Equivalent Twobody Method for Helium like Ions

LIN Qi-hu; REN Zhong-zhou; #

doi:10.11804/NuclPhysRev.26.03.231

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LIN Qi-hu, REN Zhong-zhou, #. Equivalent Twobody Method for Helium like Ions[J]. Nuclear Physics Review, 2009, 26(3): 231-237. doi: 10.11804/NuclPhysRev.26.03.231

Citation:

LIN Qi-hu, REN Zhong-zhou, #. Equivalent Twobody Method for Helium like Ions[J]. Nuclear Physics Review, 2009, 26(3): 231-237. doi: 10.11804/NuclPhysRev.26.03.231

Equivalent Twobody Method for Helium like Ions

doi: 10.11804/NuclPhysRev.26.03.231

(1 Department of Physics, Nanjing University, Nanjing 210008, China;2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Research 

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2009-09-20

Abstract

An extended equivalent twobody method for threebody systems is introduced in this article. The method is applied to an atomic threebody system. Energies and wave functions of a heliumlike ion are calculated，which are consistent with the experimental data much better，in contrast to the results obtained by a oneparameter calculus of variations approach. Then we use a twoparameter calculus of variations approach to verify the precision of the ground state energy and wave function obtained by the extended equivalent twobody method. These results indicated that the extended equivalent two body method is applicable to an atomic threebody problem.
- three body problem,
- equivalent two body method,
- calculus of variations,
- helium like ion
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Equivalent Twobody Method for Helium like Ions

doi: 10.11804/NuclPhysRev.26.03.231

(1 Department of Physics, Nanjing University, Nanjing 210008, China;2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Research 

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2009-09-20

Key words:

Abstract: An extended equivalent twobody method for threebody systems is introduced in this article. The method is applied to an atomic threebody system. Energies and wave functions of a heliumlike ion are calculated，which are consistent with the experimental data much better，in contrast to the results obtained by a oneparameter calculus of variations approach. Then we use a twoparameter calculus of variations approach to verify the precision of the ground state energy and wave function obtained by the extended equivalent twobody method. These results indicated that the extended equivalent two body method is applicable to an atomic threebody problem.

LIN Qi-hu, REN Zhong-zhou, #. Equivalent Twobody Method for Helium like Ions[J]. Nuclear Physics Review, 2009, 26(3): 231-237. doi: 10.11804/NuclPhysRev.26.03.231

Citation:

LIN Qi-hu, REN Zhong-zhou, #. Equivalent Twobody Method for Helium like Ions[J]. Nuclear Physics Review, 2009, 26(3): 231-237. doi: 10.11804/NuclPhysRev.26.03.231