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Charged-particle interactions in few-body systems

  • Part V - Few-Body Systems with Charged Particles and Calculation of Electromagnetic Observables
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Models and Methods in Few-Body Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 273))

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References

  • Aguiar C.E.M., Brinati J.R., and Martins M.H.P. (1986) Elastic scattering of deuteron in a three-body system with Coulomb interaction. Rio de Janeiro preprint.

    Google Scholar 

  • Alt E.O. (1986) The Coulomb force in few body reactions. In “Few-body methods”, Ed. by T.K. Lim et al. World Scientific, Singapore.

    Google Scholar 

  • Alt E.O. (1986) Calculation of proton-deuteron scattering observables in the screeening approach, and comparison with approximate treatments. Mainz Prepr. MZ-TH/86-15, Sept.

    Google Scholar 

  • Alt E.O., Grassberger P., and Sandhas W. (1967) Nucl. Phys. B 2:167.

    Google Scholar 

  • Alt E.O., Sandhas W., and Ziegelmann H. (1978) Coulomb effects in three-body reactions with two charged particles. Phys. Rev. C 17:1981–2005.

    Google Scholar 

  • Alt E.O., Sandhas W., and Ziegelmann H. (1985) Calculation of proton-deuteron phase parameters including the Coulomb force. Nucl. Phys. A 445:429–461.

    Google Scholar 

  • Amado R.D. and Adhikari S.K. (1972) Phys. Lett. B 40:11; (1972) Phys. Rev. C 6:1484.

    Google Scholar 

  • Amado R.D. and Noble J.V. (1971) Phys. Lett. B 35:25; (1972) Phys. Rev. D 5:1992.

    Google Scholar 

  • Badalyan A.M., Kok L.P., Polikarpov M.I., and Simonov Yu.A. (1982) Resonances in coupled channels in nuclear and particle physics. Phys. Rep. 82:31–177.

    Google Scholar 

  • Baltar V.L., Ferreira E.M., and Antunes A.C. (1976) Nucl. Phys. A 265:365.

    Google Scholar 

  • Balmer (1885) Wied. Ann. 25.

    Google Scholar 

  • Bencze G. and Chandler C. (1985) Coulomb polarization effects in low energy p-d elastic scattering. Albuquerque preprint.

    Google Scholar 

  • Bencze G., Chandler C, Friar J.L., Gibson A.G, and Payne G.L. (1986) Low energy scattering theory for Coulomb plus long-range potentials. Albuquerque preprint.

    Google Scholar 

  • Burke P.G. (1977) Potential scattering in atomic physics. Plenum Press, New York.

    Google Scholar 

  • Cajori F. (1946) Newton's Principia. Motte's translation revisited. University of California Press, Berkeley.

    Google Scholar 

  • Chandler C. (1986) The Coulomb problem in nonrelativistic scattering theory. In Proceedings Few-Body XI, Tokyo-Sendai.

    Google Scholar 

  • Cornille H. and Martin A. (1962) Nuovo Cim. 26:298–327.

    Google Scholar 

  • Coulomb C.A. (1785,1787) Memoires de l'Academie Royale des Sciences de l'Institut Imperiale de France. Paris, 1788, pp. 569–577,578–611.

    Google Scholar 

  • De Alfaro V. and Regge T. (1965) Potential Scattering. Wiley, New York.

    Google Scholar 

  • de Maag J.W. et al. (1984) Coulomb-modified scattering parameters for Coulomb-plusseparable potentials for all 1. J. Math. Phys. 25:684–692.

    Google Scholar 

  • Dollard J.D. (1964) J. Math. Phys. 5:729 and (1966) 7:802.

    Google Scholar 

  • Dollard J.D. (1971) Rocky Mtn. J. Math. 1:5 and (1972) 2:317.

    Google Scholar 

  • Dusek J. (1982) Czech. J. Phys. B 32:1325–1348 and (1983) J. Math. Phys. 24:2471-2480.

    Google Scholar 

  • Efimov V. (1970) Phys. Lett. B 33:563.

    Google Scholar 

  • Enns V. (1979) Comm. Math. Phys. 65:151.

    Google Scholar 

  • Faddeev L.D. (1969) In Three body problem. Ed. by J.S.C. McKee et al. NHPC, Amsterdam.

    Google Scholar 

  • Feynman R.P. (1985) “Surely You're Joking, Mr. Feynman!”. Norton & Co., New York.

    Google Scholar 

  • Gibson A.G. (1985) On low energy scattering theory with Coulomb potentials. Budapest preprint KFKI-1985-79.

    Google Scholar 

  • Gillmor C.S. (1971) Coulomb and the evolution of physics and engineering in eighteenthcentury France. Princeton University Press, Princeton. See part. pp. 182, 193, 232.

    Google Scholar 

  • Goodmanson D.M. and Taylor J.R. (1980)Coulomb scattering as the limit of scattering off smoothly screened Coulomb potentials. J. Math. Phys. 21:2202–2207.

    Google Scholar 

  • Gorshkov V.G. (1961) Zh. Eksp. Teor. Fiz. 40:1481–1491.

    Google Scholar 

  • Gradshteyn I.S. and Ryzhik I.M. (1980) Table of integrals, series, and products, corrected and enlarged edition. Academic Press, New York.

    Google Scholar 

  • Hamilton J. et al. (1973) Nucl. Phys. B60:443.

    Google Scholar 

  • Hormander L. (1976) The existence of wave operators in scattering theory. Math. Z. 146:69–91.

    Google Scholar 

  • Isozaki H. and Kitada H. (1985) J. Fac. Sci. Univ. Tokyo, Sec. IA, Math. 32:77.

    Google Scholar 

  • Kharchenko V.F. and Shadchin S.A. (1983) Kiev, preprint ITP-83-101E.

    Google Scholar 

  • Klaus M. and Simon B. (1980) Coupling constant thresholds in nonrelativistic quantum mechanics I. Short-range two-body case. Ann. Phys. (N.Y.) 130:251–281. (1980) II. Two-cluster thresholds in n-body systems. Commun. Math. Phys. 78:153-168.

    Google Scholar 

  • Koch J.H. et al. (1971) Phys.Rev. Lett. 26:1465.

    Google Scholar 

  • Kok L.P. (1980) Accurate determination of the ground-state level of the 2He nucleus. Phys. Rev. Lett. 45:427–430.

    Google Scholar 

  • Kok L.P. (1980) Coulomb level shifts by a complex Yamaguchi potential. Phys. Rev. C 22:2404–2408.

    Google Scholar 

  • L.P. Kok (1985) Few-body problem with Coulomb interactions. In Few-Body problems in Physics. Ed. by L.D. Faddeev et al. World Scientific, Singapore.

    Google Scholar 

  • Kok L.P., Struik D.J., and van Haeringen H. (1979) On the exact solution of threeparticle equations with Coulomb interaction I. The driving terms. Report 151, University of Groningen, 40 p. Available upon request.

    Google Scholar 

  • Kok L.P., Struik D.J., Holwerda J.E., and van Haeringen H. (1981) On the exact solution of three-particle equations with Coulomb interaction II. Bound states. Report 170, University of Groningen, 48 p. Available upon request.

    Google Scholar 

  • Kok L.P. and van Haeringen H. (1980) Off-shell Coulomb T matrix in connection with the exact solution of three-particle equations with Coulomb interaction. Phys. Rev. C 21:512–517.

    Google Scholar 

  • Kok L.P. and van Haeringen H. (1982) Bound state solution in momentum space of threeparticle equations with Coulomb interaction. Czech. J. Phys. B 32:311–315.

    Google Scholar 

  • Kostelecky V.A. and Nieto M.M. (1985) Analytical wave functions for atomic quantumdefect theory. Phys. Rev. A 32:3243–3246.

    Google Scholar 

  • Krell, M. (1971) Phys. Rev. Lett. 26:584.

    Google Scholar 

  • Kroeger H., Nachabe A.M., and Slobodrian R.J. (1986) Phys. Rev. C 33:1208.

    Google Scholar 

  • Kroeger H. and Slobodrian R.J. (1984) Phys. Rev. C 30:1390.

    Google Scholar 

  • Kuperin Yu.A., Kvitsinsky A.A., and Merkuriev S.P. (1985) Low energy scattering of three charged particles. Barcelona preprint FT-FP-5-85.

    Google Scholar 

  • Kuzmichev V.E. and Zepelova M.L. (1985) in Proc. Eur. Few-Body X (CRIP, Budapest) 91–93.

    Google Scholar 

  • Kvitsinskii A.A., Komarov I.V., and Merkuriev S.P. (1983) Singularities of the scattering amplitude for slowly decreasing potentials. Yad. Fiz. 38:101–114.

    Google Scholar 

  • Kvitsinskii A.A. and Merkuriev S.P. (1985) In Few-Body problems in Physics. Ed. by L.D. Faddeev et al. World Scientific, Singapore.

    Google Scholar 

  • Kvitsinsky A.A. and Merkuriev S.P. (1985) Polarization potential and low-energy characteristics of pd scattering. Yad. Fiz. 41:647–654.

    Google Scholar 

  • Kvitsinsky A.A. (1985) Low energy scattering for potentials including power-type terms in addition to the Coulomb interaction. Teor. Mat. Fiz. 65:226–237.

    Google Scholar 

  • Laverne A. and Cignoux C. (1973) Nucl. Phys. A 203:597.

    Google Scholar 

  • Lehman D.R., Eskandarian A., Gibson B.F., and Maximon L.C. (1984) Momentum-space solution of a bound-state nuclear three-body problem with two charged particles. Phys. Rev. C 29:1450–1460.

    Google Scholar 

  • McVoy K.W. (1967) Collision theory. In Fundamentals in nuclear theory. Ed. by A. DeShalit and C. Villi. IAEA, Vienna.

    Google Scholar 

  • Merkuriev S.P. (1980) Ann. Phys. (N.Y.) 130:395.

    Google Scholar 

  • Merkuriev S.P. (1981) Three-body Coulomb scattering. Acta Phys. Austriaca Suppl. 23:65–110.

    Google Scholar 

  • Mitra A.N. (1962) Nucl. Phys. 32:529.

    Google Scholar 

  • Moeller K. (1977,1978) Z.f.K. Dresden, Internal reports 327,351,357,377.

    Google Scholar 

  • Motte A. (1729) Sir Isaac Newton's Mathematical Principles of Natural Philosophy and his system of the world. [Translation from Latin into English of the third edition (1726) of Newton (1687).]

    Google Scholar 

  • Mulherin D. and Zinnes I.I. (1970) J. Math. Phys. 11:1402.

    Google Scholar 

  • Newton I.S. (1687) Philosophiae Naturalis Principia Mathematica. Printed by J. Streater, for the Royal Society, London.

    Google Scholar 

  • Newton R.G. (1982) Scattering Theory of Waves and Particles. 2nd Ed. Springer, New York.

    Google Scholar 

  • Noyes H.P. (1970) In Three body problem. Ed. by J.S.C. McKee et al. NHPC, Amsterdam.

    Google Scholar 

  • Nussenzweig H.M. (1959) The poles of the S-matrix of a rectangular potential well or barrier. Nucl. Phys. 11, 499–521.

    Google Scholar 

  • Okubo S. and Feldman D. (1960) Phys. Rev. 117:279–291;292-306.

    Google Scholar 

  • O'Malley T.F. et al. (1961) Modification of effective-range theory in the presence of a long-range (r-4) potential. J. Math. Phys. 2:491–498.

    Google Scholar 

  • Oppenheim Berger R. and Spruch L. (1965) Phys. Rev. 138:B1106–B1115.

    Google Scholar 

  • Pauli W. (1926) Z. Phys. 36:336–363.

    Google Scholar 

  • Payne G.L. et al. (1980) Phys. Rev. C 22:823–831;832-841.

    Google Scholar 

  • Reed M. and Simon B. (1972) Methods of Modern Mathematical Physics. Academic Press, New York. Vol. I: Functional Analysis. (1975) Vol. II: Fourier Analysis, Self-Adjointness (1978) Vol. IV: Analysis of Operators. (1979) Vol. III: Scattering Theory.

    Google Scholar 

  • Schroedinger E. (1926) Ann. Phys. (Leipzig) 79:361–376;489-527;734-756, 80:437-490, 81:109-139.

    Google Scholar 

  • Schwinger W. et al. (1983) Phys. Rev. C 27:515–522; 28:1414-1416.

    Google Scholar 

  • Schwinger J. (1964) Coulomb Green's function. J. Math, Phys. 5:1606–1608.

    Google Scholar 

  • Seaton M.J. (1955) Comp. Rend. 240:1317; (1958) Mon. Not., R. Astron. Soc. 118:504.

    Google Scholar 

  • Seaton M.J. (1983) Rep. Progr. Phys. 46:167.

    Google Scholar 

  • Simon B. (1970) On the infinitude or finiteness of the number of bound states of an Nbody quantum system, I. Helv. Phys. Acta 43:607–630.

    Google Scholar 

  • Simon B. (1976) On the number of bound states of two-body Schroedinger operators-a review. In Studies in Mathematical Physics. Ed. by E.H. Lieb et al. Princeton University Press, Princeton, pp. 305-326.

    Google Scholar 

  • Stelbovics A.T. and Dodd L.R. (1972) Phys. Lett. 39:450.

    Google Scholar 

  • Taluktar B. et al. (1984) J. Math. Phys. 24:683–686.

    Google Scholar 

  • Taylor J.R. (1972) Scattering theory. Wiley, New York.

    Google Scholar 

  • Taylor J.R. (1974) A new rigorous approach to Coulomb scattering. Nuovo Cim. B23:313–34.

    Google Scholar 

  • van Haeringen, H. (1978) J. Math. Phys. 19:1379–1380.

    Google Scholar 

  • van Haeringen, H. (1985) Charged-Particle Interactions. Theory and Formulas. Coulomb Press Leyden, Leiden.

    Google Scholar 

  • van Haeringen H. and Kok L.P. (1981) Exact phase shifts and scattering parameters for Coulomb plus simple separable potentials for all 1. Phys. Lett. A 82 (1981) 317–320.

    Google Scholar 

  • van Haeringen H. and Kok L.P. (1982) Modified effective-range function. Phys Rev. A 26:1218–1225.

    Google Scholar 

  • van Haeringen H., van der Mee C.V.M., and van Wageningen, R. (1977) The number of bound states for the Coulomb plus Yamaguchi potential. J. Math. Phys. 18:941–943.

    Google Scholar 

  • van Haeringen, H. and van Wageningen, R. (1975) J. Math. Phys. 16:1441–1452.

    Google Scholar 

  • Venema M. (1980) Het Efimov effekt in Amado's model (in Dutch). Report 163, University of Groningen, 79 p. Available upon request.

    Google Scholar 

  • Veselova A.M. (1970) Separation of two-particle Coulomb singularities in a system of three charged particles. Teor. Mat. Fiz. 3:542–546.

    Google Scholar 

  • Veselova A.M. (1973) Preprint ITF-73-106P. Kiev.

    Google Scholar 

  • Veselova A.M. (1978) Teor. Mat. Fiz. 35:395.

    Google Scholar 

  • Veselova A.M. and Faddeev L.D. (1981) Vestnik LGU Ser. Fiz. 22:42–46.

    Google Scholar 

  • Wentzel G. (1926) Zwei Bemerkungen ueber die Zerstreuung korpuskularer Sthralen als Beugungserscheinung. Z. Phys. 40:590–593.

    Google Scholar 

  • Yamaguchi Y. (1954) Phys. Rev. 95:1628–1634.

    Google Scholar 

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  1. Institute for Theoretical Physics, University of Groningen, P.O. Box 800, 9700, AV Groningen, Netherlands

    L. P. Kok

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L. S. Ferreira A. C. Fonseca L. Streit

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Kok, L.P. (1987). Charged-particle interactions in few-body systems. In: Ferreira, L.S., Fonseca, A.C., Streit, L. (eds) Models and Methods in Few-Body Physics. Lecture Notes in Physics, vol 273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17647-0_39

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  • DOI: https://doi.org/10.1007/3-540-17647-0_39

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