLABTHY152009; DOE/OR/231773291; arXiv:1502.04314
Journal ID: ISSN 15507998; PRVDAQ; TRN: US1600886
 Grant/Contract Number:
 AC0506OR23177
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. D, Particles, Fields, Gravitation and Cosmology
 Additional Journal Information:
 Journal Volume: 92; Journal Issue: 7; Journal ID: ISSN 15507998
 Publisher:
 American Physical Society (APS)
 Research Org:
 Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS