dorsal/arxiv
View SchemaResonant dt-mu formation in condensed hydrogens
| Authors | Andrzej Adamczak, Mark Faifman |
|---|---|
| Categories | |
| ArXiv ID | physics/0412090 |
| URL | https://arxiv.org/abs/physics/0412090 |
| DOI | 10.1103/PhysRevA.72.052501 |
| Journal | Phys. Rev. A 72, 052501 (2005) |
Abstract
Resonant formation of the muonic molecule dt-mu in t-mu atom collision with condensed H/D/T targets is considered. A specific resonance correlation function, which is a generalization of the Van Hove single-particle correlation function, is introduced to calculate the resonant-formation rate in such targets. This function is derived in the case of a polycrystalline harmonic solid. Also is found a general asymptotic form of the resonance correlation function for high momentum transfers, valid for any solid or dense-fluid hydrogen-isotope target. Numerical calculations of the rates are performed for solid molecular hydrogens at zero pressure, using the Debye model of an isotropic solid. It is shown that condensed-matter effects in resonant formation are strong, which explains some unexpected experimental results. In particular, the resonance profiles are affected by large zero-point vibrations of the hydrogen-isotope molecules bound in the considered crystals, even for high (1 eV) collision energies. This is important for explanation of the time-of-flight measurements of the dt-mu-formation rate, carried out at TRIUMF. The calculated mean values of the dt-mu-formation rate in solid D/T targets, for fixed target temperatures and steady-state conditions, are in good agreement with the PSI and RIKEN-RAL experiments.
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"abstract": "Resonant formation of the muonic molecule dt-mu in t-mu atom collision with\ncondensed H/D/T targets is considered. A specific resonance correlation\nfunction, which is a generalization of the Van Hove single-particle correlation\nfunction, is introduced to calculate the resonant-formation rate in such\ntargets. This function is derived in the case of a polycrystalline harmonic\nsolid. Also is found a general asymptotic form of the resonance correlation\nfunction for high momentum transfers, valid for any solid or dense-fluid\nhydrogen-isotope target.\n Numerical calculations of the rates are performed for solid molecular\nhydrogens at zero pressure, using the Debye model of an isotropic solid. It is\nshown that condensed-matter effects in resonant formation are strong, which\nexplains some unexpected experimental results. In particular, the resonance\nprofiles are affected by large zero-point vibrations of the hydrogen-isotope\nmolecules bound in the considered crystals, even for high (1 eV) collision\nenergies. This is important for explanation of the time-of-flight measurements\nof the dt-mu-formation rate, carried out at TRIUMF. The calculated mean values\nof the dt-mu-formation rate in solid D/T targets, for fixed target temperatures\nand steady-state conditions, are in good agreement with the PSI and RIKEN-RAL\nexperiments.",
"arxiv_id": "physics/0412090",
"authors": [
"Andrzej Adamczak",
"Mark Faifman"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.72.052501",
"journal_ref": "Phys. Rev. A 72, 052501 (2005)",
"title": "Resonant dt-mu formation in condensed hydrogens",
"url": "https://arxiv.org/abs/physics/0412090"
},
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