Comprehensive amplitude analysis of and below 1.5 GeV
Abstract
In this paper we perform an amplitude analysis of essentially all published pion and kaon pair production data from two photon collisions below 1.5 GeV. This includes all the high statistics results from Belle, as well as older data from Mark II at SLAC, CELLO at DESY, Crystal Ball at SLAC. The purpose of this analysis is to provide as close to a model-independent determination of the γγ to meson pair amplitudes as possible. Having data with limited angular coverage, typically |cosθ| < 0.6-0.8, and no polarization information for reactions in which spin is an essential complication, the determination of the underlying amplitudes might appear an intractable problem. However, imposing the basic constraints required by analyticity, unitarity, and crossing-symmetry makes up for the experimentally missing information. Above 1.5 GeV multi-meson production channels become important and we have too little information to resolve the amplitudes. Nevertheless, below 1.5 GeV the two photon production of hadron pairs serves as a paradigm for the application of S-matrix techniques. Final state interactions among the meson pairs is critical to this analysis. To fix these, we include the latest ππ → ππ, K⁻K scattering amplitudes given by dispersive analyses, supplemented in the K⁻K threshold regionmore »
- Authors:
-
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1156888
- Report Number(s):
- JLAB-THY-14-1842; DOE/OR/23177-3003; arXiv:1404.7524
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1600832
- Grant/Contract Number:
- AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 90; Journal Issue: 3; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Dai, Ling-Yun, and Pennington, Michael R. Comprehensive amplitude analysis of γγ→π+π-,π0π0 and K¯K below 1.5 GeV. United States: N. p., 2014.
Web. doi:10.1103/PhysRevD.90.036004.
Dai, Ling-Yun, & Pennington, Michael R. Comprehensive amplitude analysis of γγ→π+π-,π0π0 and K¯K below 1.5 GeV. United States. https://doi.org/10.1103/PhysRevD.90.036004
Dai, Ling-Yun, and Pennington, Michael R. Fri .
"Comprehensive amplitude analysis of γγ→π+π-,π0π0 and K¯K below 1.5 GeV". United States. https://doi.org/10.1103/PhysRevD.90.036004. https://www.osti.gov/servlets/purl/1156888.
@article{osti_1156888,
title = {Comprehensive amplitude analysis of γγ→π+π-,π0π0 and K¯K below 1.5 GeV},
author = {Dai, Ling-Yun and Pennington, Michael R.},
abstractNote = {In this paper we perform an amplitude analysis of essentially all published pion and kaon pair production data from two photon collisions below 1.5 GeV. This includes all the high statistics results from Belle, as well as older data from Mark II at SLAC, CELLO at DESY, Crystal Ball at SLAC. The purpose of this analysis is to provide as close to a model-independent determination of the γγ to meson pair amplitudes as possible. Having data with limited angular coverage, typically |cosθ| < 0.6-0.8, and no polarization information for reactions in which spin is an essential complication, the determination of the underlying amplitudes might appear an intractable problem. However, imposing the basic constraints required by analyticity, unitarity, and crossing-symmetry makes up for the experimentally missing information. Above 1.5 GeV multi-meson production channels become important and we have too little information to resolve the amplitudes. Nevertheless, below 1.5 GeV the two photon production of hadron pairs serves as a paradigm for the application of S-matrix techniques. Final state interactions among the meson pairs is critical to this analysis. To fix these, we include the latest ππ → ππ, K⁻K scattering amplitudes given by dispersive analyses, supplemented in the K⁻K threshold region by the recent precision Dalitz plot analysis from BaBar. With these hadronic amplitudes built into unitarity, we can constrain the overall description of γγ → ππ and K⁻K datasets, both integrated and differential cross-sections, including the high statistics charged and neutral pion data from Belle. A region of solutions is found for the γγ → ππ partial waves with both isospin 0 and 2. Since this analysis invokes coupled hadronic channels, even the relatively poor integrated cross-section data on γγ → K⁻K narrows the patch of solutions to essentially a single form. For this we present the complete partial wave amplitudes, show how well they fit all the available data, and give the two photon couplings of scalar and tensor resonances that appear.},
doi = {10.1103/PhysRevD.90.036004},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 3,
volume = 90,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2014},
month = {Fri Aug 15 00:00:00 EDT 2014}
}
Web of Science
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Nature of the : A light-quark perspective
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Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
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Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
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Light-by-light scattering sum rules in light of new data
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Dispersion relation for hadronic light-by-light scattering: two-pion contributions
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- arXiv