Ruiz de Elvira Carrascal, Jacobo; Ruiz Arriola, Enrique (2018). Coarse graining ππ scattering. The European physical journal. C, Particles and fields, 78(11) Springer 10.1140/epjc/s10052-018-6342-7
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1807.10837.pdf - Accepted Version Available under License Creative Commons: Attribution (CC-BY). Download (1MB) | Preview |
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RuizDeElvira-RuizArriola2018_Article_CoarseGrainingPiPiΠπScattering.pdf - Published Version Available under License Creative Commons: Attribution (CC-BY). Download (1MB) | Preview |
We carry out an analysis of ππ scattering in the I J = 00, 11 and 20 channels in configuration space up to a maximal center-of-mass energy √s = 1.4 GeV. We sepa- rate the interaction into two regions marked by an elemen- tarity radius of the system; namely, a long distance region above which pions can be assumed to interact as elemen- tary particles and a short distance region where many phys- ical effects cannot be disentangled. The long distance inter- action is described by chiral dynamics, where a two-pion- exchange potential is identified, computed and compared to lattice calculations. The short distance piece corresponds to a coarse grained description exemplified by a superposition of delta-shell potentials sampling the interaction with the minimal wavelength. We show how the so constructed non- perturbative scattering amplitude complies with the proper analytic structure, allowing for an explicit N/D type decom- position in terms of the corresponding Jost functions and fulfilling dispersion relations without subtractions. We also address renormalization issues in coordinate space and inves- tigate the role of crossing when fitting the scattering ampli- tudes above and below threshold to Roy-equation results. At higher energies, we show how inelasticities can be described by one single complex and energy dependent parameter. A successful description of the data can be achieved with a minimal number of fitting parameters, suggesting that coarse graining is a viable approach to analyze hadronic processes.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Institute of Theoretical Physics |
UniBE Contributor: |
Ruiz de Elvira Carrascal, Jacobo |
Subjects: |
500 Science > 530 Physics |
ISSN: |
1434-6044 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
28 Dec 2018 14:50 |
Last Modified: |
05 Dec 2022 15:21 |
Publisher DOI: |
10.1140/epjc/s10052-018-6342-7 |
ArXiv ID: |
1807.10837 |
BORIS DOI: |
10.7892/boris.122160 |
URI: |
https://boris.unibe.ch/id/eprint/122160 |
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