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

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

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 [Formula Presented] 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
Pages (from-to)	8
Number of pages	1
Journal	Physical Review C - Nuclear Physics
Volume	64
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevC.64.044001
Publication status	Published - 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1103/PhysRevC.64.044001

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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), 8. https://doi.org/10.1103/PhysRevC.64.044001

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, pp. 8. https://doi.org/10.1103/PhysRevC.64.044001

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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{\textquoteright}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 [Formula Presented] 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",

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doi = "10.1103/PhysRevC.64.044001",

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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

Y1 - 2001

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 [Formula Presented] 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 [Formula Presented] 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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Benchmark test calculation of a four-nucleon bound state

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