DOI QR코드

DOI QR Code

Monte Carlo Calculation for Production Cross-Sections of Projectile's Isotopes from Therapeutic Carbon and Helium Ion Beams in Different Materials

  • 투고 : 2023.07.22
  • 심사 : 2023.11.07
  • 발행 : 2023.12.31

초록

Background: Isotopes of the projectile may be produced along the beam path during the irradiation of a target by a heavy ion due to inelastic interactions with the media. This study analyzed the production cross-section of carbon (C) and Helium (He) projectile's isotopes resulting from the interactions of these beams with different materials along the beam path. Materials and Methods: In this study, we transport C and He ion beams through different materials. This transportation was made by the Monte Carlo simulation. Particle and Heavy Ion Transport code System (PHITS) has been used for this calculation. Results and Discussion: It has been found that 10C, 11C, and 13C from the 12C ion beam and 3He from the 4He ion beam are significant projectile's isotopes that have higher flux than other isotopes of these projectiles. The 4He ion beam has a higher projectile's isotope production cross-section along the beam path, which adds more impurities to the beam than the 12C ion beam. These projectile's isotopes from both the 12C and 4He ion beams have higher production cross-sections in hydrogenous materials like water or polyethylene. Conclusion: It is important to distinguish these projectile's isotopes from the primary beam particles to obtain a precise and accurate cross-section result by minimizing the error during measurement with a nuclear track detector. This study will show the trend of the production probability of projectile's isotopes for these ion beams.

키워드

참고문헌

  1. Yasuda N, Konishi T, Matsumoto K, Yamauchi T, Asuka T, Furusawa Y, et al. Dose distribution of carbon ions in air assessed using imaging plates and ionization chamber. Radiat Meas. 2005;40(2-6):384-388. https://doi.org/10.1016/j.radmeas.2004.12.019
  2. Nagamatsu A, Casolino M, Larsson O, Ito T, Yasuda N, Kitajo K, et al. Space radiation dosimetry to evaluate the effect of polyethylene shielding in the Russian segment of the international space station. Phys Procedia. 2015;80:25-35. https://doi.org/10.1016/j.phpro.2015.11.083
  3. Yasuda N, Uchikawa K, Amemiya K, Watanabe N, Takahashi H, Nakazawa M, et al. Estimation of the latent track size of CR-39 using atomic force microscope. Radiat Meas. 2001;34(1-6):45-49. https://doi.org/10.1016/S1350-4487(01)00118-4
  4. Luoni F, Horst F, Reidel CA, Quarz A, Bagnale L, Sihver L, et al. Total nuclear reaction cross-section database for radiation protection in space and heavy-ion therapy applications. New J Phys. 2021;23:101201.
  5. Tran DT, Ong HJ, Nguyen TT, Tanihata I, Aoi N, Ayyad Y, et al. Charge-changing cross-section measurements of 12-16C at around 45A MeV and development of a Glauber model for incident energies 10A-2100A MeV. Phys Rev C. 2016;94(6):1-9. https://doi.org/10.1103/PhysRevC.94.064604
  6. Evoli C, Gaggero D, Vittino A, Di Mauro M, Grasso D, Mazziotta MN. Cosmic-ray propagation with DRAGON2: II. Nuclear interactions with the interstellar gas. J Cosmol Astropart Phys. 2018;2018:006.
  7. Cheshire DL, Huggett RW, Johnson DP, Jones WV, Rountree SP, Verma SD, et al. Fragmentation cross sections of 2.1-GeV/nucleon 12C and 16O ions. Phys Rev D. 1974;10(1):25-31. https://doi.org/10.1103/PhysRevD.10.25
  8. Westfall GD, Wilson LW, Lindstrom PJ, Crawford HJ, Greiner DE, Heckman HH. Fragmentation of relativistic 56Fe. Phys Rev C. 1979;19(4):1309-1323. https://doi.org/10.1103/PhysRevC.19.1309
  9. Webber WR, Brautigam DA. Fragmentation of 56Fe nuclei on CH2, carbon, and hydrogen targets: individual charge changing and total cross sections. Astrophys J. 1982;260:894-908. https://doi.org/10.1086/160308
  10. Cummings JR, Binns WR, Garrard TL, Israel MH, Klarmann J, Stone EC, et al. Determination of the cross sections for the production of fragments from relativistic nucleus-nucleus interactions. II. Parametric fits. Phys Rev C. 1990;42(6):2530-2545. https://doi.org/10.1103/PhysRevC.42.2530
  11. Lindstrom PJ, Greiner DE, Heckman HH, Cork B, Beiser FS. Fragmentation of 40Ar at 100 GeV/c: volume 7 (HE session). Proceedings from the 14th International Cosmic Ray Conference; 1975 Aug 15-29; Munich, Germany. p. 2315.
  12. Agnes P, Albuquerque IFM, Alexander T, Alton AK, Ave M, Back HO, et al. Measurement of the ion fraction and mobility of 218Po produced in 222Rn decays in liquid argon. J Instrum. 2019;14:P11018.
  13. Brechtmann C, Heinrich W. Measurements of elemental fragmentation cross section for relativistic heavy ions using CR39 plastic nuclear track detector. Nucl Instrum Methods Phys Res B. 1988; 29(4):675-679. https://doi.org/10.1016/0168-583X(88)90475-2
  14. Yasuda N, Yamamoto M, Amemiya K, Takahashi H, Kyan A, Ogura K. Track sensitivity and the surface roughness measurements of CR-39 with atomic force microscope. Radiat Meas. 1999;31(1-6):203-208. https://doi.org/10.1016/S1350-4487(99)00089-X
  15. Yasuda N, Zhang DH, Kodaira S, Koguchi Y, Takebayashi S, Shinozaki W, et al. Verification of angular dependence for track sensitivity on several types of CR-39. Radiat Meas. 2008;43(Suppl 1):S269-S273. https://doi.org/10.1016/j.radmeas.2008.03.027
  16. DeWitt JM, Benton ER, Uchihori Y, Yasuda N, Benton EV, Frank AL. Assessment of radiation shielding materials for protection of space crews using CR-39 plastic nuclear track detector. Radiat Meas. 2009;44(9-10):905-908. https://doi.org/10.1016/j.radmeas.2009.10.041
  17. Golovchenko AN, Sihver L, Ota S, Skvarc J, Yasuda N, Kodaira S, et al. Fragmentation of 370 MeV/n 20Ne and 470 MeV/n 24Mg in light targets. Radiat Meas. 2010;45(7):856-860. https://doi.org/10.1016/j.radmeas.2010.03.006
  18. Huo LD, Wang LH, Zhu JH, Li HL, Li JS, Kodaira S, et al. The total charge-changing cross sections and the partial cross sections of 56Fe fragmentation on Al, C and CH2 targets. Chin J Phys. 2019; 60:88-97. https://doi.org/10.1016/j.cjph.2019.04.022
  19. Toshito T, Kodama K, Sihver L, Yusa K, Ozaki M, Amako K, et al. Measurements of total and partial charge-changing cross sections for 200- to 400-MeV/nucleon 12C on water and polycarbonate. Phys Rev C. 2007;75(5):054606.
  20. Young DA. Etching of radiation damage in lithium fluoride. Nature. 1958;182(4632):375-377. https://doi.org/10.1038/182375a0
  21. Price PB, Walker RM. Electron microscope observation of etched tracks from spallation recoils in mica. Phys Rev Lett. 1962;8(5):217.
  22. Price PB, Walker RM. Observations of charged-particle tracks in solids. J Appl Phys. 1962;33(12):3400-3406. https://doi.org/10.1063/1.1702420
  23. Kodaira S, Hasebe N, Doke T, Kitagawa A, Kitamura H, Sato S, et al. Mass resolution for iron isotopes in CR-39 track detector. Jpn J Appl Phys. 2004;43(9R):6358-6363. https://doi.org/10.1143/JJAP.43.6358
  24. Hayashi T, Hamasaki R, Doke T. Mass resolution for iron isotopes in the plastic CR-39. Nucl Tracks Radiat Meas. 1982;6(1):1-7. https://doi.org/10.1016/0735-245X(82)90003-5
  25. Wang J, Toloczko MB, Kruska K, Schreiber DK, Edwards DJ, Zhu Z, et al. Carbon contamination during ion irradiation: accurate detection and characterization of its effect on microstructure of ferritic/martensitic steels. Sci Rep. 2017;7(1):15813.
  26. Kozma P, Tolstov KD, Yanovsky VV. Cross sections for the production of 11C in C targets by 3.65 A GeV projectiles. Nucl Instrum Methods Phys Res A. 1990;291(3):662-663. https://doi.org/10.1016/0168-9002(90)90017-Z
  27. Kaki K. Reaction cross sections of proton scattering from carbon isotopes (A=8-22) by means of the relativistic impulse approximation. Prog Theor Exp Phys. 2017;2017(9):ptx116.
  28. Sato T, Niita K, Matsuda N, Hashimoto S, Iwamoto Y, Furuta T, et al. Overview of particle and heavy ion transport code system PHITS. Ann Nucl Energy. 2015;82:110-115. https://doi.org/10.1016/j.anucene.2014.08.023
  29. Horst F, Schuy C, Weber U, Brinkmann KT, Zink K. Measurement of charge- and mass-changing cross sections for 4He+12C collisions in the energy range 80-220 MeV/u for applications in ion beam therapy. Phys Rev C. 2017;96(2):024624.
  30. Ogawa T, Sato T, Hashimoto S, Satoh D, Tsuda S, Niita K. Energy-dependent fragmentation cross sections of relativistic 12C. Phys Rev C. 2015;92(2):024614.
  31. Boudard A, Cugnon J, David JC, Leray S, Mancusi D. New potentialities of the Liege intranuclear cascade model for reactions induced by nucleons and light charged particles. Phys Rev C. 2013;87(1):014606.
  32. Ploc O, Dachev T, Uchihori Y, Kitamura H, Sihver L. Fragmentation from heavy ion beams in HIMAC BIO room calculated with PHITS and measured with Liulin. Proceedings of the 2017 IEEE Aerospace Conference; 2017 Mar 4-11; Big Sky, MT, USA. p. 1-10.
  33. Iwata Y, Fujita T, Fujimoto T, Furukawa T, Hara Y, Kondo K, et al. Development of carbon-ion radiotherapy facilities at NIRS. IEEE Trans Appl Supercond. 2018;28(3):4400807.
  34. Golovchenko AN, Skvarc J, Yasuda N, Giacomelli M, Tretyakova SP, Ilic R, et al. Total charge-changing and partial cross-section measurements in the reactions of ~110-250 MeV/nucleon 12C in carbon, paraffin, and water. Phys Rev C. 2002;66(1):014609.
  35. Horst F, Adi W, Arico G, Brinkmann KT, Durante M, Reidel CA, et al. Measurement of PET isotope production cross sections for protons and carbon ions on carbon and oxygen targets for applications in particle therapy range verification. Phys Med Biol. 2019;64(20):205012.
  36. Kidd JM, Lindstrom PJ, Crawford HJ, Woods G. Fragmentation of carbon ions at 250 MeV/nucleon. Phys Rev C. 1988;37(6):2613-2623. https://doi.org/10.1103/PhysRevC.37.2613
  37. Webber WR, Kish JC, Schrier DA. Individual charge changing fragmentation cross sections of relativistic nuclei in hydrogen, helium, and carbon targets. Phys Rev C. 1990;41(2):533-546. https://doi.org/10.1103/PhysRevC.41.533
  38. Yashima H, Uwamino Y, Iwase H, Sugita H, Nakamura T, Ito S, et al. Measurement and calculation of radioactivities of spallation products by high-energy heavy ions. Radiochim Acta. 2003;91(12):689-696. https://doi.org/10.1524/ract.91.12.689.23423
  39. Boillos JM, Cortina-Gil D, Benlliure J, Rodriguez-Sanchez JL, Alvarez-Pol H, Atar L, et al. Isotopic cross sections of fragmentation residues produced by light projectiles on carbon near. Phys Rev C. 2022;105(1):014611.