dorsal/arxiv
View SchemaPositronium-hydrogen-atom scattering in a five-state model
| Authors | Sadhan K. Adhikari, P. K. Biswas |
|---|---|
| Categories | |
| ArXiv ID | physics/9911054 |
| URL | https://arxiv.org/abs/physics/9911054 |
| DOI | 10.1103/PhysRevA.59.2058 |
| Journal | Phys.Rev.A59:2058-2064,1999 |
Abstract
The scattering of ortho-positronium (Ps) by hydrogen atoms has been investigated in a five-state coupled-channel model allowing for Ps(1s)H(2s,2p) and Ps(2s,2p)H(1s) excitations using a recently proposed electron-exchange model potential. The higher ($n\ge 3$) excitations and ionization of the Ps atom are calculated using the first Born approximation. Calculations are reported of scattering lengths, phase shifts, elastic, Ps- and H-excitation, and total cross sections. Remarkable correlations are observed between the S-wave Ps-H binding energy and the singlet scattering length, effective range, and resonance energy obtained in various model calculations. These correlations suggest that if a Ps-H dynamical model yields the correct result for one of these four observables, it is expected to lead to the correct result for the other three. The present model, which is constructed so as to reproduce the Ps-H resonance at 4.01 eV, automatically yields a Ps-H bound state at -1.05 eV which compares well with the accurate value of -1.067 eV. The model leads to a singlet scattering length of 3.72$a_0$ and effective range of 1.67$a_0$, whereas the correlations suggest the precise values of $3.50a_0$ and 1.65$a_0$ for these observables, respectively.
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"abstract": "The scattering of ortho-positronium (Ps) by hydrogen atoms has been\ninvestigated in a five-state coupled-channel model allowing for Ps(1s)H(2s,2p)\nand Ps(2s,2p)H(1s) excitations using a recently proposed electron-exchange\nmodel potential. The higher ($n\\ge 3$) excitations and ionization of the Ps\natom are calculated using the first Born approximation. Calculations are\nreported of scattering lengths, phase shifts, elastic, Ps- and H-excitation,\nand total cross sections. Remarkable correlations are observed between the\nS-wave Ps-H binding energy and the singlet scattering length, effective range,\nand resonance energy obtained in various model calculations. These correlations\nsuggest that if a Ps-H dynamical model yields the correct result for one of\nthese four observables, it is expected to lead to the correct result for the\nother three. The present model, which is constructed so as to reproduce the\nPs-H resonance at 4.01 eV, automatically yields a Ps-H bound state at -1.05 eV\nwhich compares well with the accurate value of -1.067 eV. The model leads to a\nsinglet scattering length of 3.72$a_0$ and effective range of 1.67$a_0$,\nwhereas the correlations suggest the precise values of $3.50a_0$ and 1.65$a_0$\nfor these observables, respectively.",
"arxiv_id": "physics/9911054",
"authors": [
"Sadhan K. Adhikari",
"P. K. Biswas"
],
"categories": [
"physics.atm-clus",
"cond-mat",
"nucl-th",
"physics.atom-ph",
"physics.chem-ph"
],
"doi": "10.1103/PhysRevA.59.2058",
"journal_ref": "Phys.Rev.A59:2058-2064,1999",
"title": "Positronium-hydrogen-atom scattering in a five-state model",
"url": "https://arxiv.org/abs/physics/9911054"
},
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