Ground State Characteristics of the Light Nuclei with A≤6 on the Basis of the Translation Invariant Shell Model by Using Nucleon-Nucleon Interactions

  • Phenomenological nucleon-nucleon interactions consisting of central,tensor,spin-orbit and quadratic spin-orbit terms,with Gaussian radial dependence,are constructed by varying their parameters in order to obtain the best fit between the calculated and the experimental values of the binding energy,the root mean-square radius,the D-state probability,the magnetic dipole moment and the electric quadrupole moment of deuteron. The ground-state nuclear wave function of deuteron is expanded in terms of the translation invariant shell model basis functions corresponding to the number of quanta of excitation 0≤N≤10. Moreover,the binding energy,the root mean-square radius and the magnetic dipole moment of the nuclei 3H,4He,5He and 6Li are also calculated by using the new interactions. The wave functions of these nuclei are expanded in terms of the basis functions of the translation-invariant shell model with N=10 for the first two nuclei, N=7 for 5He and N=6 for 6Li. Furthermore,the role of the three body force is investigated for the triton nucleus. The obtained results are in good agreement with the corresponding experimental values.
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  • [1] Talmi I. Simple Models of Complex Nuclei. The Shell Model and Interacting Boson Model. USA: Harwood Academic Publisher,19932 Hackenbroich H H,Heiss P. Z.Phys.,1970,231:2253 Bargman V,Moshinsky M. Nucl. Phys.,1960,18:697;1961,23:1774 Kretzchmar M. Z.Phys.,1960,158:2845 Vanagas V V. Algebraic Methods In Nuclear Theory. Minds, Vilnius,19716 Doma S B,EI-Nohy N A,Gharib K K. Helvetica Phys. Acta,1996,69:907 Doma S B, Gharib K K, EI-Nohy N A. Egypt.J.Phys.,1996,27:558 Doma S B .Helvetica Ph}s. Acta, 1985,58:10729 Doma S B. Ukrainian Journal of Phys.,1997,42(3):27910 Doma S B, Gharib K K,E1-Nohy N A. Egypt.J.Phys.,1998,29:32311 Lederer L K. Diplomarbeit, Munchen, 195712 along Samuel S M. Introductory Nuclear Physics. Englewood Cliffs,New Jersy:Prentics Hall,199013 Sprung D W L, Van Dijk W et al. Phys. Rev.,1994,C4:294214 ZHENG D C,Vary J P, Barren B R. Phys.Rev.,1994,C50:284115 Beiner M, Flocard H, Van Giai N et al. Nucl. Phys.,1975 , A238
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S.B.Doma. Ground State Characteristics of the Light Nuclei with A≤6 on the Basis of the Translation Invariant Shell Model by Using Nucleon-Nucleon Interactions[J]. Chinese Physics C, 2002, 26(9): 941-948.
S.B.Doma. Ground State Characteristics of the Light Nuclei with A≤6 on the Basis of the Translation Invariant Shell Model by Using Nucleon-Nucleon Interactions[J]. Chinese Physics C, 2002, 26(9): 941-948. shu
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Received: 2001-12-19
Revised: 1900-01-01
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Ground State Characteristics of the Light Nuclei with A≤6 on the Basis of the Translation Invariant Shell Model by Using Nucleon-Nucleon Interactions

    Corresponding author: S.B.Doma,
  • Mathematics Department,Alexandria University,Alexandria,Egypt

Abstract: Phenomenological nucleon-nucleon interactions consisting of central,tensor,spin-orbit and quadratic spin-orbit terms,with Gaussian radial dependence,are constructed by varying their parameters in order to obtain the best fit between the calculated and the experimental values of the binding energy,the root mean-square radius,the D-state probability,the magnetic dipole moment and the electric quadrupole moment of deuteron. The ground-state nuclear wave function of deuteron is expanded in terms of the translation invariant shell model basis functions corresponding to the number of quanta of excitation 0≤N≤10. Moreover,the binding energy,the root mean-square radius and the magnetic dipole moment of the nuclei 3H,4He,5He and 6Li are also calculated by using the new interactions. The wave functions of these nuclei are expanded in terms of the basis functions of the translation-invariant shell model with N=10 for the first two nuclei, N=7 for 5He and N=6 for 6Li. Furthermore,the role of the three body force is investigated for the triton nucleus. The obtained results are in good agreement with the corresponding experimental values.

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