Baryon wave functions and cross sections for photon annihilation to baryon pairs

G. R. Farrar; H. Zhang; A. A. Ogloblin; I. R. Zhitnitsky

doi:10.1016/0550-3213(89)90169-7

Baryon wave functions and cross sections for photon annihilation to baryon pairs

G. R. Farrar, H. Zhang, A. A. Ogloblin, I. R. Zhitnitsky

Research output: Contribution to journal › Article › peer-review

Abstract

The first few moments of the wave functions for Δ's and Ω are evaluated by QCD sum rules. Model wave functions are constructed based on these moments. Perturbative QCD predictions of cross sections for γγ → Δ⁺⁺Δ⁺⁺ and γγ → ΩΩ are obtained by integrating the quark scattering amplitudes over these wave functions. The ratio of γγ → Δ⁺⁺Δ⁺⁺ and γγ → p p ̄ cross sections is much lower than would be naively expected. Predictions for γγ → B₈B₈ are also given for the full baryon octet with QCD sum-rule wave functions.

Original language	English (US)
Pages (from-to)	585-612
Number of pages	28
Journal	Nuclear Physics, Section B
Volume	311
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(89)90169-7
State	Published - Jan 2 1989

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(89)90169-7

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title = "Baryon wave functions and cross sections for photon annihilation to baryon pairs",

abstract = "The first few moments of the wave functions for Δ's and Ω are evaluated by QCD sum rules. Model wave functions are constructed based on these moments. Perturbative QCD predictions of cross sections for γγ → Δ++Δ++ and γγ → ΩΩ are obtained by integrating the quark scattering amplitudes over these wave functions. The ratio of γγ → Δ++Δ++ and γγ → p p{\= } cross sections is much lower than would be naively expected. Predictions for γγ → B8B8 are also given for the full baryon octet with QCD sum-rule wave functions.",

author = "Farrar, {G. R.} and H. Zhang and Ogloblin, {A. A.} and Zhitnitsky, {I. R.}",

note = "Funding Information: Two ingredients are needed to obtain a quantitative prediction for the amplitude of an exclusive process: the hard kernel of the reaction, calculable from QCD perturbation theory, and the nonperturbative wave functions of the hadrons entering the process. In ref. \[9\]a method was described which enormously simplifies the a Supported in part by NSF PHY-84-15535-05. 2 Supported by Rutgers Supercomputer Postdoctoral Fellowship and Virginia Polytechnic Institute and State University.",

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AU - Farrar, G. R.

AU - Zhang, H.

AU - Ogloblin, A. A.

AU - Zhitnitsky, I. R.

N1 - Funding Information: Two ingredients are needed to obtain a quantitative prediction for the amplitude of an exclusive process: the hard kernel of the reaction, calculable from QCD perturbation theory, and the nonperturbative wave functions of the hadrons entering the process. In ref. \[9\]a method was described which enormously simplifies the a Supported in part by NSF PHY-84-15535-05. 2 Supported by Rutgers Supercomputer Postdoctoral Fellowship and Virginia Polytechnic Institute and State University.

PY - 1989/1/2

Y1 - 1989/1/2

N2 - The first few moments of the wave functions for Δ's and Ω are evaluated by QCD sum rules. Model wave functions are constructed based on these moments. Perturbative QCD predictions of cross sections for γγ → Δ++Δ++ and γγ → ΩΩ are obtained by integrating the quark scattering amplitudes over these wave functions. The ratio of γγ → Δ++Δ++ and γγ → p p ̄ cross sections is much lower than would be naively expected. Predictions for γγ → B8B8 are also given for the full baryon octet with QCD sum-rule wave functions.

AB - The first few moments of the wave functions for Δ's and Ω are evaluated by QCD sum rules. Model wave functions are constructed based on these moments. Perturbative QCD predictions of cross sections for γγ → Δ++Δ++ and γγ → ΩΩ are obtained by integrating the quark scattering amplitudes over these wave functions. The ratio of γγ → Δ++Δ++ and γγ → p p ̄ cross sections is much lower than would be naively expected. Predictions for γγ → B8B8 are also given for the full baryon octet with QCD sum-rule wave functions.

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Baryon wave functions and cross sections for photon annihilation to baryon pairs

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