Chinese Physics C > 2009, Vol. 33 > Issue(3): 191-196 DOI: 10.1088/1674-1137/33/3/006

An improved variational method

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In order to improve the unitarity of theS-matrix, an improved variational formulism is derived by proposing new generating functionals and adopting proper asymptotic boundary conditions for trial relative wave functions. The formulas with the weighted line-column balance for the single-channel and multi-channel scatterings, where the non-central interaction is implicitly considered, are presented. A numerical check is performed with a soluble model in a four coupled channel scattering problem. The result shows that the high accuracy and the unitarity of theS-matrix are reached.

References

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ZENG Zhuo-Quan, SHEN Peng-Nian and DING Yi-Bing. An improved variational method[J]. Chinese Physics C, 2009, 33(3): 191-196. doi: 10.1088/1674-1137/33/3/006

ZENG Zhuo-Quan, SHEN Peng-Nian and DING Yi-Bing. An improved variational method[J]. Chinese Physics C, 2009, 33(3): 191-196. doi:10.1088/1674-1137/33/3/006 shu

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Received: 2008-05-28
Revised: 2008-10-24

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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

An improved variational method

Corresponding author:SHEN Peng-Nian,

Received Date:2008-05-28

Accepted Date:2008-10-24

Available Online:2009-03-05

Abstract:

In order to improve the unitarity of theS-matrix, an improved variational formulism is derived by proposing new generating functionals and adopting proper asymptotic boundary conditions for trial relative wave functions. The formulas with the weighted line-column balance for the single-channel and multi-channel scatterings, where the non-central interaction is implicitly considered, are presented. A numerical check is performed with a soluble model in a four coupled channel scattering problem. The result shows that the high accuracy and the unitarity of theS-matrix are reached.

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An improved variational method

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通讯作者:陈斌, bchen63@163.com

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