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PreprintarXiv licencearXiv

Spin density matrix for high-spin particles

  • Shaogang Peng
  • Xin Chen
  • Yuxuan Zhang
  • Qi Cai
  • Naiwen Xing
  • Yue Xuy
Open at sourcePDFDOICite

Abstract

The spin density matrix (SDM) characterizes the spin state of a particle, which provides important information for understanding its production mechanism. A general discussion of the SDM under parity conservation, and specific SDM parameterizations for spin-1 and spin-2 particles are provided, which respect all the expected constraints. The imaginary (real) part of SDM is related to the degree of odd-rank (even-rank) polarization, with specific expressions given for spin-1 and spin-2 cases. Examples of applications of the SDM to angular analyses of several decay processes with different spin-parity hypotheses are also provided, which could be helpful in experimental data analyses.

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Cite

BibTeXRIS
BibTeX
@misc{peng2026spin,
  title = {{Spin density matrix for high-spin particles}},
  author = {Shaogang Peng and Xin Chen and Yuxuan Zhang and Qi Cai and Naiwen Xing and Yue Xuy},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00582},
  eprint = {2609.00582},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00582},
}
RIS
TY  - UNPB
TI  - Spin density matrix for high-spin particles
AU  - Shaogang Peng
AU  - Xin Chen
AU  - Yuxuan Zhang
AU  - Qi Cai
AU  - Naiwen Xing
AU  - Yue Xuy
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00582
UR  - https://arxiv.org/abs/2609.00582
AB  - The spin density matrix (SDM) characterizes the spin state of a particle, which provides important information for understanding its production mechanism. A general discussion of the SDM under parity conservation, and specific SDM parameterizations for spin-1 and spin-2 particles are provided, which respect all the expected constraints. The imaginary (real) part of SDM is related to the degree of odd-rank (even-rank) polarization, with specific expressions given for spin-1 and spin-2 cases. Examples of applications of the SDM to angular analyses of several decay processes with different spin-parity hypotheses are also provided, which could be helpful in experimental data analyses.
ER  -