Skyrme-Extended-Thomas-Fermi Approach Method In Investigation of Nuclear Ground State Properties of 208Pb
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Abstract
In this research, it is performed the nuclear ground state properties investigation of 208Pb by using the SETF method with SLy4 set parameters. The energy optimization calculation is performed using SETFA code. The SETFA results are in good agreement with the related experiment results, and also with the results of the HFBRAD and HFODD- HFBTHO codes. It is can be indicated that Skyrme-Extended-Thomas-Fermi method can be used to explain the nuclear ground state properties, especially even-stable nucleus.
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Yulianto, Y., & Su’ud, Z. (2016). Skyrme-Extended-Thomas-Fermi Approach Method In Investigation of Nuclear Ground State Properties of 208Pb. Indonesian Journal of Physics, 27(1), 27 - 33. https://doi.org/10.5614/itb.ijp.2016.27.1.5
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References
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[2] J. Bartel and K. Bencheikh, Nuclear mean fields through self-consistent semi classical calculations, Eur. Phys. J. A 14, 179, 2002.
[3] V. Denisov and V. Nesterov, Distribution of density and potential of nuclear interaction, Ukr. J. Phys. 51 (5), 440, 2006. [4] A. Baran, K. Pomorski, and J. Bartel, Extended Thomas-Fermi estimates of single particle potentials for doubly magic and super heavy nuclei, Ann. Univ. Marie Curie 57 (2), 23, 2002.
[5] A. Dobrowolski, K. Pomorski, and J. Bartel, Mean-field description of fusion barriers with Skyrme’s interaction, Nucl. Phys. A 729, 713, 2003.
[6] P . Ring and P . Shuck, The nuclear many body problem, Springer, Berlin, 149, 1980. [7] K. Bennaceur and J. Dobaczewski, Coordinate-space solution of the Skyrme- Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.00), Comp. Phys. Communications 168, 96, 2005.
[8] T.H.R. Skyrme, The effective nuclear potential, Nucl. Phys. 9, 615, 1959.
[9] D. Vautherin and D.M. Brink, Hartree- Fock Calculation with Skyrme’s interaction I. Spherical nuclei, Phys. Rev. C 5, 626, 1972.
[10] E. Chabanat, et al., A Skyrme parametrization from subnuclear to neutron star densities, Nucl. Phys. A 627, 710, 1997.
[11] H.Q. Gu, et al., Slater approximation for Coulomb exchange effects in nuclear covariant density functional theory, Phys. Rev. C 87, 041301, 2013.
[12] F. Aymard, F. Gulminelli, and J. Margueron, In-medium nuclear cluster energies within the Extended Thomas- Fermi approach, Phys. Rev. C 89, 065807, 2014.
[13] V. Denisov and V. Nesterov, Distribution of nucleus-nucleus potential and difuseness of density distribution in nuclei, Ukr. J. Phys. UDC 539.17, 108, 2006.
[14] N. Schunck, et al., Solution of the Skyrme- Hartree-Fock-Bogolyubov equations in the cartesian deformed harmonic-oscillator basis. (VII) HFODD (v2.49t): A new version of the Program, Comp. Phys. Communications 183, 166, 2012.
[15] M. Wang et al., The AME2012 atomic mass evolution (II). Tables, graphs and references, Chinese Physics. C 36, 1603, 2012.
[16] M. Bender, P.H. Heenen, and P.G. Reinhard, Self-consistent mean-field models for nuclear structure, Reviews of Modern Physics 75, 121, 2003.
[17] D.E. Ward, B.G. Carlsson, and S. Aberg, α-decay calculations of heavy nuclei using an effective Skyrme interaction, Phys. Rev. C 88, 064316, 2013.