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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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
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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

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.

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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

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