### 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 |

Publication status | Published - Oct 2001 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*64*(4), 440011-440018. [044001].

**Benchmark test calculation of a four-nucleon bound state.** / Kamada, H.; Nogga, A.; Glöckle, W.; Hiyama, E.; Kamimura, M.; Varga, K.; Suzuki, Y.; Viviani, M.; Kievsky, A.; Rosati, S.; Carlson, J.; Pieper, Steven C.; Wiringa, R. B.; Navrátil, P.; Barrett, B. R.; Barnea, N.; Leidemann, W.; Orlandini, G.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 64, no. 4, 044001, pp. 440011-440018.

}

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.

UR - http://www.scopus.com/inward/record.url?scp=14344278736&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14344278736&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:14344278736

VL - 64

SP - 440011

EP - 440018

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

M1 - 044001

ER -