Ab initio relativistic many-body calculation of hyperfine splittings of 113Cd+

An ab initio calculation of the hyperfine splitting (HFS) intervals in the 2s 1/2 (mu) 1s 1/2 (e) state of the exotic ( 4 He 2+ - mu - e - ) 0 and ( 3 He 2+ - mu - e - ) 0 atoms is carried out. The smallness of beta = m e /m mu approximately 1/200 (the electron and the mu-meson mass ratio) enables us to take into account the non-relativistic interparticle correlational interaction perturbatively. Corresponding corrections, which give the dominant contribution to the HFS, are calculated to logarithmic accuracy analytically and exactly. Together with the leading relativistic and radiative corrections the HFS values obtained turn out to be in accord with the results of other calculations.An ab initio calculation of the hyperfine splitting (HFS) intervals in the 2s 1/2 (mu) 1s 1/2 (e) state of the exotic ( 4 He 2+ - mu - e - ) 0 and ( 3 He 2+ - mu - e - ) 0 atoms is carried out. The smallness of beta = m e /m mu approximately 1/200 (the electron and the mu-meson mass ratio) enables us to take into account the non-relativistic interparticle correlational interaction perturbatively. Corresponding corrections, which give the dominant contribution to the HFS, are calculated to logarithmic accuracy analytically and exactly. Together with the leading relativistic and radiative corrections the HFS values obtained turn out to be in accord with the results of other calculations.

Journal of Physics B Atomic Molecular and Optical PhysicsAug 28, 199416 citations

Relativisticab initiotreatment of the second-order spin-orbit splitting of the a3Σu+ potential of rubidium and cesium dimers

Svetlana Kotochigova, Eite Tiesinga, Paul S. Julienne

We have calculated the splitting between the ${0}_{u}^{\ensuremath{-}}$ and ${1}_{u}$ components of the $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ state of ${\mathrm{Rb}}_{2}$ and ${\mathrm{Cs}}_{2}$ using a relativistic ab initio configuration-interaction valence bond method. This so-called second-order spin-orbit splitting is entirely due to relativistic correlations within the molecule. Our ab initio nonperturbative splitting is 5 and 2 times larger than perturbative splittings at the inner turning point of the $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ potential for ${\mathrm{Rb}}_{2}$ and ${\mathrm{Cs}}_{2},$ respectively. In addition, close-coupled nuclear dynamics calculations that estimate the effect of this splitting on experimentally accessible quantities are presented. The splitting affects the collisional loss rate of magnetically trapped ultracold Rb and Cs atoms and the spectroscopic determination of the vibrational structure of ${\mathrm{Rb}}_{2}$ and ${\mathrm{Cs}}_{2}$ dimers. Agreement with the experimental collisional loss rates of Cs is found.We have calculated the splitting between the ${0}_{u}^{\ensuremath{-}}$ and ${1}_{u}$ components of the $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ state of ${\mathrm{Rb}}_{2}$ and ${\mathrm{Cs}}_{2}$ using a relativistic ab initio configuration-interaction valence bond method. This so-called second-order spin-orbit splitting is entirely due to relativistic correlations within the molecule. Our ab initio nonperturbative splitting is 5 and 2 times larger than perturbative splittings at the inner turning point of the $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ potential for ${\mathrm{Rb}}_{2}$ and ${\mathrm{Cs}}_{2},$ respectively. In addition, close-coupled nuclear dynamics calculations that estimate the effect of this splitting on experimentally accessible quantities are presented. The splitting affects the collisional loss rate of magnetically trapped ultracold Rb and Cs atoms and the spectroscopic determination of the vibrational structure of ${\mathrm{Rb}}_{2}$ and ${\mathrm{Cs}}_{2}$ dimers. Agreement with the experimental collisional loss rates of Cs is found.

Physical Review ADec 13, 200037 citations

Ab initio many-body calculations of nucleon scattering on

^{16}

We have calculated the splitting between the ${0}_{u}^{\ensuremath{-}}$ and

{1}_{u}

components of the $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ state of

{\mathrm{Rb}}_{2}

and

{\mathrm{Cs}}_{2}

using a relativistic ab initio configuration-interaction valence bond method. This so-called second-order spin-orbit splitting is entirely due to relativistic correlations within the molecule. Our ab initio nonperturbative splitting is 5 and 2 times larger than perturbative splittings at the inner turning point of the $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ potential for

{\mathrm{Rb}}_{2}

and

{\mathrm{Cs}}_{2},

respectively. In addition, close-coupled nuclear dynamics calculations that estimate the effect of this splitting on experimentally accessible quantities are presented. The splitting affects the collisional loss rate of magnetically trapped ultracold Rb and Cs atoms and the spectroscopic determination of the vibrational structure of

{\mathrm{Rb}}_{2}

and

{\mathrm{Cs}}_{2}

dimers. Agreement with the experimental collisional loss rates of Cs is found.