### Abstract

A new procedure for large-scale calculations of the coefficients of fractional parentage (CFPs) for a single j-orbit with isospin is presented. The approach is based on a simple enumeration scheme for antisymmetric A-particle states and an efficient method for constructing the eigenvectors of an idempotent matrix. We investigate the characteristics of the introduced CFP basis and the application of this procedure to the ab initio harmonic-oscillator shell-model approach. The results of CFP calculations for the j = 1/2, ⋯, 41/2 orbits are presented (the full sets of one-particle and two-particle CFPs up to the j = 9/2 orbit are obtained). The new computer code for calculation of the CFPs proves to be very quick, efficient, and numerically stable and produces results possessing only small numerical uncertainties.

Original language | English (US) |
---|---|

Pages (from-to) | 287-298 |

Number of pages | 12 |

Journal | Annals of Physics |

Volume | 296 |

Issue number | 2 |

DOIs | |

State | Published - Mar 15 2002 |

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### Keywords

- Algebraic methods
- Mathematical methods in physics
- Nuclear shell model

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Annals of Physics*,

*296*(2), 287-298. https://doi.org/10.1006/aphy.2002.6229

**Calculation of coefficients of fractional parentage for large-basis harmonic-oscillator shell model.** / Deveikis, A.; Kalinauskas, R. K.; Barrett, Bruce R.

Research output: Contribution to journal › Article

*Annals of Physics*, vol. 296, no. 2, pp. 287-298. https://doi.org/10.1006/aphy.2002.6229

}

TY - JOUR

T1 - Calculation of coefficients of fractional parentage for large-basis harmonic-oscillator shell model

AU - Deveikis, A.

AU - Kalinauskas, R. K.

AU - Barrett, Bruce R

PY - 2002/3/15

Y1 - 2002/3/15

N2 - A new procedure for large-scale calculations of the coefficients of fractional parentage (CFPs) for a single j-orbit with isospin is presented. The approach is based on a simple enumeration scheme for antisymmetric A-particle states and an efficient method for constructing the eigenvectors of an idempotent matrix. We investigate the characteristics of the introduced CFP basis and the application of this procedure to the ab initio harmonic-oscillator shell-model approach. The results of CFP calculations for the j = 1/2, ⋯, 41/2 orbits are presented (the full sets of one-particle and two-particle CFPs up to the j = 9/2 orbit are obtained). The new computer code for calculation of the CFPs proves to be very quick, efficient, and numerically stable and produces results possessing only small numerical uncertainties.

AB - A new procedure for large-scale calculations of the coefficients of fractional parentage (CFPs) for a single j-orbit with isospin is presented. The approach is based on a simple enumeration scheme for antisymmetric A-particle states and an efficient method for constructing the eigenvectors of an idempotent matrix. We investigate the characteristics of the introduced CFP basis and the application of this procedure to the ab initio harmonic-oscillator shell-model approach. The results of CFP calculations for the j = 1/2, ⋯, 41/2 orbits are presented (the full sets of one-particle and two-particle CFPs up to the j = 9/2 orbit are obtained). The new computer code for calculation of the CFPs proves to be very quick, efficient, and numerically stable and produces results possessing only small numerical uncertainties.

KW - Algebraic methods

KW - Mathematical methods in physics

KW - Nuclear shell model

UR - http://www.scopus.com/inward/record.url?scp=0037088319&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037088319&partnerID=8YFLogxK

U2 - 10.1006/aphy.2002.6229

DO - 10.1006/aphy.2002.6229

M3 - Article

AN - SCOPUS:0037088319

VL - 296

SP - 287

EP - 298

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

IS - 2

ER -