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

S.B.Doma

Chinese Physics C> 2002, Vol. 26> Issue(9) : 941-948

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

S.B.Doma ^,

Mathematics Department,Alexandria University,Alexandria,Egypt

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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.

References

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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.

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Received: 2001-12-19
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

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

S.B.Doma ^,

Corresponding author: S.B.Doma,

Mathematics Department,Alexandria University,Alexandria,Egypt

Received Date: 2001-12-19
Accepted Date: 1900-01-01
Available Online: 2002-09-05

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.