A Systematic Review on (p,α) Cross Section Data at the Energy of 17.9 MeV

Year 2022, , 382 - 390, 25.11.2022

Mustafa Yiğit , Hüseyin Dönmez

https://doi.org/10.29233/sdufeffd.1169140

Abstract

Nuclear cross section data are needed in various applications such as radiation therapy, astrophysics, radioisotope production, fusion and fission. The systematics play a very important role in determining cross sections on neutron- and proton-induced reactions at incoming energies of which there are no experimental values. So, empirical systematics have been extensively used at present in the studies on cross section calculations. In this paper, we proposed empirical cross section formulas considering Q–value dependence on (p,α) reactions at proton energy of 17.9 MeV. The present formulas including Coulomb and odd-even effects are based on the statistical theory. In addition, these formulas are a modification to the Levkovskii’s original asymmetry parameter formulas for neutron induced reactions and the Tel et al.’s empirical formulas for proton reactions. Fitting parameters of formulas were determined by least-squares fitting to experimental excitation function data. It is seen that new empirical formulas give good fits with (p,α) experimental cross section values in the literature at 17.9 MeV.

Keywords

Statistical theory, Cross section, Empirical systematic, (p,a) nuclear reaction, Asymmetry parameter, Odd-even effects

17.9 MeV’lik Enerjide (p,α) Tesir Kesiti Verileri üzerine Sistematik Bir İnceleme

Abstract

Radyasyon tedavisi, astrofizik, radyoizotop üretimi, füzyon ve fisyon gibi çeşitli uygulamalarda nükleer tesir kesiti verilerine ihtiyaç duyulmaktadır. Sistematikler, deneysel değeri olmayan gelme enerjilerde nötron ve protonla oluşturulan reaksiyon tesir kesitlerinin belirlenmesinde önemli bir rol oynamaktadır. Bu yüzden, ampirik sistematikler günümüzde tesir kesiti hesaplamaları üzerine çalışmalarda yaygın olarak kullanılmaktadır. Bu çalışmada, 17.9 MeV'lik proton enerjisinde (p,α) reaksiyonları üzerine Q-değeri bağımlılığını göz önünde bulundurarak ampirik tesir kesiti formülleri önerdik. Coulomb ve tek-çift etkileri dahil eden mevcut formüller istatistiksel teoriye dayanmaktadır. Ek olarak, bu formüller, Levkovskii'nin nötron kaynaklı reaksiyonlar için orijinal asimetri parametre formüllerinin ve Tel ve arkadaşlarının proton kaynaklı reaksiyonlar için ampirik formüllerinin bir modifikasyonudur. Formüllerin fit parametreleri deneysel uyarılma fonksiyonu verilerinin en küçük kareler fit işlemi tarafından belirlendi. Yeni ampirik formüllerin, 17.9 MeV'de literatürdeki (p,α) deneysel tesir kesiti değerleri ile iyi uyum sağladığı görülmektedir.

Keywords

İstatistiksel Teori, Tesir kesiti, Ampirik sistematik, (p,a) nükleer reaksiyonu, Asimetri parametresi, Tek-çift etkiler

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