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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevD.107.065017.pdf | 5.37 MB | Adobe PDF | 見る/開く |
タイトル: | Unitarity and unstable-particle scattering amplitudes |
著者: | Aoki, Katsuki https://orcid.org/0000-0002-9616-096X (unconfirmed) |
著者名の別形: | 青木, 勝輝 |
キーワード: | Nonperturbative effects in field theory Particle decays Scattering amplitudes Real & complex analysis Particles & Fields |
発行日: | Mar-2023 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review D |
巻: | 107 |
号: | 6 |
論文番号: | 065017 |
抄録: | Unitarity is the fundamental property of the S-matrix, while its usage for a scattering of unstable particles has been subtle as unstable particles do not appear in the asymptotic states. Defining unstable-particle amplitudes as residues of a higher-point amplitude at an appropriate complex pole, we find unitarity equations for the 2-to-2 unstable-particle amplitudes from unitarity and analyticity of stable-particle scattering amplitudes. The unstable-particle unitarity equations take a form analogous to those of the stable-particle amplitudes when the in and out states are chosen to be complex-conjugate positions. In particular, as in the optical theorem, we find a positivity constraint on a discontinuity of the amplitudes in a positive region of the momentum transfer variable. |
著作権等: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. |
URI: | http://hdl.handle.net/2433/284396 |
DOI(出版社版): | 10.1103/PhysRevD.107.065017 |
出現コレクション: | 学術雑誌掲載論文等 |
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