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

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	American 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
State	Published - 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), 8. https://doi.org/10.1103/PhysRevC.64.044001

@article{0e2810f6fe0644d49731cf8d09c07680,

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{\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",

year = "2001",

doi = "10.1103/PhysRevC.64.044001",

language = "American English",

volume = "64",

pages = "8",

journal = "Physical Review C - Nuclear Physics",

issn = "0556-2813",

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, pp. 8. 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

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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U2 - 10.1103/PhysRevC.64.044001

DO - 10.1103/PhysRevC.64.044001

M3 - Article

AN - SCOPUS:85035283347

SN - 0556-2813

VL - 64

SP - 8

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

IS - 4

ER -

Benchmark test calculation of a four-nucleon bound state

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