Il Nuovo Cimento B (1971-1996)

, Volume 105, Issue 4, pp 459–468 | Cite as

About the boundary conditions for the three-body scattering problem in the adiabatic representation

  • L. Bracci
  • C. Chiccoli
  • P. Pasini
  • G. Fiorentini
  • V. S. Melezhik
  • J. Wozniak


We investigate the asymptotic behaviour of the wave function of a three-particle Coulomb system (a, b, c; Ma≥Mb>mc) in the adiabatic representation. We evaluate the effect of the basis truncation on its asymptotic dependence on the slow variableR (the coordinate of relative motion of nucleia andb) in the region of break-up of the three-body system into subsystems (ac)1s+b anda+(bc)1s. A procedure for taking into account the truncation of the basis is presented, which is shown to converge in the case of the scattering problem.


PACS 03.80 General theory of scattering 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    N. F. Mott andS. N. Massey:Theory of Atomic Collisions, 3rd edition (Oxford University Press, London and New York, N.Y., 1965).Google Scholar
  2. [2]
    J. B. Delos:Rev. Mod. Phys.,53, 287 (1981).ADSCrossRefMATHGoogle Scholar
  3. [3]
    S. I. Vinitsky andL. I. Ponomarev:Sov. J. Part. Nucl.,13, 557 (1982).MATHGoogle Scholar
  4. [4]
    L. I. Ponomarev:Atomic Physics, Vol.10, edited byH. Narumi andI. Shimamura (Elsevier Science Publishers B.V., Amsterdam, 1987).Google Scholar
  5. [5]
    V. S. Melezhik:Muon Catal. Fusion,2, 117 (1988).Google Scholar
  6. [6]a)
    L. I. Ponomarev andS. I. Vinitsky:J. Phys. B,12, 567 (1979);b)L. I. Ponomarev et al.: J. Phys. B,13, 567 (1980);14, 591 (1981).ADSCrossRefMATHGoogle Scholar
  7. [7]
    S. I. Vinitsky, V. S. Melezhik andL. I. Ponomarev:Sov. J. Nucl. Phys.,36, 272 (1982);Ž. Eksp. Teor. Fiz.,55, 400 (1982).Google Scholar
  8. [8]
    V. S. Melezhik, L. I. Ponomarev andM. P. Faifman:Ž. Eksp. Teor. Fiz.,58, 254 (1983).Google Scholar
  9. [9]
    V. S. Melezhik:J. Comput. Phys.,65, 1 (1986).ADSCrossRefMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1990

Authors and Affiliations

  • L. Bracci
    • 1
    • 2
  • C. Chiccoli
    • 3
    • 4
  • P. Pasini
    • 3
    • 4
  • G. Fiorentini
    • 5
    • 6
  • V. S. Melezhik
    • 7
  • J. Wozniak
    • 8
  1. 1.Dipartimento di Fisica dell'UniversitàPisa
  2. 2.Sezione di PisaINFNItalia
  3. 3.Sezione di BolognaINFNBolognaItaly
  4. 4.C.N.A.F.BolognaItalia
  5. 5.Dipartimento di Fisica dell'UniversitàCagliari
  6. 6.Sezione di CagliariINFNItalia
  7. 7.Joint Institute for Nuclear ResearchDubnaUSSR
  8. 8.Institute of Physics and Nuclear TechniquesCracowPoland

Personalised recommendations