dorsal/arxiv
View SchemaOn kaonic deuterium. Quantum field theoretic and relativistic covariant approach
| Authors | A. N. Ivanov, M. Cargnelli, M. Faber, H. Fuhrmann, V. A. Ivanova, J. Marton, N. I. Troitskaya, J. Zmeskal |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0406053 |
| URL | https://arxiv.org/abs/nucl-th/0406053 |
| DOI | 10.1140/epja/i2004-10055-3 |
| Journal | Eur.Phys.J.A23:79-111,2005 |
Abstract
We study kaonic deuterium, the bound K^-d state A_(K d). Within a quantum field theoretic and relativistic covariant approach we derive the energy level displacement of the ground state of kaonic deuterium in terms of the amplitude of K^-d scattering for arbitrary relative momenta. Near threshold our formula reduces to the well-known DGBT formula. The S-wave amplitude of K^-d scattering near threshold is defined by the resonances Lambda(1405), Sigma(1750) and a smooth elastic background, and the inelastic channels K^- d -> NY and K^- d -> NY pion, with Y = Sigma^(+/-), Sigma^0 and Lambda^0, where the final-state interactions play an important role. The Ericson-Weise formula for the S-wave scattering length of K^-d scattering is derived. The total width of the energy level of the ground state of kaonic deuterium is estimated using the theoretical predictions of the partial widths of the two-body decays A_(Kd) -> NY and experimental data on the rates of the NY-pair production in the reactions K^-d -> NY. We obtain Gamma_{1s} = (630 +/-100) eV. For the shift of the energy level of the ground state of kaonic deuterium we predict epsilon_(1s) = (353 +/-60)eV.
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"abstract": "We study kaonic deuterium, the bound K^-d state A_(K d). Within a quantum\nfield theoretic and relativistic covariant approach we derive the energy level\ndisplacement of the ground state of kaonic deuterium in terms of the amplitude\nof K^-d scattering for arbitrary relative momenta. Near threshold our formula\nreduces to the well-known DGBT formula. The S-wave amplitude of K^-d scattering\nnear threshold is defined by the resonances Lambda(1405), Sigma(1750) and a\nsmooth elastic background, and the inelastic channels K^- d -\u003e NY and K^- d -\u003e\nNY pion, with Y = Sigma^(+/-), Sigma^0 and Lambda^0, where the final-state\ninteractions play an important role. The Ericson-Weise formula for the S-wave\nscattering length of K^-d scattering is derived. The total width of the energy\nlevel of the ground state of kaonic deuterium is estimated using the\ntheoretical predictions of the partial widths of the two-body decays A_(Kd) -\u003e\nNY and experimental data on the rates of the NY-pair production in the\nreactions K^-d -\u003e NY. We obtain Gamma_{1s} = (630 +/-100) eV. For the shift of\nthe energy level of the ground state of kaonic deuterium we predict\nepsilon_(1s) = (353 +/-60)eV.",
"arxiv_id": "nucl-th/0406053",
"authors": [
"A. N. Ivanov",
"M. Cargnelli",
"M. Faber",
"H. Fuhrmann",
"V. A. Ivanova",
"J. Marton",
"N. I. Troitskaya",
"J. Zmeskal"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1140/epja/i2004-10055-3",
"journal_ref": "Eur.Phys.J.A23:79-111,2005",
"title": "On kaonic deuterium. Quantum field theoretic and relativistic covariant approach",
"url": "https://arxiv.org/abs/nucl-th/0406053"
},
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