Physics Journal
Articles Information
Physics Journal, Vol.1, No.2, Sep. 2015, Pub. Date: Jul. 20, 2015
The Group Theory as an Algebraic Approach for Prediction of Some Nuclear Structure Characteristics
Pages: 24-30 Views: 1934 Downloads: 884
[01] A. Abdel-Hafiez, Experimental Nuclear Physics Department, Nuclear Research Center.
An algebraic model depends upon the group theory emphasizes the coherent behavior of all of the nucleons. Among the kinds of collective motion that can occur in nuclei are rotations or vibrations that involve the entire nucleus. In this respect, the nuclear properties can be analyzed using the same description that is used to analyze the properties of a charged drop of liquid suspended in space. The algebraic collective model can thus be viewed as an extension of the liquid drop model, the algebraic collective model provides a good starting point for nuclear structure and then one could understand fission. For that purpose I have discussed and calculated some characteristics as the energy per particle, charge distribution, energy spectra for nuclei. Also, the collective potential-energy as a function of the internuclear distance and the potential as a function of the control parameter could be explained successfully as well.
Group Theory, Algebraic Collective Model, Nuclear Structure
[01] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, (Dover Publications, New York, 1968).
[02] D.J. Rowe, Nucl. Phys. A735, 372 (2004).
[03] D.J. Rowe, Nucl. Phys. A745, 47 (2004).
[04] D.J. Rowe and P.S. Turner, Nucl. Phys. A753, 94 (2005).
[05] D.J. Rowe, J. Phys. A: Math. Gen. 38, 10181 (2005).
[06] D.J. Rowe, T.A. Welsh, and M.A. Caprio, Phys. Rev. C79, 054304 (2009).
[07] D.J. Rowe and J.L. Wood, Fundamentals of Nuclear Models; Foundational Models (World Scientific, Singapore, 2010).
[08] A. Bohr and B.R. Mottelson, Nuclear Structure Vol. 1: 1969, Vol. 2: 1975 (Benjamin, New York and Reading, Mass.; republished by World Scientific, Singapore, 1998).
[09] A. Bohr, Mat. Fys. Medd. Dan. Vid. Selsk. 26, no. 14 (1952).
[10] D.J. Rowe, P.S. Turner, and J. Repka, J. Math. Phys. 45, 2761 (2004).
[11] M.A. Caprio, D.J. Rowe and T.A. Welsh, Comput. Phys. Commun. 180, 054304 (2009).
[12] J. Cizek and J. Paldus, Int. J. Quant. Chem., XII, 875 (1977).
[13] T.H. Cooke and J.L. Wood, Am. J. Phys. 70, 945 (2002).
[14] A.R. Edmonds, Angular Momentum in Quantum Mechanics, 2nd ed. (Princeton University Press, New Jersey, 1960).
[15] C.L. Jiang et al, Phys. Rev. Lett. 110, 072701 (2013).
[16] E. Cha´con, M. Moshinsky and R.T. Sharp, J. Math. Phys. 17, 668 (1976); E. Cha´con and M. Moshinsky, J. Math. Phys.18, 870 (1977).
[17] J.M. Eisenberg and W. Greiner, Nuclear Models, 3rd ed. (North-Holland, Amsterdam, 1987).
[18] P.O. Hess, J. Maruhn and W. Greiner, J. Phys. G7, 737 (1981); D. Troltenier, J.A. Maruhn and P.O. Hess, in: Computational Nuclear Physics 1, eds. K. Langanke, J.A. Maruhn and S.E. Koonin (Springer, Berlin, 1991).
[19] D. J. Rowe, Prog. Part. Nucl. Phys. 37 (1996), 265.
[20] Peter Shipley Turner, The Algebraic Collective Nuclear Model and SO(5), Ph. D. thesis, Graduate Department of Physics University of Toronto, 2005.
[21] D. Vautherin and D.M. Brink, “Hartree-Fock Calculations with Skyrme’s Interaction. I. Spherical Nuclei”, Phys. Rev. C 5, 626 (1972)
MA 02210, USA
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - American Institute of Science except certain content provided by third parties.