Accurate evaluation of the S-matrix for multi-channel analytic and non-analytic potentials in complex L2 bases

H. A. Yamani; M. S. Abdelmonem

doi:10.1007/978-1-4020-6073-1_5

Accurate evaluation of the S-matrix for multi-channel analytic and non-analytic potentials in complex L² bases

H. A. Yamani^*
, M. S. Abdelmonem

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We describe an efficient and accurate scheme to compute the S-matrix elements for a given multi-channel analytic and non-analytic potentials in complex-scaled orthonormal Laguerre or oscillator bases using the J-matrix method. As examples of the utilization of the scheme, we evaluate the cross section of two-channel square wells in an oscillator basis and find the resonance position for the same potential using the Laguerre basis. We also find resonance positions of a two-channel analytic potential for several angular momenta ℓ using both bases. Additionally, we evaluate the effect of including the Coulomb term (z/r) when employing the Laguerre basis.

Original language	English
Title of host publication	The J-Matrix Method
Subtitle of host publication	Developments and Applications
Publisher	Springer Netherlands
Pages	83-102
Number of pages	20
ISBN (Print)	9781402060724
DOIs	https://doi.org/10.1007/978-1-4020-6073-1_5
State	Published - 2008

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1007/978-1-4020-6073-1_5

Cite this

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title = "Accurate evaluation of the S-matrix for multi-channel analytic and non-analytic potentials in complex L2 bases",

abstract = "We describe an efficient and accurate scheme to compute the S-matrix elements for a given multi-channel analytic and non-analytic potentials in complex-scaled orthonormal Laguerre or oscillator bases using the J-matrix method. As examples of the utilization of the scheme, we evaluate the cross section of two-channel square wells in an oscillator basis and find the resonance position for the same potential using the Laguerre basis. We also find resonance positions of a two-channel analytic potential for several angular momenta ℓ using both bases. Additionally, we evaluate the effect of including the Coulomb term (z/r) when employing the Laguerre basis.",

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N2 - We describe an efficient and accurate scheme to compute the S-matrix elements for a given multi-channel analytic and non-analytic potentials in complex-scaled orthonormal Laguerre or oscillator bases using the J-matrix method. As examples of the utilization of the scheme, we evaluate the cross section of two-channel square wells in an oscillator basis and find the resonance position for the same potential using the Laguerre basis. We also find resonance positions of a two-channel analytic potential for several angular momenta ℓ using both bases. Additionally, we evaluate the effect of including the Coulomb term (z/r) when employing the Laguerre basis.

AB - We describe an efficient and accurate scheme to compute the S-matrix elements for a given multi-channel analytic and non-analytic potentials in complex-scaled orthonormal Laguerre or oscillator bases using the J-matrix method. As examples of the utilization of the scheme, we evaluate the cross section of two-channel square wells in an oscillator basis and find the resonance position for the same potential using the Laguerre basis. We also find resonance positions of a two-channel analytic potential for several angular momenta ℓ using both bases. Additionally, we evaluate the effect of including the Coulomb term (z/r) when employing the Laguerre basis.

UR - https://www.scopus.com/pages/publications/84891465890

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BT - The J-Matrix Method

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