Abstract

The ^text {nat}C(p,x)^{11}C reaction has been discussed in detail in the past [EXFOR database, Otuka et al. (Nuclear Data Sheets 120:272–276, 2014)]. However, measured activation cross sections by independent experiments are up to 15% apart. The aim of this study is to investigate underlying reasons for these observed discrepancies between different experiments and to determine a new consensus reference cross section at 100 MeV. Therefore, the experimental methods described in the two recent publications [Horst et al. (Phys Med Biol https://doi.org/10.1088/1361-6560/ab4511, 2019) and Bäcker et al. (Nuclear Instrum Methods Phys Res B 454:50–55, 2019)] are compared in detail and all experimental parameters are investigated for their impact on the results. For this purpose, a series of new experiments is performed. With the results of the experiments a new reference cross section of (68±3) mb is derived at (97±3) MeV proton energy. This value combined with the reliably measured excitation function could provide accurate cross section values for the energy region of proton therapy. Because of the well-known gamma-ray spectrometer used and the well-defined beam characteristics of the treatment machine at the proton therapy center, the experimental uncertainties on the absolute cross section could be reduced to 3%. Additionally, this setup is compared to the in-beam measurement setup from the second study presented in the literature (Horst et al. 2019). Another independent validation of the measurements is performed with a PET scanner.

Highlights

  • The activation of natural carbon and the production of the radionuclide 11C by protons (natC(p,x)11C) is a well studied nuclear reaction and measured cross sections are available from the threshold (18.72 MeV) up to several GeV [31]

  • 11C is produced in the irradiated tissue as a by-product of the radiotherapy with protons or heavy ions and its spatial distribution can be determined with a positron emission tomography (PET) camera during or after the treatment [32]

  • The uncertainty of the Dortmund Low Background Facility (DLB) is lower compared to the in-beam setup which is given by the special design and characteristics of the DLB

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Summary

Introduction

The activation of natural carbon and the production of the radionuclide 11C by protons (natC(p,x)11C) is a well studied nuclear reaction and measured cross sections are available from the threshold (18.72 MeV) up to several GeV [31]. The absolute cross section values vary by about 15% among the literature references and accumulate around two distinct trends This difference still persists in three recent publications [5,6,17] where the natC(p,x)11C reaction has been studied independently with two different experimental setups. Dosimetry of proton fields with activated graphite foils has been proposed as an alternative approach to ionization chamber based dosimetry [28]. Such applications in medical physics require an accurate knowledge of the natC(p,x)11C cross section in the therapeutic energy range (proton energies up to 250 MeV) and suitable uncertainties for the accuracy required for radiotherapy. Monte Carlo transport codes are typically verified and optimized by comparison with experimental cross section data [4]

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