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Author(s)
     Alexei M. Frolov
Title
     High-precision, variational, bound-state calculations in Coulomb three-body systems
Publication Name
     Physical Review E
Publication Type
     Journal
Publisher
     
Place
     
Editor(s)
     
Number
     
School
     
Volume
      62
Chapter
     
Pages
      8740 - 8745
Other Publication Information
     
Publication Year
     2000
Abstract
     The present study contains high-precision variational results for a number of bound states in various Coulomb three-body systems. In particular, we discuss the bound-state properties for the 23S state of the ?He atom, the bound S(L=0) and P(L=1) states in symmetric muonic molecular ions, and ground states in the 3He2+?-e- and 4He2+?-e- atoms. The accuracy achieved for the total energies in these systems is significantly higher than known from the previous works. These results have been obtained by using a package of fortran programs and a pretranslator written by D.H. Bailey from NASA [D.H. Bailey, ACM Trans. Math. Softw. 21, 379 (1995)]. This multiprecision fortran package can completely eliminate all problems related to numerical instabilities at large dimensions, which are crucial for high-precision, bound-state calculations in few-body systems. In fact, the multiprecision fortran programs open another avenue in the study of bound states in few-body systems.
Keywords
     
Website
     http://link.aps.org/abstract/PRE/v62/p8740
Paper Status
     Published
DOI / Publication ID
     



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