- Access by Xinjiang University
Angular differential and elemental fragmentation cross sections of a 400 MeV/nucleon beam on a graphite target with the FOOT experiment
Phys. Rev. C 112, 014610 – Published 2 July, 2025
DOI: https://doi.org/10.1103/nmw9-ldrm
Abstract
This paper presents the measurements of the angular differential cross sections for the forward production of He, Li, Be, B, C, and N nuclei in the fragmentation process of a beam interacting with a graphite target. Due to the limited data available in this energy regime, these measurements of nuclear fragmentation cross sections are relevant to improve nuclear interaction models for particle therapy and space radioprotection applications. The data analyzed in this paper were collected during a measurement campaign carried out at the GSI Helmholtz Center for Heavy Ion Research facility in Darmstadt (Germany) by the FOOT Collaboration. The results are compared with similar results found in the literature and with a previous FOOT measurement of the same process, using the same setup, from a previous pilot run performed at GSI. The pilot run data, however, had limited statistics and only allowed for the measurement of elemental fragmentation cross sections integrated in the setup acceptance. This data set, with statistics more than 100 times larger compared to the data collected in the previous run, enabled the measurement of angular differential cross sections, fully exploiting the granularity of the FOOT -TOF (time-of-flight) system. Furthermore, a better comprehension of the FOOT apparatus allowed to improve the analysis techniques, leading to a reduction in the final systematic uncertainties. The cross section results have been compared with some of the prominent Monte Carlo models of FLUKA and Geant4 dedicated to the energy range of interest for light ion fragmentation physics.
Physics Subject Headings (PhySH)
Article Text
References (53)
- M. Durante and H. Paganetti, Nuclear physics in particle therapy: a review, Rep. Prog. Phys. 79, 096702 (2016).
- M. Durante and F. Cucinotta, Physical basis of radiation protection in space travel, Rev. Mod. Phys. 83, 1245 (2011).
- M. Krämer and M. Durante, Ion beam transport calculations and treatment plans in particle therapy, Eur. Phys. J. D 60, 195 (2010).
- D. Thwaites, Accuracy required and achievable in radiotherapy dosimetry: have modern technology and techniques changed our views? J. Phys.: Conf. Ser. 444, 012006 (2013).
- F. Tommasino and M. Durante, Proton radiobiology, Cancers (Basel) 7, 353 (2015).
- J. Wilson, J. Miller, A. Konradi, and F. Cucinotta, Shielding strategies for human space exploration, NASA Report No. CP-3360, 1997, https://ntrs.nasa.gov/api/citations/19980137598/downloads/19980137598.pdf.
- J. H. Heinbockel et al., Comparison of the transport codes HZETRN, HETC and FLUKA for a solar particle event, Adv. Space Res. 47, 1079 (2011).
- M. Durante, Space radiation protection: Destination mars, Life Sci. Space Res. 1, 2 (2014).
- J. W. Norbury et al., Nuclear data for space radiation, Radiat. Meas. 47, 315 (2012).
- F. Luoni et al., Total nuclear reaction cross-section database for radiation protection in space and heavy-ion therapy applications, New J. Phys. 23, 101201 (2021).
- J. W. Norbury et al., Are further cross section measurements necessary for space radiation protection or ion therapy applications? Helium projectiles, Front. Phys. 8, 565954 (2020).
- F. Sommerer et al., Investigating the accuracy of the FLUKA code for transport of therapeutic ion beams in matter, Phys. Med. Biol. 51, 4385 (2006).
- T. Sato et al., Biological dose estimation for charged-particle therapy using an improved PHITS code coupled with a microdosimetric kinetic model, Radiat. Res. 171, 107 (2009).
- T. Böhlen et al., Benchmarking nuclear models of FLUKA and GEANT4 for carbon ion therapy, Phys. Med. Biol. 55, 5833 (2010).
- J. Dudouet, D. Cussol, D. Durand, and M. Labalme, Benchmarking GEANT4 nuclear models for hadron therapy with 95 MeV/nucleon carbon ions, Phys. Rev. C 89, 054616 (2014).
- J. Dudouet et al., Double-differential fragmentation cross-section measurements of 95 MeV/nucleon beams on thin targets for hadron therapy, Phys. Rev. C 88, 024606 (2013).
- J. Dudouet, M. Labalme, D. Cussol, C. Finck, R. Rescigno, M. Rousseau, S. Salvador, and M. Vanstalle, Zero-degree measurements of fragmentation at 95 MeV/nucleon on thin targets, Phys. Rev. C 89, 064615 (2014).
- R. Pleskac et al. (FIRST Collaboration), The FIRST experiment at GSI, Nucl. Instrum. Methods Phys. Res. Sect. A 678, 130 (2012).
- M. Toppi et al. (FIRST Collaboration), Measurement of fragmentation cross sections of ions on a thin gold target with the FIRST apparatus, Phys. Rev. C 93, 064601 (2016).
- C. Zeitlin et al., Fragmentation of , and nuclei at 290 to 1000 MeV/nucleon, Phys. Rev. C 83, 034909 (2011).
- W. R. Webber, J. C. Kish, and D. A. Schrier, Individual charge changing fragmentation cross sections of relativistic nuclei in hydrogen, helium, and carbon targets., Phys. Rev. C 41, 533 (1990).
- I. Mattei et al. (FOOT Collaboration), Measurement of fragmentation cross sections on C, O, and H in the energy range of interest for particle therapy applications, IEEE Trans. Radiat. Plasma Med. Sci. 4, 269 (2020).
- G. Battistoni et al. (FOOT Collaboration), Measuring the impact of nuclear interaction in particle therapy and in radio protection in space: The FOOT experiment, Front. Phys. 8, 568242 (2021).
- M. Toppi et al. (FOOT Collaboration), Elemental fragmentation cross sections for a beam of 400 MeV/u kinetic energy interacting with a graphite target using the FOOT -TOF detectors, Front. Phys. 10, 979229 (2022).
- G. Galati et al. (FOOT Collaboration), Charge identification of fragments produced in beam interactions at 200 MeV/n and 400 MeV/ n on C and targets, Front. Phys. 11, 1327202 (2024).
- G. Traini et al. (FOOT Collaboration), Performance of the ToF detectors in the foot experiment, Nuovo Cimento Soc. Ital. Fis. C 43, 16 (2020).
- A. Kraan et al. (FOOT Collaboration), Charge identification of nuclear fragments with the FOOT time-of-flight system, Nucl. Instrum. Methods Phys. Res. Sect. A 1001, 165206 (2021).
- Y. Dong et al. (FOOT Collaboration), The drift chamber detector of the FOOT experiment: Performance analysis and external calibration, Nucl. Instrum. Methods Phys. Res. Sect. A 986, 164756 (2021).
- L. Galli et al., The fragmentation trigger of the foot experiment, Nucl. Instrum. Methods Phys. Res. Sect. A 1046, 167757 (2023).
- G. Battistoni et al., The FLUKA code: An accurate simulation tool for particle therapy, Front. Oncol. 6, 116 (2016).
- Y. Dong et al. (FOOT Collaboration), The FLUKA Monte Carlo simulation of the magnetic spectrometer of the FOOT experiment, Comput. Phys. Commun. 307, 109398 (2024).
- M. Morrocchi et al. (FOOT Collaboration), Development and characterization of a -TOF detector prototype for the FOOT experiment, Nucl. Instrum. Methods Phys. Res. Sect. A 916, 116 (2019).
- S. Schmitt, Data unfolding methods in high energy physics, EPJ Web Conf. 137, 11008 (2017).
- G. D'Agostini, Improved iterative Bayesian unfolding, arXiv:1010.0632.
- G. D'Agostini, A multidimensional unfolding method based on Bayes' theorem, Nucl. Instrum. Methods Phys. Res. Sect. A 362, 487 (1995).
- T. Adye, Unfolding algorithms and tests using RooUnfold, arXiv:1105.1160.
- B. Malaescu, An iterative, dynamically stabilized (IDS) method of data unfolding, CERN (2011), doi:10.5170/CERN-2011-006.271.
- S. Agostinelli, J. Allison et al., Geant4 - a simulation toolkit, Nucl. Instrum. Methods Phys. Res. Sect. A 506, 250 (2003).
- J. Allison et al., Geant4 developments and applications, IEEE Trans. Nucl. Sci. 53, 270 (2006).
- J. Allison et al., Recent developments in Geant4, Nucl. Instrum. Methods Phys. Res. Sect. A 835, 186 (2016).
- G. Folger, V. N. Ivanchenko, and J. P. Wellisch, The binary cascade - nucleon nuclear reactions, Eur. Phys. J. A 21, 407 (2004).
- D. Mancusi, K. Niita, T. Maruyama, and L. Sihver, Stability of nuclei in peripheral collisions in the JAERI quantum molecular dynamics model, Phys. Rev. C 79, 014614 (2009).
- D. Mancusi, A. Boudard, J. Cugnon, J.-C. David, P. Kaitaniemi, and S. Leray, Extension of the Liège intranuclear-cascade model to reactions induced by light nuclei, Phys. Rev. C 90, 054602 (2014).
- H. Sorge, H. Stocker, and W. Greiner, Relativistic quantum molecular dynamics approach to nuclear collisions at ultrarelativistic energies, Nucl. Phys. A 498, 567 (1989).
- H. Sorge, Flavor production in Pb ( GeV) on Pb collisions: Effect of color ropes and hadronic rescattering, Phys. Rev. C 52, 3291 (1995).
- V. Andersen, F. Ballarini, G. Battistoni, M. Campanella et al., The FLUKA code for space applications: recent developments, Adv. Space Res. 34, 1302 (2004).
- H. Aiginger, V. Andersen, F. Ballarini, G. Battistoni et al., The FLUKA code: New developments and application to 1 Gev/n iron beams, Adv. Space Res. 35, 214 (2005).
- F. Ballarini, G. Battistoni, M. Brugger, M. Campanella et al., The physics of the FLUKA code: recent developments, Adv. Space Res. 40, 1339 (2007).
- A. Ferrari and P. R. Sala, The physics of high energy reactions, IAEA: N. p. (1998), Web, https://cds.cern.ch/record/682497/files/phys-97-113.pdf.
- A. Ferrari and P. R. Sala, Nuclear reactions in Monte Carlo codes, Radiat. Prot. Dosim. 99, 29 (2002).
- M. Blann, Hybrid model for pre-equilibrium decay in nuclear reactions, Phys. Rev. Lett. 27, 337 (1971).
- E. Fermi, High-energy nuclear events, Prog. Theor. Phys. 5, 570 (1950).
- M. Epherre and E. Gradsztajn, Calcul de la Spallation de et par des protons de 70 a 200 MeV, J. Phys. 28, 745 (1967).