Pb izotoplarının Alfa Bozunum Yarı-ömürlerinin Farklı Modeller ile İncelenmesi

Bu çalışmada Pb izotoplarının (178A220) alfa bozunum yarı-ömürleri, WKB (Wentzel-Kramers-Brillion) metodu, Sahu formülü ve yakın zamanda önerilen New RenB formülü çerçevesinde hesaplanmıştır. Bu üç model alfa bozunumları üzerindeki açısal momentumun (L) etkisini içermektedir. Böylelikle farklı mekanizmalar arasında, her bir metot için hesaplanmış rms değerleri kullanılarak karşılaştırmalarda yapılmıştır. Elde edilen sonuçlara göre, nükleer yarıçap ifadesinde değişiklik yapılan Sahu formülünün alfa bozunum yarı-ömürlerini tahmin etmede oldukça başarılı olmuştur. Bu çalışmada elde edilen tahminler, olası deneysel araştırmaların önünü açabilir.

Anahtar Kelimeler:

: Alfa Bozunumu, Açısal Momentum, Pb izotopları

PDF

___

Gamow, G. 1928. Zur quantentheorie des atomkernes. Zeitschrift für Physik, 51:(3-4), 204-212.
Gurney, R. W., & Condon, E. U. 1928. Wave mechanics and radioactive disintegration. Nature, 122:(3073), 439.
Bohr, N., & Wheeler, J. A. 1939. The mechanism of nuclear fission. Physical Review, 56:(5), 426.
Flerov, G. N., & Petrzhak, K. A. 1940. Spontaneous fission of uranium. Physical Review, 58:(89), 275-279.
Rose, H. J., & Jones, G. A. 1984. A new kind of natural radioactivity. Nature, 07:(5948), 245.
Price, P. B., Stevenson, J. D., Barwick, S. W., & Ravn, H. L. 1985. Discovery of Radioactive Decay of Ra222 and Ra224 by C14 Emission. Physical review letters, 54:(4), 297.
Barwick, S. W., Price, P. B., & Stevenson, J. D. 1985. Radioactive decay of U232 by Ne24 emission. Physical Review C, 31:(5), 1984.
Qi, C., Xu, F. R., Liotta, R. J., & Wyss, R. 2009. Universal decay law in charged-article emission and exotic cluster radioactivity. Physical review letters, 103:(7), 072501.
Viola Jr, V. E., & Seaborg, G. T. 1966. Nuclear systematics of the heavy elements-II Lifetimes for alpha, beta and spontaneous fission decay. Journal of Inorganic and Nuclear Chemistry, 28:(3), 741-761.
Poenaru, D. N., Gherghescu, R. A., & Greiner, W. 2011. Single universal curve for cluster radioactivities and α decay. Physical Review C, 83:(1), 014601.
Błocki, J., Randrup, J., Światecki, W. J., & Tsang, C. F. 1977. Proximity forces. Annals of Physics, 105:(2), 427-462.
Santhosh, K. P., Biju, R. K., & Sahadevan, S. 2010. Semi-empirical formula for spontaneous fission half life time. Nuclear Physics A, 832:(3-4), 220-232.
Miller Jr, S. C., & Good Jr, R. H. 1953. A WKB-type approximation to the Schrödinger equation. Physical Review, 91:(1), 174.
Soylu, A., Koyuncu, F., Coban, A., Bayrak, O., & Freer, M. 2018. Investigation of deformation effects on the decay properties of 12C+ α Cluster states in 16O. Annals of Physics, 391, 263-277.
Zhang, Y. L., & Wang, Y. Z. 2018. Systematic study of cluster radioactivity of superheavy nuclei. Physical Review C, 97:(1), 014318.
Santhosh, K. P., Sukumaran, I., & Priyanka, B. 2015. Theoretical studies on the alpha decay of 178–220Pb isotopes. Nuclear Physics A, 935, 28-42.
Santhosh, K. P., & Nithya, C. 2018. α-decay chains of superheavy nuclei with Z= 125. Physical Review C, 97(4), 044615.
Soylu, A. 2017. Phenomenological potential calculations for cluster decays. Turkish Journal of Physics, 41:(3), 217-226.
Koyuncu, F., Soylu, A., & Bayrak, O. 2017. Binary cluster model calculations for 20Ne and 44Ti nuclei. Modern Physics Letters A, 32:(09), 1750050.
Sahu, B., Paira, R., & Rath, B. 2013. General decay law for emission of charged particles and exotic cluster radioactivity. Nuclear Physics A, 908, 40-50.
Zhang, S., Zhang, Y., Cui, J., & Wang, Y. 2017. Improved semi-empirical relationship for α-decay half-lives. Physical Review C, 95:(1), 014311.
Ren, Z., Xu, C., & Wang, Z. 2004. New perspective on complex cluster radioactivity of heavy nuclei. Physical Review C, 70:(3), 034304.
Ni, D., Ren, Z., Dong, T., & Xu, C. 2008. Unified formula of half-lives for α decay and cluster radioactivity. Physical Review C, 78:(4), 044310.
Akrawy, D. T., Hassanabadi, H., Hosseini, S. S., & Santhosh, K. P. 2018. Nuclear isospin effect on α-decay half-lives. Nuclear Physics A, 975, 19-28.
Denisov, V. Y., & Royer, G. 1994. Sub-barrier fusion of 64Ni+ 100Mo. Journal of Physics G: Nuclear and Particle Physics, 20:(2), L43.
Langer, R. E. 1937. On the connection formulas and the solutions of the wave equation. Physical Review, 51:(8), 669.
Buck, B., Merchant, A. C., & Perez, S. M. 1992. α decay calculations with a realistic potential. Physical Review C, 45:(5), 2247.
Buck, B., Johnston, J. C., Merchant, A. C., & Perez, S. M. 1995. Unified treatment of scattering and cluster structure in α+ closed shell nuclei: Ne20 and Ti44. Physical Review C, 52:(4), 1840.
Cook, J. 1982. Double-folding model analysis of deuteron elastic scattering. Nuclear Physics A 382:(1) 61-70.
Farid, M. E. A., Mahmoud, Z. M. M., & Hassan, G. S. 2001. Analysis of heavy ions elastic scattering using the double folding cluster model. Nuclear Physics A, 691:(3-4), 671-690.
Woods, R. D., & Saxon, D. S. 1954. Diffuse surface optical model for nucleon-nuclei scattering. Physical Review, 95:(2), 577.
Buck, B., Merchant, A. C., & Perez, S. M. 1996. Exotic cluster states in actinide nuclei. Physical review letters, 76:(3), 380.