dorsal/arxiv
View SchemaMicroscopic approach to pion-nucleus dynamics
| Authors | C. M. Chen, D. J. Ernst, M. B. Johnson |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9212013 |
| URL | https://arxiv.org/abs/nucl-th/9212013 |
| DOI | 10.1103/PhysRevC.47.R9 |
Abstract
Elastic scattering of pions from finite nuclei is investigated utilizing a contemporary, momentum--space first--order optical potential combined with microscopic estimates of second--order corrections. The calculation of the first--order potential includes:\ \ (1)~full Fermi--averaging integration including both the delta propagation and the intrinsic nonlocalities in the $\pi$-$N$ amplitude, (2)~fully covariant kinematics, (3)~use of invariant amplitudes which do not contain kinematic singularities, and (4)~a finite--range off--shell pion--nucleon model which contains the nucleon pole term. The effect of the delta--nucleus interaction is included via the mean spectral--energy approximation. It is demonstrated that this produces a convergent perturbation theory in which the Pauli corrections (here treated as a second--order term) cancel remarkably against the pion true absorption terms. Parameter--free results, including the delta--nucleus shell--model potential, Pauli corrections, pion true absorption, and short--range correlations are presented. (2 figures available from authors)
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"abstract": "Elastic scattering of pions from finite nuclei is investigated utilizing a\ncontemporary, momentum--space first--order optical potential combined with\nmicroscopic estimates of second--order corrections. The calculation of the\nfirst--order potential includes:\\ \\ (1)~full Fermi--averaging integration\nincluding both the delta propagation and the intrinsic nonlocalities in the\n$\\pi$-$N$ amplitude, (2)~fully covariant kinematics, (3)~use of invariant\namplitudes which do not contain kinematic singularities, and (4)~a\nfinite--range off--shell pion--nucleon model which contains the nucleon pole\nterm. The effect of the delta--nucleus interaction is included via the mean\nspectral--energy approximation. It is demonstrated that this produces a\nconvergent perturbation theory in which the Pauli corrections (here treated as\na second--order term) cancel remarkably against the pion true absorption terms.\nParameter--free results, including the delta--nucleus shell--model potential,\nPauli corrections, pion true absorption, and short--range correlations are\npresented. (2 figures available from authors)",
"arxiv_id": "nucl-th/9212013",
"authors": [
"C. M. Chen",
"D. J. Ernst",
"M. B. Johnson"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.47.R9",
"title": "Microscopic approach to pion-nucleus dynamics",
"url": "https://arxiv.org/abs/nucl-th/9212013"
},
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