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Year 2019, Volume: 6 , 118 - 121, 25.07.2019

Abstract

References

  • 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.

A New Potential Model for Cluster Decay of the Heavy Nuclei

Year 2019, Volume: 6 , 118 - 121, 25.07.2019

Abstract

We
calculate cluster decay half-life of the heavy nuclei by using the WKB barrier
potential model. In this model, the cluster is already preformed in the parent
nucleus and orbiting around the daughter nucleus before tunneling through a
potential barrier between the cluster and daughter nuclei. In this paper, we
purposethe Morse potential describing interactions between the cluster and
daughter nuclei in order to calculate the cluster decay half-life of the heavy
nuclei. The Morse potential model is used frequently the vibrational and
rotational energy spectrum of diatomic molecules and atomic scattering process.
Similar calculation for Morse potential is used the vibrational and rotational
energy spectrum of the nucleus and there is also experimental evidence that the
nucleus has a molecular structure. Since the nucleus has a molecular structure,
we use the Morse potential in order to describe the interactions between the
cluster and daughter nuclei and show that the Morse potential is a convenient
model in order to explain cluster decay half-life of the heavy nuclei.

References

  • 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.
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Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Orhan Bayrak

Publication Date July 25, 2019
Published in Issue Year 2019Volume: 6

Cite

APA Bayrak, O. (2019). A New Potential Model for Cluster Decay of the Heavy Nuclei. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 6, 118-121.