Skip to main content
SpringerLink
Log in

TATMS method in few-body physics

  • Part II - Integral and Differential Methods for the Solution of the Schrödinger Equation
  • Conference paper
  • First Online:
Models and Methods in Few-Body Physics

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

Abstract

ATMS is the abbreviation of the “Amalgamation of Two-body correlations into Multiple Scattering process”, and is a method for treating few-body systems with realistic interactions. The basic idea, the formulation and the accuracy of the method are presented. How to use the ATMS method is explained through the calculations of three- and four-nucleon systems with central NN interactions, the Coulomb three-body system (dtμ) and momentum distributions in 4He.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Reid,Jr.,R.V.: Ann. of Phys. 50, 411 (1968).

    Google Scholar 

  2. Akaishi,Y., Sakai,M., Hiura,J., Tanaka,H.: Prog. Theor. Phys. Suppl. No. 56, 6 (1974).

    Google Scholar 

  3. Schmid,E.W., Tang,Y.C., Herndon,R.C.: Nucl. Phys. 42, 95 (1963); 65, 203 (1965).

    Google Scholar 

  4. Tanaka,H., Nagata,H.: Prog. Theor. Phys. Suppl. No.56, 121 (1974).

    Google Scholar 

  5. Sakai,M, Shimodaya,I., Akaishi,Y., Hiura,J., Tanaka,H.: Prog. Theor. Phys. Suppl. No.56, 32 (1974).

    Google Scholar 

  6. Brueckner,K.A., Levinson,C.A.: Phys. Rev. 97, 1344 (1955).

    Google Scholar 

  7. Bethe,H.A.: Phys. Rev. 103, 1353 (1956).

    Google Scholar 

  8. Bethe,H.A.: Ann. Rev. Nucl. Sci. Vol.21, 93 (1971).

    Google Scholar 

  9. Gomes,L.C., Walecka,J.D., Weisskopf,V.F.: Ann. of Phys. 3, 241 (1958).

    Google Scholar 

  10. Akaishi,Y., Nagata,S.: Prog. Theor. Phys. 48, 133 (1972).

    Google Scholar 

  11. Watson,K.M.: Phys. Rev. 89, 575 (1953).

    Google Scholar 

  12. Tanaka,H.: ATMS Method and Its Application. International Symposium in Nanning, 1985.

    Google Scholar 

  13. Tanaka,H.: Prog. Theor. Phys. 13, 497 (1955)

    Google Scholar 

  14. Shinmura,S., Akaishi,Y., Tanaka,H.: Prog. Theor. Phys. 71, 546 (1984).

    Google Scholar 

  15. Kurihara,Y., Akaishi,Y., Tanaka,H.: Phys. Rev. C31, 971 (1985).

    Google Scholar 

  16. Nakaichi-Maeda,S., Lim,T.K., Akaishi,Y., Tanaka,H.: J. Chem. Phys. 71, 4430 (1979).

    Google Scholar 

  17. Akaishi,Y., International Rev. Nucl. Phys. Vol.4. Singapore: World Scientific 1986.

    Google Scholar 

  18. Fox,L., Goodwin,E.T.: Proc. Camb. Phil. Soc. 45, 373 (1949).

    Google Scholar 

  19. Robertson,H.H.: Proc. Camb. Phil. Soc. 52, 538 (1956).

    Google Scholar 

  20. Haselgrove,C.B.: Math. Comp. 15, 323 (1561).

    Google Scholar 

  21. Temple,G.: Proc. Roy. Soc. A119, 276 (1928).

    Google Scholar 

  22. Malfliet,R.A., Tjon,J.A.: Nucl. Phys. A127, 161 (1969).

    Google Scholar 

  23. Lomnitz-Adler,J., Pandharipande,V.R., Smith,R.A.: Nucl. Phys. A361, 399 (1981).

    Google Scholar 

  24. Carlson,J., Pandharipande,V.R.: Nucl. Phys. A371, 301 (1981).

    Google Scholar 

  25. Ciofi degli Atti,C., Simula,S.: Nuovo Cim. 41, 101 (1984).

    Google Scholar 

  26. Strayer,M.R., Sauer,P.U.: Nucl. Phys. A231, 1 (1974).

    Google Scholar 

  27. Hu,C.Y., Fink,S.: Phys. Rev. C30, 715 (1984).

    Google Scholar 

  28. Friar,J.L.,Gibson,B.F.,Payne,G.L.: Phys. Rev.C24,2279 (1981).

    Google Scholar 

  29. Kalos,M.H.: Phys. Rev. 128, 1791 (1962).

    Google Scholar 

  30. Zabolitzky,J.G., Kalos,M.H.: Nucl. Phys. A356, 114 (1981).

    Google Scholar 

  31. Zabolitzky,J.G., Schmidt,K.E., Kalos,M.H.: Phys. Rev. C25, 1111 (1982).

    Google Scholar 

  32. Kümmel,H., Lührmann,K.H., Zabolitzky,J.G.: Phys. Rep. 36C, 1 (1978).

    Google Scholar 

  33. Tamagaki,R.: Prog. Theor. Phys. 39, 91 (1968).

    Google Scholar 

  34. Akaishi,Y., Nakaichi-Maeda,S., Schmid,E.W.: Prog. Theor. Phys. 66, 211 (1981).

    Google Scholar 

  35. Ali,S., Bodmer,A.R.: Nucl. Phys. 80, 99 (1966).

    Google Scholar 

  36. Hajduk,Ch., Sauer,P.U.: Nucl. Phys. A369, 321 (1981).

    Google Scholar 

  37. Ishikawa,S., Sasakawa,T., Sawada,T., Ueda,T.: Phys. Rev. Lett. 53, 1877 (1984).

    Google Scholar 

  38. Chen,C.R., Payne,G.L., Friar,J.L., Gibson,B.F.: Phys. Rev. C31, 2266 (1985).

    Google Scholar 

  39. Bracci,L., Fiorentini,G.: Phys. Rep. 86, 169 (1982).

    Google Scholar 

  40. Day,B.D.: Phys. Rev. 187, 1269 (1969).

    Google Scholar 

  41. Vinitskiî,S.I., Melezhik,V.S., Ponomarev,L.I., Puzynin,I.V., Puzynina,T.P., Somov,L.N., Truskova,N.F.: Soviet Phys. JETP 52, 353 (1980).

    Google Scholar 

  42. Kurihara,Y., Akaishi,Y., Tanaka,H.: Prog. Theor. Phys. 67, 1483 (1982).

    Google Scholar 

  43. Zabolitzky,J.G., Ey,W.: Phys. Lett. 76B, 527 (1978).

    Google Scholar 

  44. Fujita,T., Hüfner,J.: Nucl. Phys. A314, 317 (1979).

    Google Scholar 

  45. Höistad,B., Gazzaly,M., Aas,B., Igo,G., Rahbar,A., Whitten,C., Adams,G.S., Whitney,R.: Phys. Rev. C29, 553 (1984).

    Google Scholar 

  46. Ciofi degli Atti,C.: Prog. Part. Nucl. Phys. 3, 163 (1980).

    Google Scholar 

  47. Ciofi degli Atti,C., Pace,E., Salmè,G.: Phys. Lett. 127B, 303 (1983).

    Google Scholar 

  48. Akaishi,Y.: Few-Body Calculations at Sapporo. European Workshop in Rome, 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Hokkaido University, 060, Sapporo, Japan

    Yoshinori Akaishi

Authors
  1. Yoshinori Akaishi
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

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

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Sprigner-Verlag

About this paper

Cite this paper

Akaishi, Y. (1987). TATMS method in few-body physics. 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_34

Download citation

  • DOI: https://doi.org/10.1007/3-540-17647-0_34

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17647-3

  • Online ISBN: 978-3-540-47736-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation