PreprintarXiv licencearXiv
A General Manifestly Covariant Construction of Partial-Wave Amplitudes in the Rarita-Schwinger Formalism
Abstract
We propose a new set of functions, named Relative Spin Wave Functions (RSWFs), defined via covariant pure boosts to a common rest frame. RSWFs separate spin transport from orbital-spin coupling while preserving the conventional partial-wave angular structure in a manifestly covariant form. Within the Rarita-Schwinger formalism, this approach generates explicit, covariant on-shell partial-wave amplitudes for two-body decays of massive particles of arbitrary spin, with definite orbital angular momentum and total final-state spin. This general framework provides a foundational Lorentz basis for hadronic reaction studies and LS-organized operators in theoretical investigations, such as Lattice QCD and QCD sum rules.
Related
- Covariant Wigner function and spin polarization of the Rarita-Schwinger field
- Cosmological Vacuum Decays from Schwinger-Keldysh Formalism
- Conserved charges and the first law of black holes for field dependent symmetry generators in the covariant phase space formalism
- Heavy-Particle Effective Theory: from On-Shell Formalism to Gravitational Compton Amplitudes
- Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order g6
BibTeX
@misc{jing2026general,
title = {{A General Manifestly Covariant Construction of Partial-Wave Amplitudes in the Rarita-Schwinger Formalism}},
author = {Hao-Jie Jing and Shu-Ming Wu and Jia-Jun Wu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01824},
eprint = {2611.01824},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01824},
}
RIS
TY - UNPB
TI - A General Manifestly Covariant Construction of Partial-Wave Amplitudes in the Rarita-Schwinger Formalism
AU - Hao-Jie Jing
AU - Shu-Ming Wu
AU - Jia-Jun Wu
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01824
UR - https://arxiv.org/abs/2611.01824
AB - We propose a new set of functions, named Relative Spin Wave Functions (RSWFs), defined via covariant pure boosts to a common rest frame. RSWFs separate spin transport from orbital-spin coupling while preserving the conventional partial-wave angular structure in a manifestly covariant form. Within the Rarita-Schwinger formalism, this approach generates explicit, covariant on-shell partial-wave amplitudes for two-body decays of massive particles of arbitrary spin, with definite orbital angular momentum and total final-state spin. This general framework provides a foundational Lorentz basis for hadronic reaction studies and LS-organized operators in theoretical investigations, such as Lattice QCD and QCD sum rules.
ER -