### Abstract

Reported are measurements of angular distributions of resonance-energy positive and negative pions exciting approximately 40 states in Mg24 and Mg26. These include the (ground state, 0+), (1.36 MeV, 2+), (4.14, 2+), (5.93, 4+), (6.44, 0+), (7.34), (7.55, 3-), (8.33, 3-), (9.32, 4+), (9.97, 5-), (11.08, 3-), (12.06), (13.26), (13.96, 3-), (15.1, T=1, 6-), and (15.4) states in Mg24 and the (ground state, 0+), (1.81, 2+), (2.92, 2+), (3.59, 0+), (4.31, 2++4+), (4.90, 4+), (5.31, 2+), (5.44, 4+), (5.69, 4+), (6.86, 3-), (7.33, 3-), (7.79, 3-), (8.17, 3-), (9.2, possible 6-), (10.30, 4+), and (18.1, T=2, 6-) states in Mg26. The distorted-wave impulse approximation with a Kisslinger form for the optical potential using a -nucleon t matrix at a shifted energy of -25 MeV was found to explain the elastic scattering data from Mg24,26 in the energy range 116-292 MeV that is spanned by these data. Inelastic distorted-wave impulse approximation calculations employing collective-model deformation parameters were simultaneously fitted to the + and - data for each state. The deformation parameters and matrix elements in most cases compare favorably with results from other studies. Published s-d shell-model calculations using one value for the effective charges were found to reproduce the trend of both the strengths and ratios of neutron-to-proton matrix elements for the 2+ and 4+ states. The data at the first maximum in the inelastic angular distributions for Mg24 and that from other studies for C12, Si28, and Ca40 show that the cross section for + scattering is equal to that for - scattering, which forces the proton deformation parameters to be greater than the neutron deformation parameters and gives a ratio of neutron-to-proton elements to be less than unity. This difference from unity is interpreted as a measure of the failure of the model and a systematic error of 11% is assumed to dominate the errors in the results for Mg26. Coupled-channels calculations employing monopole form factors are compared to data for low-lying 0+ states in Mg24 and Mg26.

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

Pages (from-to) | 1625-1636 |

Number of pages | 12 |

Journal | Physical Review C |

Volume | 41 |

Issue number | 4 |

DOIs | |

State | Published - 1990 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C*,

*41*(4), 1625-1636. https://doi.org/10.1103/PhysRevC.41.1625

**Pion elastic and inelastic scattering from Mg24 and Mg26.** / Blanpied, G. S.; Hernandez, J.; Mishra, C. S.; Mize, W. K.; Whisnant, C. S.; Ritchie, Barry; Morris, C. L.; Seestrom-Morris, S. J.; Moore, C. Fred; Seidl, P. A.; Lindgren, R. A.; Wildenthal, B. H.; Gilman, R.

Research output: Contribution to journal › Article

*Physical Review C*, vol. 41, no. 4, pp. 1625-1636. https://doi.org/10.1103/PhysRevC.41.1625

}

TY - JOUR

T1 - Pion elastic and inelastic scattering from Mg24 and Mg26

AU - Blanpied, G. S.

AU - Hernandez, J.

AU - Mishra, C. S.

AU - Mize, W. K.

AU - Whisnant, C. S.

AU - Ritchie, Barry

AU - Morris, C. L.

AU - Seestrom-Morris, S. J.

AU - Moore, C. Fred

AU - Seidl, P. A.

AU - Lindgren, R. A.

AU - Wildenthal, B. H.

AU - Gilman, R.

PY - 1990

Y1 - 1990

N2 - Reported are measurements of angular distributions of resonance-energy positive and negative pions exciting approximately 40 states in Mg24 and Mg26. These include the (ground state, 0+), (1.36 MeV, 2+), (4.14, 2+), (5.93, 4+), (6.44, 0+), (7.34), (7.55, 3-), (8.33, 3-), (9.32, 4+), (9.97, 5-), (11.08, 3-), (12.06), (13.26), (13.96, 3-), (15.1, T=1, 6-), and (15.4) states in Mg24 and the (ground state, 0+), (1.81, 2+), (2.92, 2+), (3.59, 0+), (4.31, 2++4+), (4.90, 4+), (5.31, 2+), (5.44, 4+), (5.69, 4+), (6.86, 3-), (7.33, 3-), (7.79, 3-), (8.17, 3-), (9.2, possible 6-), (10.30, 4+), and (18.1, T=2, 6-) states in Mg26. The distorted-wave impulse approximation with a Kisslinger form for the optical potential using a -nucleon t matrix at a shifted energy of -25 MeV was found to explain the elastic scattering data from Mg24,26 in the energy range 116-292 MeV that is spanned by these data. Inelastic distorted-wave impulse approximation calculations employing collective-model deformation parameters were simultaneously fitted to the + and - data for each state. The deformation parameters and matrix elements in most cases compare favorably with results from other studies. Published s-d shell-model calculations using one value for the effective charges were found to reproduce the trend of both the strengths and ratios of neutron-to-proton matrix elements for the 2+ and 4+ states. The data at the first maximum in the inelastic angular distributions for Mg24 and that from other studies for C12, Si28, and Ca40 show that the cross section for + scattering is equal to that for - scattering, which forces the proton deformation parameters to be greater than the neutron deformation parameters and gives a ratio of neutron-to-proton elements to be less than unity. This difference from unity is interpreted as a measure of the failure of the model and a systematic error of 11% is assumed to dominate the errors in the results for Mg26. Coupled-channels calculations employing monopole form factors are compared to data for low-lying 0+ states in Mg24 and Mg26.

AB - Reported are measurements of angular distributions of resonance-energy positive and negative pions exciting approximately 40 states in Mg24 and Mg26. These include the (ground state, 0+), (1.36 MeV, 2+), (4.14, 2+), (5.93, 4+), (6.44, 0+), (7.34), (7.55, 3-), (8.33, 3-), (9.32, 4+), (9.97, 5-), (11.08, 3-), (12.06), (13.26), (13.96, 3-), (15.1, T=1, 6-), and (15.4) states in Mg24 and the (ground state, 0+), (1.81, 2+), (2.92, 2+), (3.59, 0+), (4.31, 2++4+), (4.90, 4+), (5.31, 2+), (5.44, 4+), (5.69, 4+), (6.86, 3-), (7.33, 3-), (7.79, 3-), (8.17, 3-), (9.2, possible 6-), (10.30, 4+), and (18.1, T=2, 6-) states in Mg26. The distorted-wave impulse approximation with a Kisslinger form for the optical potential using a -nucleon t matrix at a shifted energy of -25 MeV was found to explain the elastic scattering data from Mg24,26 in the energy range 116-292 MeV that is spanned by these data. Inelastic distorted-wave impulse approximation calculations employing collective-model deformation parameters were simultaneously fitted to the + and - data for each state. The deformation parameters and matrix elements in most cases compare favorably with results from other studies. Published s-d shell-model calculations using one value for the effective charges were found to reproduce the trend of both the strengths and ratios of neutron-to-proton matrix elements for the 2+ and 4+ states. The data at the first maximum in the inelastic angular distributions for Mg24 and that from other studies for C12, Si28, and Ca40 show that the cross section for + scattering is equal to that for - scattering, which forces the proton deformation parameters to be greater than the neutron deformation parameters and gives a ratio of neutron-to-proton elements to be less than unity. This difference from unity is interpreted as a measure of the failure of the model and a systematic error of 11% is assumed to dominate the errors in the results for Mg26. Coupled-channels calculations employing monopole form factors are compared to data for low-lying 0+ states in Mg24 and Mg26.

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U2 - 10.1103/PhysRevC.41.1625

DO - 10.1103/PhysRevC.41.1625

M3 - Article

AN - SCOPUS:0000028485

VL - 41

SP - 1625

EP - 1636

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -