Khuri–Treiman equations for $$\pi \pi $$ ππ scattering
Abstract The Khuri–Treiman formalism models the partial-wave expansion of a scattering amplitude as a sum of three individual truncated series, capturing the low-energy dynamics of the direct and cross channels. We cast this formalism into dispersive equations to study $$\pi \pi $$ ππ scattering, an...
| Main Authors: | , , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6045-0 |
| _version_ | 1819071039524569088 |
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| author | M. Albaladejo N. Sherrill C. Fernández-Ramírez A. Jackura V. Mathieu M. Mikhasenko J. Nys A. Pilloni A. P. Szczepaniak Joint Physics Analysis Center |
| author_facet | M. Albaladejo N. Sherrill C. Fernández-Ramírez A. Jackura V. Mathieu M. Mikhasenko J. Nys A. Pilloni A. P. Szczepaniak Joint Physics Analysis Center |
| author_sort | M. Albaladejo |
| collection | DOAJ |
| description | Abstract The Khuri–Treiman formalism models the partial-wave expansion of a scattering amplitude as a sum of three individual truncated series, capturing the low-energy dynamics of the direct and cross channels. We cast this formalism into dispersive equations to study $$\pi \pi $$ ππ scattering, and compare their expressions and numerical output to the Roy and GKPY equations. We prove that the Khuri–Treiman equations and Roy equations coincide when both are truncated to include only S- and P-waves. When higher partial waves are included, we find an excellent agreement between the Khuri–Treiman and the GKPY results. This lends credence to the notion that the Khuri–Treiman formalism is a reliable low-energy tool for studying hadronic reaction amplitudes. |
| first_indexed | 2024-12-21T17:15:30Z |
| format | Article |
| id | doaj.art-341f7e5d5de6459487581077ef02e0e2 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T17:15:30Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-341f7e5d5de6459487581077ef02e0e22022-12-21T18:56:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-07-0178711410.1140/epjc/s10052-018-6045-0Khuri–Treiman equations for $$\pi \pi $$ ππ scatteringM. Albaladejo0N. Sherrill1C. Fernández-Ramírez2A. Jackura3V. Mathieu4M. Mikhasenko5J. Nys6A. Pilloni7A. P. Szczepaniak8Joint Physics Analysis CenterDepartamento de Física, Universidad de MurciaCenter for Exploration of Energy and Matter, Indiana UniversityInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de MéxicoCenter for Exploration of Energy and Matter, Indiana UniversityTheory Center, Thomas Jefferson National Accelerator FacilityHelmholtz-Institut für Strahlen- und Kernphysik, Universität BonnCenter for Exploration of Energy and Matter, Indiana UniversityTheory Center, Thomas Jefferson National Accelerator FacilityCenter for Exploration of Energy and Matter, Indiana UniversityAbstract The Khuri–Treiman formalism models the partial-wave expansion of a scattering amplitude as a sum of three individual truncated series, capturing the low-energy dynamics of the direct and cross channels. We cast this formalism into dispersive equations to study $$\pi \pi $$ ππ scattering, and compare their expressions and numerical output to the Roy and GKPY equations. We prove that the Khuri–Treiman equations and Roy equations coincide when both are truncated to include only S- and P-waves. When higher partial waves are included, we find an excellent agreement between the Khuri–Treiman and the GKPY results. This lends credence to the notion that the Khuri–Treiman formalism is a reliable low-energy tool for studying hadronic reaction amplitudes.http://link.springer.com/article/10.1140/epjc/s10052-018-6045-0 |
| spellingShingle | M. Albaladejo N. Sherrill C. Fernández-Ramírez A. Jackura V. Mathieu M. Mikhasenko J. Nys A. Pilloni A. P. Szczepaniak Joint Physics Analysis Center Khuri–Treiman equations for $$\pi \pi $$ ππ scattering European Physical Journal C: Particles and Fields |
| title | Khuri–Treiman equations for $$\pi \pi $$ ππ scattering |
| title_full | Khuri–Treiman equations for $$\pi \pi $$ ππ scattering |
| title_fullStr | Khuri–Treiman equations for $$\pi \pi $$ ππ scattering |
| title_full_unstemmed | Khuri–Treiman equations for $$\pi \pi $$ ππ scattering |
| title_short | Khuri–Treiman equations for $$\pi \pi $$ ππ scattering |
| title_sort | khuri treiman equations for pi pi ππ scattering |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6045-0 |
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