Improvement of ππ amplitudes and correct position of the σ pole
Meson-meson interaction amplitudes especially ππ scattering amplitudes are often used incorrectly. It also applies to parameters of the σ meson. These causes two significant problems: threshold behavior and position of the σ pole which is suspicious. We modified multichannel S- and P- wave amplitude...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2014-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/20148105022 |
| _version_ | 1818832652630753280 |
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| author | Nazari V. Bydžovský Petr Kamiński Robert |
| author_facet | Nazari V. Bydžovský Petr Kamiński Robert |
| author_sort | Nazari V. |
| collection | DOAJ |
| description | Meson-meson interaction amplitudes especially ππ scattering amplitudes are often used incorrectly. It also applies to parameters of the σ meson. These causes two significant problems: threshold behavior and position of the σ pole which is suspicious. We modified multichannel S- and P- wave amplitudes for the ππ scattering, using dispersion relations with imposed crossing symmetry condition. The amplitudes are modified in the low-energy region to improve their consistency with experimental data and the dispersion relations. Agreement with data is achieved for both amplitudes from the threshold up to 1800 MeV and with dispersion relations up to 1100 MeV. Consequences of the applied modifications, e.g. changes of the S-wave lowest-pole positions, are presented. |
| first_indexed | 2024-12-19T02:06:26Z |
| format | Article |
| id | doaj.art-30ea40979bf04e3a9bfd260993dcaf18 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-19T02:06:26Z |
| publishDate | 2014-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-30ea40979bf04e3a9bfd260993dcaf182022-12-21T20:40:55ZengEDP SciencesEPJ Web of Conferences2100-014X2014-01-01810502210.1051/epjconf/20148105022epjconf_meson2014_05022Improvement of ππ amplitudes and correct position of the σ poleNazari V.0Bydžovský Petr1Kamiński Robert2The Henryk Niewodniczański Institute of Nuclear Physics PANNuclear Physics Institute, ASCRThe Henryk Niewodniczański Institute of Nuclear Physics PANMeson-meson interaction amplitudes especially ππ scattering amplitudes are often used incorrectly. It also applies to parameters of the σ meson. These causes two significant problems: threshold behavior and position of the σ pole which is suspicious. We modified multichannel S- and P- wave amplitudes for the ππ scattering, using dispersion relations with imposed crossing symmetry condition. The amplitudes are modified in the low-energy region to improve their consistency with experimental data and the dispersion relations. Agreement with data is achieved for both amplitudes from the threshold up to 1800 MeV and with dispersion relations up to 1100 MeV. Consequences of the applied modifications, e.g. changes of the S-wave lowest-pole positions, are presented.http://dx.doi.org/10.1051/epjconf/20148105022 |
| spellingShingle | Nazari V. Bydžovský Petr Kamiński Robert Improvement of ππ amplitudes and correct position of the σ pole EPJ Web of Conferences |
| title | Improvement of ππ amplitudes and correct position of the σ pole |
| title_full | Improvement of ππ amplitudes and correct position of the σ pole |
| title_fullStr | Improvement of ππ amplitudes and correct position of the σ pole |
| title_full_unstemmed | Improvement of ππ amplitudes and correct position of the σ pole |
| title_short | Improvement of ππ amplitudes and correct position of the σ pole |
| title_sort | improvement of ππ amplitudes and correct position of the σ pole |
| url | http://dx.doi.org/10.1051/epjconf/20148105022 |
| work_keys_str_mv | AT nazariv improvementofppamplitudesandcorrectpositionofthespole AT bydzovskypetr improvementofppamplitudesandcorrectpositionofthespole AT kaminskirobert improvementofppamplitudesandcorrectpositionofthespole |