Yusuf KAVUN, Eyyup TEL, Muhittin ŞAHAN, Ahmet SALAN

Nükleer Tıpta Kullanılan Bazı Radyofarmasötiklerin Üretim Reaksiyon Tesir Kesitlerinin Yoğunluğa Bağlı Yeni Parametrelerle Hesaplanması

Nükleer tıpta, radyofarmasötikler tanı veya tedavi amacıyla kullanılmaktadır. Yapılarında radyonüklid içeren radyofarmasötikler, reaktör, jeneratör veya siklotronlarla üretilirler ve genellikle sintigrafik veya tomografik incelemelerde kullanılır. Üretilen radyonüklidler, organik veya inorganik maddelerle birlikte vücuda verilebilir. Bu çalışmada, (n, α) reaksiyonları için Tel ve arkadaşları (2008) tarafından geliştirilen yarı-ampirik tesir kesit formülü kullanılarak seçilen iki radyofarmasötik çekirdek (99Tc ve 115In) için üretim reaksiyonu tesir kesitleri hesaplanmıştır. Ayrıca, yoğunluğa bağlı ampirik (n, α) (2008) nükleer reaksiyon tesir kesitleri dört Skyrme Hartree Fock parametreleri (S3, T3, SKM ve SKM*) kullanılarak da incelenmiştir. Tel ve ark. (2008) tarafından geliştirilen yarı ampirik formülünden hesaplanan değer uyumlu çıkarken, yoğunluğa bağlı hesaplamaların deneysel değerlerden daha aşağıda olduğu gözlemlenmiştir.

Anahtar Kelimeler:

Nükleer tıp, Nükleer reaksiyonlar, Tesir kesiti, Skyrme potansiyeli, Asimetri parametresi

Calculation of Production Reaction Cross Section of Some Radiopharmaceuticals Used in Nuclear Medicine by New Density Dependent Parameters

In nuclear medicine, radiopharmaceuticals are used for diagnosis or treatment purposes. Radiopharmaceuticals containing radionuclide in their structure are produced by reactors, generators or cyclotrons and are generally used for scintigraphy or tomographic investigations. The produced radionuclides can be given to the human body together with organic or inorganic substances. In this study, the production reaction cross sections were calculated for two selected radiopharmaceutical nuclei (99Tc and 115In) using the semi-empirical cross section formula for the (n, α) reactions developed by Tel et al. (2008). The density depending on (n, α) reaction cross sections were also investigated with the four Skyrme Hartree Fock parameters (S3, T3, SKM and SKM*). While the calculated value from the semi-empirical formula developed by Tel et al. (2008) gave reasonable results, the density-dependent calculations were observed lower values than that of experimental values.

Keywords:

Nuclear medicine, Nuclear reactions, Cross section, Skyrme potential, Asymmetry parameters,

PDF

___

D. L. Bailey, J.L. Humm, A. Todd-Pokropek and A. V. Aswegen, “Nuclear medicine physics, a handbook for students and teachers” in Basic Physics For Nuclear Medicine, International atomic energy agency, Vienna, 2014, pp. 1-48.
E. Tel, Ş. Okuducu, M.H. Bölükdemir and G. Tanir, “Semi-empirical systematics of (n, 2n), (n, ?) reactions cross sections at 14–15 MeV neutron energy”, Int. J. Mod. Phys. E, vol. 17, pp. 567-583, 2008.
R. Baldık, “Investigation of the ground state features of some exotic nuclei using effective Skyrme interaction”, Ph.D. thesis, Zonguldak Karaelmas University, Science institute, 2010.
E. Tel, Y. Kavun, M. Sahan and A. Aydin, “A Study on the New Empirical Cross Section Formulae for (?, p) Reactions at 20?±?1 MeV Incident Energy”, J. Fusion Energ, vol.37, pp. 270–274, 2018.
M. E. Korkmaz, M. Yiğit and O. Agar, “Investigation of reaction cross sections of 10,11B with protons and neutrons of 0 – 30 MeV incoming energy using nuclear models” Balkan Physics Letters, vol. 20, pp. 293 – 300, 2012.
N. N. Bogolyubov, “On a variational principle in the many-body problem,” Soviet Physics Doklady, vol. 3, pp. 292-294, 1958.
M. Beiner, H. Flocard, N. Van Giai and P. Quentin, “Nuclear ground-state properties and self-consistent calculations with the Skyrme interaction: (I). Spherical description”, Nucl. Phys. A, vol. 238, pp. 29-69, 1975.
A.Yu. Konobeyev, C.H.M. Broeders, U. Fischer, L. Mercatali, I. Schmuck, and S.P. Simakov, “The Proton Activation Data File PADF-2007”, International Conference on Nuclear Data for Science and Technology, 2007.
D. Vauthering and D. M. Brink, “Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei”, Phys. Rev. C, vol. 5, pp. 626-647, 1972.
A. Aydin, E. Tel and M. Sahan, “Calculation of equilibrium and pre-equilibrium 4He emission spectra at 62 MeV proton incident energy”, J. Fusion Energ, vol. 30, pp.34–38, 2011.
L. G. Qiang, “A systematic study of nuclear properties with Skyrme forces” J. Phys. G: Nucl. Part. Phys., vol. 17, pp. 1-34, 1991.
T. H. R. Skyrme, “The effective nuclear potential”, Nucl. Phys., vol. 9, pp. 615-634, 1959.
P. Reimer, A. J. Koning, A. J. M. Plompen, S. M. Qaim and S. Sudár, “Neutron induced reaction cross sections for the radioactive target nucleus Tc-99”, Nucl. Phys. A, vol.815,pp. 1-17, 2000.
V. N. Levkovskii, “Relative cross sections of the (n,p) and (n,a) reactions on elements with several stable isotopes”, J. Exptl. Theoret. Phys., vol.33, pp.1520-1521, 1957.