dorsal/arxiv
View SchemaDimer scattering in the epsilon expansion
| Authors | Gautam Rupak |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605074 |
| URL | https://arxiv.org/abs/nucl-th/0605074 |
Abstract
The atom-dimer and dimer-dimer scattering lengths are analytically calculated in an expansion around four spatial dimensions for fermions with a large 2-body scattering length 'a'. We find the atom-dimer scattering length a_ad/a = 4/3-2/9 epsilon and the dimer-dimer scattering length a_dd/a = epsilon -0.344 epsilon^2, where epsilon = 4-d and d is the number of spatial dimensions. These ratios a_ad/a = 1.11 and a_dd/a = 0.656 at epsilon = 1 are to be compared with the non-perturbatively calculated numerical results 1.18 and 0.6 respectively. The neutron-deuteron scattering length in the quartet channel a_nD = 4.78 fm is in reasonable agreement with the experimental value 6.35 fm, considering 2-body effective range corrections r_0/a = 0.4 were excluded. The deuteron-deuteron scattering length a_DD = 3.15 fm in the spin-2 channel.
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"abstract": "The atom-dimer and dimer-dimer scattering lengths are analytically calculated\nin an expansion around four spatial dimensions for fermions with a large 2-body\nscattering length \u0027a\u0027. We find the atom-dimer scattering length a_ad/a =\n4/3-2/9 epsilon and the dimer-dimer scattering length a_dd/a = epsilon -0.344\nepsilon^2, where epsilon = 4-d and d is the number of spatial dimensions. These\nratios a_ad/a = 1.11 and a_dd/a = 0.656 at epsilon = 1 are to be compared with\nthe non-perturbatively calculated numerical results 1.18 and 0.6 respectively.\nThe neutron-deuteron scattering length in the quartet channel a_nD = 4.78 fm is\nin reasonable agreement with the experimental value 6.35 fm, considering 2-body\neffective range corrections r_0/a = 0.4 were excluded. The deuteron-deuteron\nscattering length a_DD = 3.15 fm in the spin-2 channel.",
"arxiv_id": "nucl-th/0605074",
"authors": [
"Gautam Rupak"
],
"categories": [
"nucl-th",
"cond-mat.other",
"hep-ph"
],
"title": "Dimer scattering in the epsilon expansion",
"url": "https://arxiv.org/abs/nucl-th/0605074"
},
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