Momentum-space study of pion-nucleus inelastic scattering

Lee, Tsung-Shung H.; Tabakin, Frank

doi:10.1016/0375-9474(74)90406-0

Cited by 51 publications

(7 citation statements)

References 15 publications

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“…Consequently, the pion-nucleus inelastic scattering leading to discrete final nuclear states can be described by the Distorted Wave Impulse Approximation (DWIA). This has been well established [4][5][6][7][8][9][10][11][12][13] in very extensive investigations of the data from meson factories. Following the momentum-space approach [7], the inelastic scattering amplitude can be written as…”

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confidence: 99%

“…These neutron and proton transition densities are shown in Fig. 1 for four transitions in 6 Li and 7 Li. The integrated B(E2 ↑, t 3 ) values,…”

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confidence: 99%

“…are given in Table I, where they are compared to the experimental proton values obtained from (e, e ′ ) scattering and Coulomb excitation experiments [18][19][20]. Our evaluations are made with 160 000 Monte Carlo samples for transitions in 6 Li and 120 000 Monte Carlo samples for transitions in 7 Li. This number of samples is sufficient to give statistical uncertainties that are as small or smaller than the errors on the experimental B(E2) values.…”

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confidence: 99%

“…This number of samples is sufficient to give statistical uncertainties that are as small or smaller than the errors on the experimental B(E2) values. Other J(KS) transition amplitudes can contribute to pion inelastic scattering, particularly in the 6 Li case, and are evaluated in a similar manner. We see from Fig.…”

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confidence: 99%

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Quantum Monte Carlo calculations of pion scattering from Li

Lee

Wiringa

2000

Phys. Rev. C

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We show that the neutron and proton transition densities predicted by recent Quantum Monte Carlo calculations for A = 6, 7 nuclei are consistent with pion scattering from 6 Li and 7 Li at energies near the ∆ resonance. This has provided a microscopic understanding of the enhancement factors for quadrupole excitations, which were needed to describe pion inelastic scattering within the nuclear shell model of Cohen and Kurath.PACS numbers: 21.60. Ka, 25.80.Ek Typeset using REVT E X

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confidence: 99%

“…These neutron and proton transition densities are shown in Fig. 1 for four transitions in 6 Li and 7 Li. The integrated B(E2 ↑, t 3 ) values,…”

mentioning

confidence: 99%

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confidence: 99%

mentioning

confidence: 99%

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Quantum Monte Carlo calculations of pion scattering from Li

Lee

Wiringa

2000

Phys. Rev. C

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“…The computer code DwpI [10] for the r-space calculations was modified to include higher angular momentum transfers, up to J=8. The code HL [12,13] for the pspace calculation was modified to have more Gaussian integration points, to allow higher angular momentum transfer, and to allow various options for using different neutron and proton densities. The normalization procedure in the collective macroscopic calculation of code HL was carefully checked and modified to get the correct P~a nd P"as defined in Eq.…”

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confidence: 99%

Determination of neutron and proton multipole matrix elements inPb208fromπ
Hintz
¹
,
Yang
²
,
Gazzaly
³

et al. 1992
Phys. Rev. C
6
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0
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New data for elastic and inelastic m+ and m scattering by 'Pb at 180 MeV are presented. The elastic scattering data were analyzed with a standard Kisslinger potential in a coordinate space (r space) calculation using the free m.-N amplitudes to calculate the potential coefficients. Momentum-space (p-space) calculations were also performed using the free~-N amplitudes to calculate on-shell matrix elements and the Landau-Tabakin model for the off-shell. The same ground-state proton and neutron densities were used in these two spaces and the fits are good. The distorted-wave impulse approximation calculations in both spaces, with the same collective model transition densities, reproduce the inelastic differential cross sections quite well. The proton and neutron transition multipole matrix elements and their ratios were calculated from the deformation parameters extracted from fits to inelastic scattering data. It is found that the ratios calculated in these two spaces are quite close to each other and close to those found in a comparison of (e, e') and (p, p') experiments, while the absolute value of matrix elements found in the p-space calculations are -15-20% smaller than those from the r-space calculations.The r-space proton matrix elements are generally in good agreement with those obtained from electron scattering. The effects of the pion-nucleon interactions and form factors used in these calculations were investigated.PACS number(s): 25.80. Dj, 25.80.Ek, 23.20.Js, 27.80.+w

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