Joint description of the e{sup +}e{sup -} annihilation into both four-pion channels

Juran, Josef; Lichard, Peter

doi:10.1103/PHYSREVD.78.017501

Title: Joint description of the e{sup +}e{sup -} annihilation into both four-pion channels

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Abstract

The e{sup +}e{sup -}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup 0}{pi}{sup 0} reaction cross section as a function of the incident energy is calculated using a model that is an extension of our recently published model of the e{sup +}e{sup -} annihilation into four charged pions. The latter considered the intermediate states with the {pi}, {rho}, and a{sub 1} mesons and fixed the mixing angle of the a{sub 1}{rho}{pi} Lagrangian and other parameters by fitting the cross section data. Here we supplement the original intermediate states with those containing {omega}(782) and h{sub 1}(1170), but keep unchanged the values of those parameters that enter both charged and mixed channel calculations. The inclusion of {omega} is vital for obtaining a good fit to the cross section data, while the intermediate states with h{sub 1} further improve it. Finally, we merge our models of the e{sup +}e{sup -}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup 0}{pi}{sup 0} and e{sup +}e{sup -}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup +}{pi}{sup -} reactions and obtain a simultaneous good fit.

Authors:

Juran, Josef ^[1]; Lichard, Peter ^[1]

Institute of Physics, Silesian University in Opava, Bezrucovo namesti 13, 746 01 Opava (Czech Republic)

Publication Date:: Tue Jul 01 00:00:00 EDT 2008

OSTI Identifier:: 21250288

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 78; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.78.017501; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANNIHILATION; CHARGED-PARTICLE REACTIONS; COMPUTERIZED SIMULATION; CROSS SECTIONS; H1-1170 MESONS; INTERMEDIATE STATE; LAGRANGIAN FUNCTION; OMEGA-782 MESONS; PARTICLE DECAY; PIONS MINUS; PIONS NEUTRAL; PIONS PLUS; WEINBERG ANGLE

Citation Formats


                    Juran, Josef, Lichard, Peter, and Institute of Experimental and Applied Physics, Czech Technical University, Horska 3/a, 120 00 Prague. Joint description of the e{sup +}e{sup -} annihilation into both four-pion channels.  United States: N. p., 2008. 
        Web.  doi:10.1103/PHYSREVD.78.017501.

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                    Juran, Josef, Lichard, Peter, & Institute of Experimental and Applied Physics, Czech Technical University, Horska 3/a, 120 00 Prague. Joint description of the e{sup +}e{sup -} annihilation into both four-pion channels.  United States.  https://doi.org/10.1103/PHYSREVD.78.017501

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                    Juran, Josef, Lichard, Peter, and Institute of Experimental and Applied Physics, Czech Technical University, Horska 3/a, 120 00 Prague. 2008.  
        "Joint description of the e{sup +}e{sup -} annihilation into both four-pion channels".  United States.  https://doi.org/10.1103/PHYSREVD.78.017501.

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@article{osti_21250288,

  title        = {Joint description of the e{sup +}e{sup -} annihilation into both four-pion channels},

  author       = {Juran, Josef and Lichard, Peter and Institute of Experimental and Applied Physics, Czech Technical University, Horska 3/a, 120 00 Prague},

  abstractNote = {The e{sup +}e{sup -}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup 0}{pi}{sup 0} reaction cross section as a function of the incident energy is calculated using a model that is an extension of our recently published model of the e{sup +}e{sup -} annihilation into four charged pions. The latter considered the intermediate states with the {pi}, {rho}, and a{sub 1} mesons and fixed the mixing angle of the a{sub 1}{rho}{pi} Lagrangian and other parameters by fitting the cross section data. Here we supplement the original intermediate states with those containing {omega}(782) and h{sub 1}(1170), but keep unchanged the values of those parameters that enter both charged and mixed channel calculations. The inclusion of {omega} is vital for obtaining a good fit to the cross section data, while the intermediate states with h{sub 1} further improve it. Finally, we merge our models of the e{sup +}e{sup -}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup 0}{pi}{sup 0} and e{sup +}e{sup -}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup +}{pi}{sup -} reactions and obtain a simultaneous good fit.},

  doi          = {10.1103/PHYSREVD.78.017501},

  url          = {https://www.osti.gov/biblio/21250288},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 1,

  volume       = 78,

  place        = {United States},

  year         = {Tue Jul 01 00:00:00 EDT 2008},

  month        = {Tue Jul 01 00:00:00 EDT 2008}

}

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