Finite-difference boundary-value method for determination of resonance widths in atomic collisions

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Abstract

A new quantum mechanical procedure, using the finite-difference boundary-value method and an equation derived by Hazi and Taylor for the stabilization method, is proposed for finding the widths or lifetimes of resonance states in atomic collisions. Numerical illustrations are presented.

Original languageEnglish (US)
Pages (from-to)377-380
Number of pages4
JournalChemical Physics Letters
Volume26
Issue number3
DOIs
StatePublished - Jun 1 1974

Bibliographical note

Funding Information:
*This research is supported in part by the National Sci- tain the stabilized root 15’ãnd its derivative dei[drc’ exe Foundationthrough $&SFgrantno. GP-28684. from a series of cahxdations with different numbers Alfred P. Sloan Research Fellow_ of basis functions and then solve (2) or @).for the -:._ .. ,I The collision life&x Q at the reso&nce:energy and the .I . half-life for decay T z+erelatedto the widthr by Q =-., “,:,, ~27.=.2ElP ]I]. Not&that Smith [I] uses r to denote the’ ihere isa‘&@ errok between the terms of e+ 6) ?f : :- ha@Wdth but that in &is a&cle we fovow the more ref. f17 f; Also tide &ninaebove iheir eq. (25) should read .’ usual practice. ;:.. -_ ._ “Eqk(21) ,. anti (24) r&due, : to”-., . ‘. ::-: -.: :‘,;‘:jj7:. -.:;. ; .‘! ,i,:;

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