Variational Monte Carlo Techniques in Nuclear Physics

  • J. A. Carlson
  • R. B. Wiringa


Variational Monte Carlo techniques have proven to be a very powerful tool for studying quantum systems in the physics community as a whole, and particularly within nuclear physics [9.1–4]. The most important applications in nuclear physics are to few-body systems, either at the nucleón or the quark level. A variety of nuclear properties have been calculated with Monte Carlo methods, including the binding energies, electromagnetic form factors, response functions, and asymptotic properties of the wave functions for three- and four-body nuclei. One can also study the Hamiltonian itself, in particular the effects of three-nucleon interactions in light nuclei. Finally, one can examine low-energy scattering states and electromagnetic and weak transitions with these same methods.


Wave Function Trial Function Light Nucleus Electromagnetic Form Factor Trial Wave Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [9.1]
    J. Lomnitz Adler, V. R. Pandharipande, and R. A. Smith, Nucl. Phys. A315 (1981) 399CrossRefGoogle Scholar
  2. [9.2]
    J. Carlson, V. R. Pandharipande, and R. B. Wiringa, Nucl. Phys. A401 (1983) 59CrossRefGoogle Scholar
  3. [9.3]
    R. Sehiavilla, V. R. Pandharipande, and R. B. Wiringa, Nucl. Phys. A449 (1986) 219CrossRefGoogle Scholar
  4. [9.4]
    R. B. Wiringa, to be published.Google Scholar
  5. [9.5]
    J. Carlson, J. Kogut, and V. R. Pandharipande, Phys. Rev. D27 (1983) 233ADSGoogle Scholar
  6. [9.6]
    J. Carlson, J. Kogut, and V. R. Pandharipande, Phys. Rev. D28 (1983) 2807ADSGoogle Scholar
  7. [9.7]
    J. Carlson, K. E. Schmidt, and M. H. Kalos, Phys. Rev. C36 (1987) 27ADSGoogle Scholar
  8. [9.8]
    S. Pieper, R. B. Wiringa, and V. R. Pandharipande, Phys. Rev. Lett. 64 (1990) 364ADSCrossRefGoogle Scholar
  9. [9.9]
    M. H. Kalos, Phys. Rev. 128 (1962) 1791ADSCrossRefMathSciNetGoogle Scholar
  10. [9.10]
    M. H. Kalos, D. Levesque, and L. Verlet, Phys. Rev. A9 (1974) 2178ADSCrossRefGoogle Scholar
  11. [9.11]
    K. E. Schmidt, in Models and Methods in Few-Body Physics, Lecture Notes in Physics 273 ( Springer, Berlin, Heidelberg, 1987 )Google Scholar
  12. [9.12]
    P. J. Reynolds, D. M. Ceperley, B. J. Alder, and W. A. Lester, J. Chem. Phys. 77 (1982) 5593ADSCrossRefGoogle Scholar
  13. D. M. Ceperley and B. J. Alder, J. Chem. Phys. 81 (1984) 5833ADSCrossRefGoogle Scholar
  14. [9.13]
    J. Carlson, Phys. Rev. C38 (1988) 1879ADSGoogle Scholar
  15. [9.14]
    J. Carlson, Phys. Rev. C36 (1987) 2026ADSGoogle Scholar
  16. [9.15]
    K. E. Schmidt and J. W. Moskowitz, J. Chem. Phys. 76 (1982) 1064ADSCrossRefGoogle Scholar
  17. [9.16]
    K. E. Schmidt, M. H. Kalos, M. A. Lee, and G. V. Chester, Phys. Rev. Lett 45 (1980) 573ADSCrossRefGoogle Scholar
  18. [9.17]
    N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21 (1953) 1087ADSCrossRefGoogle Scholar
  19. [9.18]
    Mal vin H. Kalos and Paula A. Whitlock, Monte Carlo Methods, Vol. I ( Wiley, New York, 1986 )CrossRefMATHGoogle Scholar
  20. [9.19]
    A. De Rujula, Howard Georgi, and S. L. Glashow, Phys. Rev. D12 (1975) 147CrossRefGoogle Scholar
  21. [9.20]
    R. B. Wiringa, R. A. Smith, and T. L. Ainsworth, Phys. Rev. C29 (1984) 1207ADSGoogle Scholar
  22. [9.21]
    M. Lacombe, B. Loiseau, J. M. Richard, R. Vinh Mau, J. Côté, P. Pirés, and R. de Tourreil, Phys. Rev. C21 (1986) 861Google Scholar
  23. [9.22]
    M. M. Nagles, T. A. Rijken, and J. J. de Swart, Phys. Rev. D17 (1978) 768ADSGoogle Scholar
  24. [9.23]
    R. V. Reid, Ann. Phys. (N.Y.) 50 (1968) 411ADSCrossRefGoogle Scholar
  25. [9.24]
    S. A. Coon, M. D. Scadron, P. C. McNamee, B. R. Barrett, D. W. E. Blatt, and B. H. J. McKellar, Nucl. Phys. A317 (1979) 242CrossRefGoogle Scholar
  26. [9.25]
    I. E. Lagaris and V. R. Pandharipande, Nucl. Phys. A359 (1981) 349CrossRefGoogle Scholar
  27. [9.26]
    R. Schiavilla, A. Fabrocini, and V. R. Pandharipande, Nucl. Phys. A473 (1987) 290CrossRefGoogle Scholar
  28. [9.27]
    R. Schiavilla, V. R. Pandharipande, and D. O. Riska, Phys. Rev. C41 (1990)Google Scholar
  29. [9.28]
    R. Schiavilla, et al., Nucl. Phys. A473 (1987) 267CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • J. A. Carlson
  • R. B. Wiringa

There are no affiliations available

Personalised recommendations