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タイトル: | Hermitizing the HAL QCD potential in the derivative expansion |
著者: | Aoki, Sinya Iritani, Takumi Yazaki, Koichi |
著者名の別形: | 青木, 愼也 入谷, 匠 矢崎, 紘一 |
発行日: | Feb-2020 |
出版者: | Oxford University Press (OUP) |
誌名: | Progress of Theoretical and Experimental Physics |
巻: | 2020 |
号: | 2 |
論文番号: | 023B03 |
抄録: | A formalism is given to hermitize the HAL QCD potential, which needs to be non-Hermitian except for the leading-order (LO) local term in the derivative expansion as the Nambu– Bethe– Salpeter (NBS) wave functions for different energies are not orthogonal to each other. It is shown that the non-Hermitian potential can be hermitized order by order to all orders in the derivative expansion. In particular, the next-to-leading order (NLO) potential can be exactly hermitized without approximation. The formalism is then applied to a simple case of ΞΞ(1S0) scattering, for which the HAL QCD calculation is available to the NLO. The NLO term gives relatively small corrections to the scattering phase shift and the LO analysis seems justified in this case. We also observe that the local part of the hermitized NLO potential works better than that of the non-Hermitian NLO potential. The Hermitian version of the HAL QCD potential is desirable for comparing it with phenomenological interactions and also for using it as a two-body interaction in many-body systems. |
著作権等: | © The Author(s) 2020. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.Funded by SCOAP3 |
URI: | http://hdl.handle.net/2433/254057 |
DOI(出版社版): | 10.1093/ptep/ptz166 |
出現コレクション: | 学術雑誌掲載論文等 |
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