Benchmark test calculation of a four-nucleon bound state

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; G. Orlandini

Benchmark test calculation of a four-nucleon bound state

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, G. Orlandini

Physics

Research output: Contribution to journal › Article › peer-review

329 Scopus citations

Abstract

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.

Original language	English (US)
Article number	044001
Pages (from-to)	440011-440018
Number of pages	8
Journal	Physical Review C - Nuclear Physics
Volume	64
Issue number	4
State	Published - Oct 2001

ASJC Scopus subject areas

Nuclear and High Energy Physics

Cite this

Kamada, H., Nogga, A., Glöckle, W., Hiyama, E., Kamimura, M., Varga, K., Suzuki, Y., Viviani, M., Kievsky, A., Rosati, S., Carlson, J., Pieper, S. C., Wiringa, R. B., Navrátil, P., Barrett, B. R., Barnea, N., Leidemann, W., & Orlandini, G. (2001). Benchmark test calculation of a four-nucleon bound state. Physical Review C - Nuclear Physics, 64(4), 440011-440018. Article 044001.

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abstract = "In the past, several efficient methods have been developed to solve the Schr{\"o}dinger 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.",

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AU - Kamada, H.

AU - Nogga, A.

AU - Glöckle, W.

AU - Hiyama, E.

AU - Kamimura, M.

AU - Varga, K.

AU - Suzuki, Y.

AU - Viviani, M.

AU - Kievsky, A.

AU - Rosati, S.

AU - Carlson, J.

AU - Pieper, Steven C.

AU - Wiringa, R. B.

AU - Navrátil, P.

AU - Barrett, B. R.

AU - Barnea, N.

AU - Leidemann, W.

AU - Orlandini, G.

PY - 2001/10

Y1 - 2001/10

N2 - 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.

AB - 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.

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ER -

Benchmark test calculation of a four-nucleon bound state

Abstract

ASJC Scopus subject areas

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