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Measurement of the proton-carbon bremsstrahlung cross sections at 2.135 MeV: Testing soft-photon approximations

D. Yan, P. M. S. Lesser, M. K. Liou, and C. C. Trail

  • Department of Physics and Institute for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210

Phys. Rev. C 45, 331 – Published 1 January, 1992

DOI: https://doi.org/10.1103/PhysRevC.45.331

Abstract

The proton-carbon bremsstrahlung (p γ12) cross sections as a function of photon energy have been measured at the incident proton energy of 2.135 MeV for two proton scattering angles: one at 155° and another one at 175°. We have extended the range of photon energy up to about 1.7 MeV, which is near the maximum photon energy, in order to study all possible resonant structures. Two resonant structures have been observed in the bremsstrahlung spectrum. The first is identified as the structure due to the 1.7-MeV elastic C12 scattering resonance and the second is attributed to the 0.5-MeV resonance. These measured p12Cγ spectra with the detailed information about the resonant structure have been used to test the range of validity of various soft-photon approximations. We have found that our data can be described by a special two-energy–two-angle approximation, which depends on one elastic T matrix evaluated at the initial energy (or total energy squared) and another elastic T matrix evaluated at the final energy, but the approximation is free of any derivative of the elastic T matrix with respect to energy or scattering angle (or momentum transfer squared). Our study also shows that the resonant structure predicted by the one-energy–one-angle approximation disagrees with the experimental data.

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