dorsal/arxiv
View SchemaTheory of the Trojan-Horse Method
| Authors | Gerhard Baur, Stefan Typel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0401054 |
| URL | https://arxiv.org/abs/nucl-th/0401054 |
| DOI | 10.1143/PTPS.154.333 |
| Journal | Prog.Theor.Phys.Suppl. 154 (2004) 333-340 |
Abstract
The Trojan-Horse method is an indirect approach to determine the energy dependence of S factors of astrophysically relevant two-body reactions. This is accomplished by studying closely related three-body reactions under quasi-free scattering conditions. The basic theory of the Trojan-Horse method is developed starting from a post-form distorted wave Born approximation of the T-matrix element. In the surface approximation the cross section of the three-body reaction can be related to the S-matrix elements of the two-body reaction. The essential feature of the Trojan-Horse method is the effective suppression of the Coulomb barrier at low energies for the astrophysical reaction leading to finite cross sections at the threshold of the two-body reaction. In a modified plane wave approximation the relation between the two-body and three-body cross sections becomes very transparent. Applications of the Trojan Horse Method are discussed. It is of special interest that electron screening corrections are negligible due to the high projectile energy.
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"abstract": "The Trojan-Horse method is an indirect approach to determine the energy\ndependence of S factors of astrophysically relevant two-body reactions. This is\naccomplished by studying closely related three-body reactions under quasi-free\nscattering conditions. The basic theory of the Trojan-Horse method is developed\nstarting from a post-form distorted wave Born approximation of the T-matrix\nelement. In the surface approximation the cross section of the three-body\nreaction can be related to the S-matrix elements of the two-body reaction. The\nessential feature of the Trojan-Horse method is the effective suppression of\nthe Coulomb barrier at low energies for the astrophysical reaction leading to\nfinite cross sections at the threshold of the two-body reaction. In a modified\nplane wave approximation the relation between the two-body and three-body cross\nsections becomes very transparent. Applications of the Trojan Horse Method are\ndiscussed. It is of special interest that electron screening corrections are\nnegligible due to the high projectile energy.",
"arxiv_id": "nucl-th/0401054",
"authors": [
"Gerhard Baur",
"Stefan Typel"
],
"categories": [
"nucl-th",
"astro-ph",
"nucl-ex"
],
"doi": "10.1143/PTPS.154.333",
"journal_ref": "Prog.Theor.Phys.Suppl. 154 (2004) 333-340",
"title": "Theory of the Trojan-Horse Method",
"url": "https://arxiv.org/abs/nucl-th/0401054"
},
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