Differential technique for the covariant orbital angular momentum operators

Abstract

The orbital angular momentum operator expansion turns to be a powerful tool to construct the fully covariant partial wave amplitudes of hadron decay reactions and hadron photo- and electroproduction processes. In this paper we consider a useful development of the orbital angular momentum operator expansion method. We present the differential technique allowing the direct calculation of convolutions of two orbital angular momentum operators with an arbitrary number of open Lorentz indices. This differential technique greatly simplifies calculations when the reaction subject to the partial wave analysis involves high spin particles in the initial and/or final states. We also present a useful generalization of the orbital angular momentum operators.

14 pages

References in corpus (13)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Chiral Dynamics of the Two Λ(1405) States
• Observation of a charged charmoniumlike structure Z_c(4020) and search for the Z_c(3900) in e+e- to pi+pi-h_c
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Partial wave decomposition of pion and photoproduction amplitudes
• Quantum numbers of the $X(3872)$ state and orbital angular momentum in its ${\rho }^{0}J\psi$ decay
• Partial decay widths of baryons in the spin-momentum operator expansion method
• Moment-operator expansion for the two-meson, two-photon and fermion-antifermion states
• Experimental Review on Pentaquarks
• Bootstrap and the physical values of $\pi N$ resonance parameters
• New Narrow $N(1685)$ and $N(1726)$? Remarks on the Interpretation of the Neutron Anomaly as an Interference Phenomenon
• Vertex operators for production of baryon resonances in nucleon-gamma collisions with preserving gauge invariance and analyticity