The modified version of second and fourth order vibrational perturbation theory, whereby the Euclidean action for tunneling is computed on the inverted potential at a shifted energy that is ℏ2 dependent, is applied to a symmetric double well quartic potential. The mean energies of the doublets in each well are also computed using vibrational perturbation theory. Results show that the modified vibrational perturbation theory significantly improves the estimates of tunneling splitting energies both for the ground state and for excited state doublets.The modified version of second and fourth order vibrational perturbation theory, whereby the Euclidean action for tunneling is computed on the inverted potential at a shifted energy that is ℏ2 dependent, is applied to a symmetric double well quartic potential. The mean energies of the doublets in each well are also computed using vibrational perturbation theory. Results show that the modified vibrational perturbation theory significantly improves the estimates of tunneling splitting energies both for the ground state and for excited state doublets.

The Journal of Chemical PhysicsJul 15, 20244 citations

Ultracold collisions between Li atoms and Li2 diatoms in high vibrational states

Goulven Quéméner, Jean–Michel Launay, Pascal Honvault

We have performed a quantum-dynamical study of vibrational deexcitation and elastic scattering at ultralow collision energies for the bosonic system $^{7}\mathrm{Li}+^{7}\mathrm{Li}_{2}$ and for the fermionic system $^{6}\mathrm{Li}+^{6}\mathrm{Li}_{2}$ with diatomic molecules in high vibrational states. Inelastic rates show a strong and irregular dependence on the vibrational state of the diatomic molecule. For the highest vibrational state which lies near the dissociation limit, vibrational deexcitation processes are not suppressed, but rather depleted, for both bosonic and fermionic systems.We have performed a quantum-dynamical study of vibrational deexcitation and elastic scattering at ultralow collision energies for the bosonic system $^{7}\mathrm{Li}+^{7}\mathrm{Li}_{2}$ and for the fermionic system $^{6}\mathrm{Li}+^{6}\mathrm{Li}_{2}$ with diatomic molecules in high vibrational states. Inelastic rates show a strong and irregular dependence on the vibrational state of the diatomic molecule. For the highest vibrational state which lies near the dissociation limit, vibrational deexcitation processes are not suppressed, but rather depleted, for both bosonic and fermionic systems.

Physical Review AMay 25, 200748 citations

On a two-component theory of fermions

P. R. Ferents, A. I. Kostarev

Russian Physics JournalFeb 1, 19740 citations

We have performed a quantum-dynamical study of vibrational deexcitation and elastic scattering at ultralow collision energies for the bosonic system

^{7}\mathrm{Li}+^{7}\mathrm{Li}_{2}

and for the fermionic system

^{6}\mathrm{Li}+^{6}\mathrm{Li}_{2}

with diatomic molecules in high vibrational states. Inelastic rates show a strong and irregular dependence on the vibrational state of the diatomic molecule. For the highest vibrational state which lies near the dissociation limit, vibrational deexcitation processes are not suppressed, but rather depleted, for both bosonic and fermionic systems.