Solving q-Virasoro constraints

Letters in Mathematical Physics - We show how q-Virasoro constraints can be derived for a large class of (q, t)-deformed eigenvalue matrix models by an elementary trick of inserting...     

The16O(d,n)17F reaction at deuteron energies from 2.5 to 5.5 MeV

The¹⁶O(d, n)¹⁷F transitions to the ground state and to the first excited state were studied in the deuteron energy range 2.5–5.5 MeV. Time-of-flight techniques and gas targets were used. Differential cross sections in the angular range 0–160? at deuteron energies from 3.0 to 5.5 MeV in steps of 0.5 MeV were recorded as well as yield curves at 0 and 30? from 2.5 to 5.5 MeV in steps of 100 keV. DWBA calculations using seven different deuteron optical potentials were performed. It is found that the spectroscopic factors depend strongly on the choice of deuteron optical potential. The ratio between the spectroscopic factors for the ground state and for the first excited state varies between 0.9 and 1.7 for various choices. The most straightforward choice gives the ratio 1.4. Similar studies at higher deuteron energies have yielded ratios close to unity.     

High-resolution UV photoelectron spectrum of CO2

The highly-resolved HeI photoelectron spectrum of CO₂ is presented and its vibrational structure studied in detail. In the X? ²Π_g ionic state the v₃ antisymmetric mode is found to be excited in double quanta (v_1-v_2-v₃ = 0. 0. 2) with energy hv₃ = 181 meV. In the C? ²Σ_g⁺ state a single quantum of the same mode is found to be excited (hv₃ = 189 meV) in combination with a v₁ excitation. Vibronic interaction with vibrational levels in the B? ²Σ_u⁺ state of the ion is suggested to promote this (1, 0, 1) excitation. It is established that inelastic scattering processes contribute to the vibrational structure in the C? ²Σ_g⁺ band. The spin-orbit splitting in the X? ²Π_g is determined to be 19±1 meV and 10±2 eV in the ā²Π_u state. Vibronic structure is resolved in the X? ²Π_g band where the Renner-Teller coupling constant is determined to be ? = 0.21±0.02 and the vibrational energy of the v₂ mode as 60±7 meV. In the ā²Π_u state the v₂ energy is found to be hv₂ = 60 meV from the observed hot-band structure.