Benchmark test calculation of a four-nucleon bound state

Phys. Rev. C 64, 044001 – Published 27 August 2001
H. Kamada, A. Nogga, W. Glöckle, E. Hiyama, M. Kamimura, K. Varga, Y. Suzuki, M. Viviani, A. Kievsky, S. Rosati, J. Carlson, Steven C. Pieper, R. B. Wiringa, P. Navrátil, B. R. Barrett, N. Barnea, W. Leidemann, and G. Orlandini


In the past, several efficient methods have been developed to solve the Schrödinger equation for four-nucleon bound states accurately. These are the Faddeev-Yakubovsky, the coupled-rearrangement-channel Gaussian-basis variational, the stochastic variational, the hyperspherical variational, the Green’s function Monte Carlo, the no-core shell model, and the effective interaction hyperspherical harmonic methods. In this article we compare the energy eigenvalue results and some wave function properties using the realistic AV8 NN interaction. The results of all schemes agree very well showing the high accuracy of our present ability to calculate the four-nucleon bound state.


  • Received 20 April 2001
  • Published 27 August 2001

© 2001 The American Physical Society

Authors & Affiliations

H. Kamada*, A. Nogga, and W. Glöckle

  • Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany

E. Hiyama

  • High Energy Accelerator Research Organization, Institute of Particle and Nuclear Studies, Tsukuba 305-0801, Japan

M. Kamimura

  • Department of Physics, Kyushu University, Fukuoka 812-8581, Japan

K. Varga

  • Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37380
  • Institute of Nuclear Research of the Hungarian Academy of Sciences (ATOMKI), Debrecen 4000, PO Box 51, Hungary

Y. Suzuki

  • Department of Physics, Niigata University, Niigata 950-2181, Japan

M. Viviani and A. Kievsky

  • INFN, Sezione di Pisa, I-56100 Pisa, Italy

S. Rosati

  • INFN, Sezione di Pisa, I-56100 Pisa, Italy
  • Department of Physics, University of Pisa, I-56100 Pisa, Italy

J. Carlson

  • Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Steven C. Pieper and R. B. Wiringa

  • Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

P. Navrátil

  • Lawrence Livermore National Laboratory, P. O. Box 808, Livermore, California 94551
  • Nuclear Physics Institute, Academy of Sciences of the Czech Republic, 250 68 Řež near Prague, Czech Republic

B. R. Barrett

  • Department of Physics, P.O. Box 210081, University of Arizona, Tucson, Arizona 85721

N. Barnea

  • The Racah Institute of Physics, The Hebrew University, 91904 Jerusalem, Israel

W. Leidemann and G. Orlandini

  • Dipartimento di Fisica and INFN (Gruppo Collegato di Trento), Università di Trento, I-38050 Povo, Italy

  • *Present address: Forschungszentrum Jülich, Institut für Kernphysik (Theorie), D-52425 Jülich, Germany. Email address:

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