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    Structures of ^17F and ^17O, ^17Ne and ^17N in the Ground State and the First Excited State
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    Abstract:
    The structures of two couples of mirror nuclei ^17F and ^17O, ^17Ne and ^17N in the ground state and in the first excited state are investigated using the relativistic mean-field approach. Two-proton halo in ^17Ne in the first excited state and in the ground state and two-neutron halo in ^17N in the first excited state are suggested.Meanwhile, one-proton halo in ^17F in the first excited state and one-neutron halo in ^17O in the first excited state are also suggested. The skin structure appears in ^17F and ^17N in the ground state.
    The structures of two couples of mirror nuclei F-17 and O-17, Ne-17 and N-17 in the ground state and in the first excited state are investigated using the relativistic mean-field approach. Two-proton halo in Ne-17 in the first excited state and in the ground state and two-neutron halo in N-17 in the first excited state are suggested. Meanwhile, one-proton halo in F-17 in the first excited state and one-neutron halo in O-17 in the first excited state are also suggested. The skin structure appears in F-17 and N-17 in the ground state.
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    The s-wave neutron fraction of the 0+ levels in 12Be has been investigated for the first time through the 11Be(d,p) transfer reaction using a 5A MeV 11Be beam at TRIUMF, Canada. The reaction populated all the known bound states of 12Be. The ground state s-wave spectroscopic factor was determined to be 0.28−0.07+0.03 while that for the long-lived 02+ excited state was 0.73−0.40+0.27. This observation, together with the smaller effective separation energy indicates enhanced probability for an extended density tail beyond the 10Be core for the 02+ excited state compared to the ground state.
    The structures of two couples of mirror nuclei 17F and 17O, 17Ne and 17N in the ground state and in the first excited state are investigated using the relativistic mean-field approach. Two-proton halo in 17Ne in the first excited state and in the ground state and two-neutron halo in 17N in the first excited state are suggested. Meanwhile, one-proton halo in 17F in the first excited state and one-neutron halo in 17O in the first excited state are also suggested. The skin structure appears in 17F and 17N in the ground state.
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    Abstract This paper describes theoretical calculations of the energy of low-lying, electronic states of CH2 as functions of HCH angle. The method uses Hurley's modification of Moffitt's method of Atoms in Molecules to allow for intra-atomic electron correlation. The results are in agreement with experiment, giving a linear 3Σ g - ground state. The first excited state is a bent 1A1 state which lies no more than 0·6 ev above the ground state.
    Electronic correlation
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    Based on group theory and atomic and molecular reactive statics (AMRS), the ground state X3Σ− and excited state 1Σ+ of UO and their reasonable dissociation limits are derived successfully. Using the MP2 method with the relativistic e? ective core potential and valence electron basis set (5s4p3d4f)/[3s3p2d2f] for the U atom and basis set 6-311G* for the O atom, the present work has calculated the potential energy curves for the ground state Χ3Σ− and excited state 1Σ+ of UO. The equilibrium distance and dissociation energy are 0.1833 nm and 6.9241 eV for the Χ3Σ− state, and 0.1825 nm and 8.8756eV for the 1Σ+ state. Spectroscopic data are derived for the first time.
    Bond-dissociation energy
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    Radiationless transitions from an optically prepared state to the ground state are studied on a model consisting of three electronic states and two harmonic modes of vibration. The effect of the upper excited state on the nonradiative decay properties of the lower excited state is investigated for systems in which these states are coupled through the same non-totally-symmetric mode that couples the lower excited state to the ground state. If only this mode is considered, the model is exactly solvable and allows one to test the assumption that the initially prepared state is an adiabatic Born–Oppenheimer state. This assumption is found to be accurate unless the zeroth-order adiabatic vibrancy state from which the transition originates is very close to, e.g., within one vibrational quantum of, a zeroth-order state of the upper excited state manifold. Strong nonadiabatic mixing occurs when a vibrationally excited level of the lower excited state is in resonance with a level of the upper state. In general, the proximity of the two excited states increases the ability of the coupling mode to act as an energy accepting mode for radiationless decay to the ground state. This is shown by comparison with a totally symmetric, displaced oscillator in the adiabatic approximation. As a result vibronic coupling between two excited states may affect the energy gap law in that the roughly exponential decrease of the nonradiative rate constant with increasing energy gap is reduced or even reversed when the excited state approaches a second excited state to which it is vibronically coupled by the inducing mode. The model is also used to test, both analytically and numerically, the validity of approximate formulas for the calculation of matrix elements of the nuclear kinetic-energy operator. It is shown that the corresponding integrals are not normally separable into inducing and accepting mode integrals and that, when separation is possible, the accepting mode integrals are not simply overlap integrals. Treatments based on the Herzberg–Teller expansion and either Rayleigh–Schrödinger or Tanaka–Fukuda perturbation theory are shown to give rise to very large errors. These differences are traced back to differences in the diabatic basis sets used to expand adiabatic wavefunctions.
    Vibronic coupling
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    Structures of ground and excited states of C isotopes are theoretically investigated with the method of antisymmetrized molecular dynamics. For 14C, it is suggested that a linear-chain 3a structure can be stabilized by the excess neutrons and may construct an rotational band near the 10Be+α threshold energy. In 11C and its mirror nucleus 11B, a cluster gas state and a linear-like cluster state are suggested in excited states. Possible assignment of the cluster states in 11B with the experimental energy levels are discussed. Deformations of proton and neutron densities of the ground bands in neutron-rich C are also discussed.