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

doi:10.1103/PhysRevC.64.044001

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

^*Corresponding author for this work

Racah Institute of Physics

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

324 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
Article number	044001
Pages (from-to)	440011-440018
Number of pages	8
Journal	Physical Review C - Nuclear Physics
Volume	64
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevC.64.044001
State	Published - Oct 2001

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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. https://doi.org/10.1103/PhysRevC.64.044001

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title = "Benchmark test calculation of a four-nucleon bound state",

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.",

author = "H. Kamada and A. Nogga and W. Gl{\"o}ckle and E. Hiyama and M. Kamimura and K. Varga and Y. Suzuki and M. Viviani and A. Kievsky and S. Rosati and J. Carlson and Pieper, {Steven C.} and Wiringa, {R. B.} and P. Navr{\'a}til and Barrett, {B. R.} and N. Barnea and W. Leidemann and G. Orlandini",

year = "2001",

month = oct,

doi = "10.1103/PhysRevC.64.044001",

language = "אנגלית",

volume = "64",

pages = "440011--440018",

journal = "Physical Review C - Nuclear Physics",

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publisher = "American Physical Society",

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Kamada, H, Nogga, A, Glöckle, W, Hiyama, E, Kamimura, M, Varga, K, Suzuki, Y, Viviani, M, Kievsky, A, Rosati, S, Carlson, J, Pieper, SC, Wiringa, RB, Navrátil, P, Barrett, BR, Barnea, N, Leidemann, W & Orlandini, G 2001, 'Benchmark test calculation of a four-nucleon bound state', Physical Review C - Nuclear Physics, vol. 64, no. 4, 044001, pp. 440011-440018. https://doi.org/10.1103/PhysRevC.64.044001

TY - JOUR

T1 - Benchmark test calculation of a four-nucleon bound state

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

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