Algebraic Coupled-Channels Formalism for Heavy Ions near the Coulomb Barrier

  • R. Lichtenthäler Filho
  • M. Vaccari
  • A. Ventura
  • L. Zuffi
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 488)


The algebraic coupled-channels formalism based on SO(3,1) symmetry, originally proposed by Alhassid and Iachello (1989) for the description of heavy-ion reactions in the Fraunhofer diffraction regime, appears to be applicable also to reactions in the Fresnel regime, at the cost of some modifications, whose importance increases with decreasing energy and is crucial in the proximity of the Coulomb barrier.


Angular Momentum Inelastic Scattering Coulomb Barrier Nickel Isotope Threshold Anomaly 
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  1. Alhassid Y., Iachello F. (1989): Algebraic Approach to Heavy-Ion Reactions. Nucl. Phys. A 501, 585–604CrossRefGoogle Scholar
  2. Alonso C.E., Gallardo M.I., Lozano M., Vitturi A. (1992) Algebraic Description of Multistep Processes in Very-Heavy-Ion Reactions. Nucl. Phys. A 540, 261–274CrossRefGoogle Scholar
  3. Broglia R. A., Winther A. (1991): Heavy Ion Reactions. ( Addison-Wesley, New York )Google Scholar
  4. Chamon L. C., Pereira D., Rossi Jr E. S., Silva C. P., Dias H., Losano L., Ceneviva C.A.P. (1996): Isotopic dependence of the ion-ion potential in the Systems. Nucl. Phys. A 597, 253–268CrossRefGoogle Scholar
  5. Cseh J. (1996): Algebraic Scattering Theory and Light Heavy-Ion Reactions. these ProceedingsGoogle Scholar
  6. Esbensen H., Landowne S., Price C. (1987): Comment on “Reduction of Coupled Equations for Heavy Ion Reactions”. Phys. Rev. C 36, 1216–1217ADSGoogle Scholar
  7. Iachello F., Van Isacker P. (1991): The Interacting Boson-Fermion Model. ( Cambridge University Press, Cambridge )CrossRefGoogle Scholar
  8. Lévay P. (1995): Scattering Potentials with LS-Terms from First-Order Casimir Operators. J. Phys. A 28, 5919–5929ADSMATHMathSciNetGoogle Scholar
  9. Lévay P. and Apagyi B. (1995): Modified Symmetry Generators Related to Solvable Scattering Problems. J. Math. Phys. 36, 6633–6646ADSCrossRefMATHMathSciNetGoogle Scholar
  10. Lichtenthäler Filho R., Villari A. C. C., Gomes L. C., Carrilho Soares P. (1991): An Algebraic Optical Potential for Heavy Ion Collisions. Phys. Lett. B 269, 49–53CrossRefGoogle Scholar
  11. Lichtenthäler Filho R., Ventura A., and Zuffi L. (1992): Spin Formalism in the Algebraic Scattering Theory for Heavy Ions. Phys. Rev. C 46, 707–710.ADSCrossRefMathSciNetGoogle Scholar
  12. Lichtenthäler R., Pereira D., Chamon L.C., Gomes L.C., Ventura A., Zuffi L. (1994): Second Order Effects in the Algebraic Potential for Havy-Ion Systems near the Coulomb Barrier. Phys. Rev. C 50, 3033–3036ADSCrossRefGoogle Scholar
  13. Lichtenthäler Filho R. (1994): The Algebraic Scattering theory and its Application to Heavy-Ion Reactions, in: Perspectives for the Interacting Boson Model, edited by R.F. Casten et al., 521–528 ( World Scientific, Singapore )Google Scholar
  14. Mahaux C., Ngô H., Satchler G.R., (1986): Causality and the Threshold Anomaly of the Nucleus-Nucleus Potential. Nucl. Phys. A 449, 354–394CrossRefGoogle Scholar
  15. Pereira D., Ramirez G., Sala O., Chamon L.C., Rocha C.A., Acquadro J.C., Tenreiro (1989): Effect of the Threshold Anomaly on the Fusion Cross Sections for the Systems. Phys. Lett. B 220, 347–350Google Scholar
  16. Raynal J. (1994): Notes on ECIS94. (unpublished)Google Scholar
  17. Satchler G.R. (1983): Direct Nuclear Reactions (Clarendon,Oxford)Google Scholar
  18. Tanimura O. (1987): Reduction of Coupled Equations for Heavy Ion Reactions. Phys. Rev. C 35, 1600–1602ADSGoogle Scholar
  19. Wu J. (1985): Group Theory Approach to Scattering(Ph. D. Thesis, Yale university, unpublished )Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • R. Lichtenthäler Filho
    • 1
  • M. Vaccari
    • 2
  • A. Ventura
    • 3
    • 4
  • L. Zuffi
    • 5
    • 6
  1. 1.Instituto de FísicaUniversidade de São PauloSão PauloBrazil
  2. 2.Dipartimento Innovazione, Divisione Fisica ApplicataENEABolognaItaly
  3. 3.Dipartimento Energia, Centro Dati NucleariENEABolognaItaly
  4. 4.Sezione di FirenzeINFNItaly
  5. 5.Dipartimento di FisicaUniversità di MilanoMilanoItaly
  6. 6.Sezione di MilanoINFNMilanoItaly

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