dorsal/arxiv
View SchemaModel Calculations for the Two-Fragment Electro-Disintegration of $^4$He
| Authors | M Braun, L L Howell, S A Sofianos, W Sandhas |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9903036 |
| URL | https://arxiv.org/abs/nucl-th/9903036 |
| DOI | 10.1103/PhysRevC.59.2396 |
| Journal | Phys.Rev. C59 (1999) 2396-2401 |
Abstract
Differential cross sections for the electro-disintegration process $e + {^4He} \longrightarrow {^3H}+ p + e'$ are calculated, using a model in which the final state interaction is included by means of a nucleon-nucleus (3+1) potential constructed via Marchenko inversion. The required bound-state wave functions are calculated within the integrodifferential equation approach (IDEA). In our model the important condition that the initial bound state and the final scattering state are orthogonal is fulfilled. The sensitivity of the cross section to the input $p{^3H}$ interaction in certain kinematical regions is investigated. The approach adopted could be useful in reactions involving few cluster systems where effective interactions are not well known and exact methods are presently unavailable. Although, our Plane-Wave Impulse Approximation results exhibit, similarly to other calculations, a dip in the five-fold differential cross-section around a missing momentum of $\sim 450 MeV/c$, it is argued that this is an artifact of the omission of re-scattering four-nucleon processes.
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"abstract": "Differential cross sections for the electro-disintegration process $e +\n{^4He} \\longrightarrow {^3H}+ p + e\u0027$ are calculated, using a model in which\nthe final state interaction is included by means of a nucleon-nucleus (3+1)\npotential constructed via Marchenko inversion. The required bound-state wave\nfunctions are calculated within the integrodifferential equation approach\n(IDEA). In our model the important condition that the initial bound state and\nthe final scattering state are orthogonal is fulfilled. The sensitivity of the\ncross section to the input $p{^3H}$ interaction in certain kinematical regions\nis investigated. The approach adopted could be useful in reactions involving\nfew cluster systems where effective interactions are not well known and exact\nmethods are presently unavailable. Although, our Plane-Wave Impulse\nApproximation results exhibit, similarly to other calculations, a dip in the\nfive-fold differential cross-section around a missing momentum of $\\sim 450\nMeV/c$, it is argued that this is an artifact of the omission of re-scattering\nfour-nucleon processes.",
"arxiv_id": "nucl-th/9903036",
"authors": [
"M Braun",
"L L Howell",
"S A Sofianos",
"W Sandhas"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.59.2396",
"journal_ref": "Phys.Rev. C59 (1999) 2396-2401",
"title": "Model Calculations for the Two-Fragment Electro-Disintegration of $^4$He",
"url": "https://arxiv.org/abs/nucl-th/9903036"
},
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