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Probing 6He induced reactions with nuclear level density

  • Deniz Canbula ORCID logo EMAIL logo , Bora Canbula und Halil Babacan
Veröffentlicht/Copyright: 10. November 2023
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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.


Corresponding author: Deniz Canbula, Department of Alternative Energy Resources Technology, Manisa Technical Sciences Vocational School, Manisa Celal Bayar University, Manisa, Türkiye, E-mail:

Award Identifier / Grant number: 112T566

Acknowledgment

Turkish Science and Research Council (TUBITAK).

  1. Research ethics: Not applicable.

  2. 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.

  3. Competing interests: The authors state no conflict of interest.

  4. Research funding: TUBITAK Grant Number: 112T566.

  5. 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.Suche 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.Suche 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.Suche in Google Scholar

Bohr, A.N. and Mottelson, B.R. (1988). Nuclear structure (in 2 volumes). World Scientific Publishing Company, London, UK.Suche in Google Scholar

Brack, M. and Bhaduri, R.K. (2018). Semiclassical physics. CRC Press, New York, USA.10.1201/9780429502828Suche 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.Suche 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.Suche 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.Suche in Google Scholar

Ericson, T. (1960). The statistical model and nuclear level densities. Adv. Phys. 9: 425, https://doi.org/10.1080/00018736000101239.Suche 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.Suche in Google Scholar

Ignatyuk, A.V. (1983). Statistical properties of excited atomic nuclei. Ehnergoatomizdat, Moscow.Suche 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.Suche in Google Scholar

Krane, K.S. (1987). Nuclear physics. Wiley-VCH, New Jersey, USA.Suche 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.Suche 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.Suche 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.Suche 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.Suche 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.Suche 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.Suche 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.Suche in Google Scholar

Rowe, D.J. (1970). Nuclear collective motion. Methuen and Co. Ltd., London, p. 211.Suche in Google Scholar

Ring, P. and Schuck, P. (1980). Nuclear many-body theory. Springer-Verlag, New York.Suche in Google Scholar

Siegbahn, K. (1965). Alpha-beta-and gamma-ray spectroscopy, Vol. 2. North-Holland Publ, Amsterdam.10.1063/1.3046965Suche 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.Suche 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.Suche 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.Suche 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.Suche 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.Suche 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.Suche in Google Scholar

Received: 2023-07-10
Published Online: 2023-11-10
Published in Print: 2023-12-15

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