ρ resonance from the I = 1 ππ potential in lattice QCD
We calculate the phase shift for the I = 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 the I = 2 ππ scattering phase shift to estimate the systematics in the LapH smearing scheme...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201817505007 |
| _version_ | 1818911839470223360 |
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| author | Kawai Daisuke |
| author_facet | Kawai Daisuke |
| author_sort | Kawai Daisuke |
| collection | DOAJ |
| description | We calculate the phase shift for the I = 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 the I = 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 the I = 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. |
| first_indexed | 2024-12-19T23:05:05Z |
| format | Article |
| id | doaj.art-855447d204694884900def98fb64584f |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-19T23:05:05Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-855447d204694884900def98fb64584f2022-12-21T20:02:24ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011750500710.1051/epjconf/201817505007epjconf_lattice2018_05007ρ resonance from the I = 1 ππ potential in lattice QCDKawai DaisukeWe calculate the phase shift for the I = 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 the I = 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 the I = 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.https://doi.org/10.1051/epjconf/201817505007 |
| spellingShingle | Kawai Daisuke ρ resonance from the I = 1 ππ potential in lattice QCD EPJ Web of Conferences |
| title | ρ resonance from the I = 1 ππ potential in lattice QCD |
| title_full | ρ resonance from the I = 1 ππ potential in lattice QCD |
| title_fullStr | ρ resonance from the I = 1 ππ potential in lattice QCD |
| title_full_unstemmed | ρ resonance from the I = 1 ππ potential in lattice QCD |
| title_short | ρ resonance from the I = 1 ππ potential in lattice QCD |
| title_sort | ρ resonance from the i 1 ππ potential in lattice qcd |
| url | https://doi.org/10.1051/epjconf/201817505007 |
| work_keys_str_mv | AT kawaidaisuke rresonancefromthei1pppotentialinlatticeqcd |