Probing 6He induced reactions with nuclear level density
-
Deniz Canbula
,
Bora Canbula
Abstract
In this study, both elastic and inelastic cross sections of the light exotic nucleus 6He on 12C and 4He at energies of 18 MeV, 30 MeV, 3.8 MeV, 4.2 MeV, 4.7 MeV, 5.1 MeV, 5.4 MeV, and 5.8 MeV, as well as the quasi-elastic cross section of 6He on 9Be at 16.2 MeV and 21.3 MeV, are calculated using the coupled-channel method. The deformation parameters of the first excited states of 6He, 9Be and 12C are obtained through the collective nuclear level density. The results align well with the available experimental data. It is demonstrated that the collective nuclear level density is essential to reduce the uncertainty between the deformation parameter and the optical model parameters. Furthermore, it is shown that the first excited state of both the projectile and the target must be considered in calculations 6He + 9Be scattering at increasing energies.
Funding source: Türkiye Bilimsel ve Teknolojik Araştirma Kurumu
Award Identifier / Grant number: 112T566
Acknowledgment
Turkish Science and Research Council (TUBITAK).
-
Research ethics: Not applicable.
-
Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission. Bora Canbula: Supervision, Methodology, Software. Deniz Canbula: Writing – Original Draft Preparation. Halil Babacan: Investigation.
-
Competing interests: The authors state no conflict of interest.
-
Research funding: TUBITAK Grant Number: 112T566.
-
Data availability: Not applicable.
References
Bang, J.M., Danilin, B.V., Efros, V.D., Vaagen, J.S., Zhukov, M.V., and Thompson, I.J. (1996). Few-body aspects of Borromean halo nuclei. The Russian-Nordic-British Theory (RNBT) Collaboration. Phys. Rep. 264: 27, https://doi.org/10.1016/0370-1573(95)00024-0.Search in Google Scholar
Bartel, J., Pomorski, K., and Nerlo-Pomorska, B. (2006). Nuclear level density at finite temperatures. Int. J. Mod. Phys. E 15: 478, https://doi.org/10.1142/S0218301306004399.Search in Google Scholar
Bethe, H.A. (1937). Nuclear physics B. Nuclear dynamics, theoretical. Rev. Mod. Phys. 9: 69, https://doi.org/10.1103/RevModPhys.9.69.Search in Google Scholar
Bohr, A.N. and Mottelson, B.R. (1988). Nuclear structure (in 2 volumes). World Scientific Publishing Company, London, UK.Search in Google Scholar
Brack, M. and Bhaduri, R.K. (2018). Semiclassical physics. CRC Press, New York, USA.10.1201/9780429502828Search in Google Scholar
Canbula, B. and Babacan, H. (2011). Calculation of the level density parameter using semi-classical approach. Nucl. Phys. A 858: 32, https://doi.org/10.1016/j.nuclphysa.2011.03.009.Search in Google Scholar
Canbula, B., Bulur, R., Canbula, D., and Babacan, H. (2014a). A Laplace-like formula for the energy dependence of the nuclear level density parameter. Nucl. Phys. A 929: 54, https://doi.org/10.1016/j.nuclphysa.2014.05.020.Search in Google Scholar
Canbula, B., Bulur, R., Canbula, D., and Babacan, H. (2014b). Effects of single-particle potentials on the level density parameter. Euro. Phys. J. A 50: 1, https://doi.org/10.1140/epja/i2014-14178-6.Search in Google Scholar
Ericson, T. (1960). The statistical model and nuclear level densities. Adv. Phys. 9: 425, https://doi.org/10.1080/00018736000101239.Search in Google Scholar
Harelinde, H. and Jensen, A.S. (1977). Lifetime and fission-probability estimates. Phys. Scripta 15: 225, https://doi.org/10.1088/0031-8949/15/4/003.Search in Google Scholar
Ignatyuk, A.V. (1983). Statistical properties of excited atomic nuclei. Ehnergoatomizdat, Moscow.Search in Google Scholar
Iljinov, A.S., Mebel, M.V., Bianchi, N., De Sanctis, E., Guaraldo, C., Lucherini, V., Muccifora, V., Polli, E., Reolon, A.R., and Rossi, P. (1992). Phenomenological statistical analysis of level densities, decay widths and lifetimes of excited nuclei. Nucl. Phys. A 543: 517, https://doi.org/10.1016/0375-9474(92)90278-R.Search in Google Scholar
Krane, K.S. (1987). Nuclear physics. Wiley-VCH, New Jersey, USA.Search in Google Scholar
Kucuk, Y.A., Boztosun, I., and Topel, T. (2009). Global optical potential for the elastic scattering of 6He at low energies. Phys. Rev. C 80: 054602, https://doi.org/10.1103/PhysRevC.80.054602.Search in Google Scholar
Lee, S., Son, Y., and Park, J. (2007). Mean-field theoretical structure of He and Be isotopes. J. Korean Phys. Soc. 51: 480, https://doi.org/10.3938/jkps.51.480.Search in Google Scholar
Mengoni, A. and Nakajima, Y. (1994). Fermi-gas model parametrization of nuclear level density. J Nucl. Sci. Tech. 31: 151, https://doi.org/10.1080/18811248.1994.9735131.Search in Google Scholar
Milin, M., Cherubini, S., Davinson, T., Di Pietro, A., Figuera, P., Miljanić, Đ., Musumarra, A., Ninane, A., Ostrowski, A., Pellegriti, M., et al.. (2004). The 6He scattering and reactions on 12C and cluster states of 14C. Nucl. Phys. A 730: 285, https://doi.org/10.1016/j.nuclphysa.2003.11.011.Search in Google Scholar
Myers, W.D. and Swiatecki, W.J. (1966). Nuclear masses and deformations. Nucl. Phys. 81: 1, https://doi.org/10.1016/0029-5582(66)90639-0.Search in Google Scholar
Nunes, F.M., Thompson, I.J., and Johnson, R.C. (1996). Core excitation in one neutron halo systems. Nucl. Phys. A 596: 171, https://doi.org/10.1016/0375-9474(95)00398-3.Search in Google Scholar
Pires, K.C., Lichtenthäler, R., Lépine-Szily, A., Guimarães, V., de Faria, P.N., Barioni, A., Mendes Junior, D.R., Morcelle, V., Pampa Condori, R., Morais, M.C., et al.. (2011). Experimental study of 6He+9Be elastic scattering at low energies. Phys. Rev. C 83: 064603, https://doi.org/10.1103/PhysRevC.83.064603.Search in Google Scholar
Rowe, D.J. (1970). Nuclear collective motion. Methuen and Co. Ltd., London, p. 211.Search in Google Scholar
Ring, P. and Schuck, P. (1980). Nuclear many-body theory. Springer-Verlag, New York.Search in Google Scholar
Siegbahn, K. (1965). Alpha-beta-and gamma-ray spectroscopy, Vol. 2. North-Holland Publ, Amsterdam.10.1063/1.3046965Search in Google Scholar
Salasnich, L. (2000). Ideal quantum gases in D-dimensional space and power-law potentials. J. Mat. Phys. 41: 8016, https://doi.org/10.1063/1.1322078.Search in Google Scholar
Smalley, D., Sarazin, F., Nunes, F.M., Brown, B.A., Adsley, P., Al-Falou, H., Andreoiu, C., Baartman, B., Ball, G.C., Blackmon, J.C., et al.. (2014). Two-neutron transfer reaction mechanisms in 12C(6He,4He)14C using a realistic three-body 6He model. Phys. Rev. C 89: 024602, https://doi.org/10.1103/PhysRevC.89.024602.Search in Google Scholar
Suzuki, D., Shore, A., Mittig, W., Kolata, J.J., Bazin, D., Ford, M., Ahn, T., Becchetti, F.D., Beceiro Novo, S., Ben Ali, D., et al.. (2013). Resonant α scattering of 6He: limits of clustering in 10Be. Phys. Rev. C 87: 054301, https://doi.org/10.1103/PhysRevC.87.054301.Search in Google Scholar
Tanihata, I., Hamagaki, H., Hashimoto, O., Shida, Y., Yoshikawa, N., Sugimoto, K., Yamakawa, O., Kobayashi, T., and Takahashi, N. (1985a). Measurements of interaction cross sections and nuclear radii in the light p-shell region. Phys. Rev. Lett. 55: 2676, https://doi.org/10.1103/PhysRevLett.55.2676.Search in Google Scholar PubMed
Tanihata, I., Hamagaki, H., Hashimoto, O., Nagamiya, S., Shida, Y., Yoshikawa, N., Yamakawa, O., Sugimoto, K., Kobayashi, T., Greiner, D., et al.. (1985b). Measurements of interaction cross sections and radii of He isotopes. Phys. Lett. B 160: 380, https://doi.org/10.1016/0370-2693(85)90005-X.Search in Google Scholar
Vermeer, W.J., Esat, M.T., Kuehner, J.A., Spear, R.H., Baxter, A.M., and Hinds, S. (1983). Electric quadrupole moment of the first excited state of 12C. Phys. Lett. B 122: 23, https://doi.org/10.1016/0370-2693(83)91160-7.Search in Google Scholar
© 2023 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- CFD modeling of natural convection in pebble bed geometry with finite volume method
- Experimental investigation of heat transfer characteristics of inclined aluminium two phase closed thermosyphon
- Advances in triple tube heat exchangers regarding heat transfer characteristics of single and two-phase flows in comparison to double tube heat exchangers part 1
- Advances in triple tube heat exchangers regarding heat transfer characteristics of single and two-phase flows in comparison to double tube heat exchangers part 2
- Neutronic and thermal-hydraulic assessment of the TRR with new core designed based on tubular fuels
- A non-dominated discrete differential evolution for fuel loading pattern optimization of a nuclear research reactor
- CFD and machine learning based hybrid model for passive dilution of helium in a top ventilated compartment
- Optimization strategy for SAM in nuclear power plants based on NSGA-II
- Probing 6He induced reactions with nuclear level density
- An application for nonlinear heterogeneity-based isotherm models in characterization of niobium sorption on clay rocks and granite
- Calendar of events
Articles in the same Issue
- Frontmatter
- CFD modeling of natural convection in pebble bed geometry with finite volume method
- Experimental investigation of heat transfer characteristics of inclined aluminium two phase closed thermosyphon
- Advances in triple tube heat exchangers regarding heat transfer characteristics of single and two-phase flows in comparison to double tube heat exchangers part 1
- Advances in triple tube heat exchangers regarding heat transfer characteristics of single and two-phase flows in comparison to double tube heat exchangers part 2
- Neutronic and thermal-hydraulic assessment of the TRR with new core designed based on tubular fuels
- A non-dominated discrete differential evolution for fuel loading pattern optimization of a nuclear research reactor
- CFD and machine learning based hybrid model for passive dilution of helium in a top ventilated compartment
- Optimization strategy for SAM in nuclear power plants based on NSGA-II
- Probing 6He induced reactions with nuclear level density
- An application for nonlinear heterogeneity-based isotherm models in characterization of niobium sorption on clay rocks and granite
- Calendar of events
