Moving multichannel systems in a finite volume with application to proton-proton fusion

2012/04/30 by Raúl A. Briceño, Raul A. Briceno, Zohreh Davoudi · 4 citations
Mathematics · Physics and Astronomy · #Amplitude #Boundary value problem #Electroweak interaction #Finite volume method #Fusion #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Periodic boundary conditions #Physics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum field theory #Quantum mechanics #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.88.094507

published as Phys. Rev. D 88, 094507 (2013) · 20 pages, 3 figures

openalex publication_date 2013/11/18 · arxiv created 2013/11/19 · arxiv updated 2013/11/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The spectrum of a system with multiple channels composed of two hadrons with nonzero total momentum is determined in a finite cubic volume with periodic boundary conditions using effective field theory methods. The results presented are accurate up to exponentially suppressed corrections in the volume due to the finite range of hadronic interactions. The formalism allows one to determine the phase shifts and mixing parameters of \ensuremathπ\ensuremathπ\ensuremath-KK isosinglet coupled channels directly from lattice quantum chromodynamics. We show that the extension to more than two channels is straightforward and present the result for three channels. From the energy quantization condition, the volume dependence of electroweak matrix elements of two-hadron processes is extracted. In the nonrelativistic case, we pay close attention to processes that mix the ¹S₀\ensuremath-³S₁ two-nucleon states, e.g. proton-proton fusion (pp\ensuremath→d+e⁺+\ensuremathν_e), and show how to determine the transition amplitude of such processes directly from lattice QCD.

Citations

• Chiral unitary theory of scalar mesons in a finite volume
• KD,ηDsinteraction in finite volume and theDs*0(2317)resonance
• Chiral symmetry amplitudes in the S-wave isoscalar and isovector channels and the σ, f0(980), a0(980) scalar mesons
• Two nucleons on a lattice
• Finite-volume effects for two-hadron states in moving frames
• Nonperturbative Approach to Effective Chiral Lagrangians and Meson Interactions
• A method to measure the antikaon–nucleon scattering length in lattice QCD
• Neutrino-deuteron scattering in effective field theory at next-to-next-to-leading order
• Scattering of unstable particles in a finite volume: The case ofπρscattering and thea1(1260)resonance
• Electroweak matrix elements in the two-nucleon sector from lattice QCD
• Structure of

Cited by

• Resonant scattering in two-flavored Sp(4) lattice gauge theories
• Low-energy scattering and effective interactions of two baryons at mπ∼450 MeV from lattice quantum chromodynamics
• Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles
• Searching for the rules that govern hadron construction
• On the effect of excited states in lattice calculations of the nucleon axial charge

Related

• Multichannel one-to-two transition amplitudes in a finite volume
• Two-particle multichannel systems in a finite volume with arbitrary spin
• Multi-hadron interactions from lattice QCD
• Coupled-channel approach to isotensor πππ scattering from lattice QCD
• Two-nucleon scattering in multiple partial waves