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

Abstract

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.

Authors:
 [1];  [2]
  1. Univ. of Washington, Seattle, WA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1222198
Alternate Identifier(s):
OSTI ID: 1224363
Report Number(s):
JLAB-THY-15-2009; DOE/OR/23177-3291; arXiv:1502.04314
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1600886
Grant/Contract Number:  
AC05-06OR23177
Resource 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 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Hansen, Maxwell, and Briceno, Raul. Multichannel 0→2 and 1→2 transition amplitudes for arbitrary spin particles in a finite volume. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.92.074509.
Hansen, Maxwell, & Briceno, Raul. Multichannel 0→2 and 1→2 transition amplitudes for arbitrary spin particles in a finite volume. United States. doi:10.1103/PhysRevD.92.074509.
Hansen, Maxwell, and Briceno, Raul. Thu . "Multichannel 0→2 and 1→2 transition amplitudes for arbitrary spin particles in a finite volume". United States. doi:10.1103/PhysRevD.92.074509. https://www.osti.gov/servlets/purl/1222198.
@article{osti_1222198,
title = {Multichannel 0→2 and 1→2 transition amplitudes for arbitrary spin particles in a finite volume},
author = {Hansen, Maxwell and Briceno, Raul},
abstractNote = {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.},
doi = {10.1103/PhysRevD.92.074509},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 7,
volume = 92,
place = {United States},
year = {2015},
month = {10}
}

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Cited by: 24 works
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