TY - JOUR T1 - A New Potential Model for Cluster Decay of the Heavy Nuclei AU - Bayrak, Orhan PY - 2019 DA - July JF - The Eurasia Proceedings of Science Technology Engineering and Mathematics JO - EPSTEM PB - ISRES Publishing WT - DergiPark SN - 2602-3199 SP - 118 EP - 121 VL - 6 LA - en AB - Wecalculate cluster decay half-life of the heavy nuclei by using the WKB barrierpotential model. In this model, the cluster is already preformed in the parentnucleus and orbiting around the daughter nucleus before tunneling through apotential barrier between the cluster and daughter nuclei. In this paper, wepurposethe Morse potential describing interactions between the cluster anddaughter nuclei in order to calculate the cluster decay half-life of the heavynuclei. The Morse potential model is used frequently the vibrational androtational energy spectrum of diatomic molecules and atomic scattering process.Similar calculation for Morse potential is used the vibrational and rotationalenergy spectrum of the nucleus and there is also experimental evidence that thenucleus has a molecular structure. Since the nucleus has a molecular structure,we use the Morse potential in order to describe the interactions between thecluster and daughter nuclei and show that the Morse potential is a convenientmodel in order to explain cluster decay half-life of the heavy nuclei. KW - Cluster decay KW - Morse potential KW - WKB method KW - Decay half-life CR - Adel, A. and Alharbi, T. (2017). Cluster decay half-lives of trans-lead nuclei based on a finite-range nucleon–nucleon interaction. Nuclear Physics A, 958:187–201. Bai, D., Ren, Z., Röpke, G. (2019). α clustering from the quartet model. Phys. Rev. C. 99, 034305 (2019). Bayrak, O., Boztosun, I., (2006). Arbitrary ℓ-state solutions of the rotating Morse potential by the asymptotic iteration method. J. Phys. A: Math. Gen. 39, 6955. Buck, B., Merchant, A.C., Perez, S. M. (1996). Exotic Cluster States in Actinide Nuclei. Phys. Review Lett., 76, 380-383. Delion, D. S. et al., (2007). Evidence for α clustering in heavy and super heavy nuclei. Phys. Rev. C, 6, 044318. Langer, R. E., (1937). On the Connection Formulas and the Solutions of the Wave Equation. Phys. Rev., 51, 669. Morse, Philip M., (1929). Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels. Phys. Rev. 34, 57. Pei, J. C. and Xu, F. R., (2007). Helium-cluster decay widths of molecular states in beryllium and carbon isotopes. Physics Letters B, 650, 224–228. Ren, Z., Xu, C. and Wang, Z., (2004). New perspective on complex cluster radioactivity of heavy nuclei. Phys. Rev. C, 70, 034304. Royer, G. and Moustabchir, R., (2001). Light nucleus emission within a generalized liquid-drop model and quasimolecular shapes. Nuclear Physics A, 683, 182–206. Santhosh, K. P., and Biju, R. K., (2009). Alpha decay, cluster decay and spontaneous fission in 294–326122 isotopes. J. Phys. G: Nucl. Part. Phys., 36, 015107. Santhosh, K. P., Priyanka, B. and Unnikrishnan, M. S., (2012). Cluster decay half-lives of trans-lead nuclei within the Coulomb and proximity potential model. Nuclear Physics A, 889, 29–50. Satchler, G. R. (1983). Direct Nuclear Reactions. Oxford, Clarendon Press. Soylu, A. et al. (2012). Role of the cluster deformations in explaining the exotic decay half-lives. Eur. Phys. J. A, 48, 128. Oertzen, W. von, Freer, M., Enyo, Y. K., (2006). Nuclear clusters and nuclear molecules. Physics Reports, 432, 43 – 113 Xu, C. and Ren, Z., (2008). Alpha Decay Half-Lives of Ground and Isometric States of Exotic Nuclei Around Closed Shells. Phys. Rev. C, 78, 057302. Xu, C., et al., (2010). Molecular structure of highly excited resonant states in 24Mg and the corresponding 8Be + 16O and 12C + 12C decays. Phys. Rev. C, 81, 054319. Zheng, L. et al., (2013). Calculation of half-lives of cluster decay by using proximity potential with a new universal function. Nuclear Physics A, 915, 70–77. Zhang, G. L., et al. (2016). Comparative studies for different proximity potentials applied to large cluster radioactivity of nuclei. Nuclear Physics A, 951, 86–96. UR - https://dergipark.org.tr/en/pub/epstem/issue//605351 L1 - https://dergipark.org.tr/en/download/article-file/784868 ER -