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タイトル: Ι = 2ππ scattering phase shift from the HAL QCD method with the LapH smearing
著者: Kawai, Daisuke
Aoki, Sinya
Doi, Takumi
Ikeda, Yoichi
Inoue, Takashi
Iritani, Takumi
Ishii, Noriyoshi
Miyamoto, Takaya
Nemura, Hidekatsu
Sasaki, Kenji
HAL QCD Collaboration
著者名の別形: 青木, 愼也
宮本, 貴也
佐々木, 健志
キーワード: B64 Lattice QCD
D32 Hadron structure and interactions
発行日: 1-Apr-2018
出版者: Oxford University Press (OUP)
誌名: Progress of Theoretical and Experimental Physics
巻: 2018
号: 4
論文番号: 043B04
抄録: Physical observables, such as the scattering phase shifts and binding energy, calculated from the non-local HAL QCD potential do not depend on the sink operators used to define the potential. In practical applications, the derivative expansion of the non-local potential is employed, so that physical observables may receive some scheme dependence at a given order of the expansion. In this paper, we compare the Ι=2ππ scattering phase shifts obtained in the point-sink scheme (the standard scheme in the HAL QCD method) and the smeared-sink scheme (the LapH smearing newly introduced in the HAL QCD method). Although potentials in different schemes have different forms as expected, we find that, for reasonably small smearing size, the resultant scattering phase shifts agree with each other if the next-to-leading-order (NLO) term is taken into account. We also find that the HAL QCD potential in the point-sink scheme has a negligible NLO term for a wide range of energies, which implies good convergence of the derivative expansion, while the potential in the smeared-sink scheme has a non-negligible NLO contribution. The implications of this observation for future studies of resonance channels (such as the Ι=0 and 1ππ scatterings) with smeared all-to-all propagators are briefly discussed.
著作権等: © The Author(s) 2018. 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/2433/230966
DOI(出版社版): 10.1093/ptep/pty032
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