ρ resonance from the I = 1 ππ potential in lattice QCD

ρ resonance from the I = 1 ππ potential in lattice QCD
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晶格 QCD 中 I = 1 ππ 势的 ρ 共振

DOI:
10.1051/epjconf/201817505007
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发表时间:
2018
影响因子:
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通讯作者:
Kawai Daisuke
Kawai Daisuke
中科院分区:
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文献类型:
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作者:
Daisuke Kawai;Sinya Aoki;Takumi Doi;Yoichi Ikeda;Takashi Inoue;Takumi Iritani;Noriyoshi Ishii;Takaya Miyamoto;Hidekatsu Nemura;Kenji Sasaki;Kawai Daisuke

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本文用全对全传播子和LapH涂抹方法计算了mπ= 410 MeV的2+1味格点QCD中I = 1 ππ散射的相移。我们首先研究了在mπ= 870 MeV时,在HAL QCD方法中,I = 2 ππ散射相移与Sink算符无关的情况下,用LapH涂抹方案估计系统.在这个通道中的散射相移之间的传统的点汇计划和涂抹汇计划的差异是合理的小,只要下一个领先的分析是采用涂抹汇计划具有较大的涂抹水平。然后,我们用涂抹阱算符提取了I = 1 ππ势,其散射相移表现出共振行为(ρ共振)。我们还研究了在复能量平面中对应于ρ共振的S矩阵的极点。
We calculate the phase shift for theI= 1 ππ scattering in 2+1 flavor lattice QCD at mπ= 410 MeV, using all-to-all propagators with the LapH smearing. We first investigate the sink operator independence of theI= 2 ππ scattering phase shift to estimate the systematics in the LapH smearing scheme in the HAL QCD method at mπ= 870 MeV. The difference in the scattering phase shift in this channel between the conventional point sink scheme and the smeared sink scheme is reasonably small as long as the next-toleading analysis is employed in the smeared sink scheme with larger smearing levels. We then extract theI= 1 ππ potential with the smeared sink operator, whose scattering phase shift shows a resonant behavior (ρ resonance). We also examine the pole of the S-matrix corresponding to the ρ resonance in the complex energy plane.