Application of the Lorentz-Transform Technique to Meson Photoproduction

Abstract

We show that the Lorentz integral transform (LIT) technique which has been successfully applied to photoreactions in light nuclei can also be applied to photoreactions involving particle production. A simple model where results are easily calculable in the traditional fashion is used to test the technique. Specifically we compute inclusive ${\pi }^{+}$ photoproduction from deuterium for photon energies less than 200 MeV using a Yamaguchi model for the NN interaction. It is demonstrated that although the response functions for inclusive meson production do not have favourable asymptotic behavior one can nontheless extract them by inversion of the transform. The implication is that one can treat realistic problems of photo-meson production including all final state interactions by means of the LIT technique.

LaTex, RevTex4, 12 pages, 4 figuers, accepted for publication in European Physical Journal A

References in corpus (7)

• Response Functions from Integral Transforms with a Lorentz Kernel
• Influence of final state interaction on incoherent pion photoproduction on the deuteron in the region of the Delta-resonance
• Photodisintegration of Three-Body Nuclei with Realistic 2N and 3N Forces
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Cited by in corpus (6)

• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• New inversion methods for the Lorentz Integral Transform
• ${\pi }^0$-Photoproduction on the deuteron via $\Delta$-excitation using the Lorentz Integral Transform
• On calculating response functions via their Lorentz integral transforms
• Electromagnetic reactions of few-body systems with the Lorentz integral transform method
• Some relativistic aspects of nuclear dynamics at the electrodisintegration of nuclei