- th / 0 20 60 65 v 1 2 6 Ju n 20 02 Semiclassical evaluation of average nuclear one and two body matrix elements
نویسندگان
چکیده
Thomas-Fermi theory is developed to evaluate nuclear matrix elements on the average. One and two body matrix elements are compared with quantal results and it is demonstrated that the semiclassical matrix elements nicely follow the quantal values on the mean. Various physical situations are ad-dresed where the semiclassical evaluation of the one and two body matrix elements can be useful.
منابع مشابه
0 20 60 65 v 2 7 A pr 2 00 3 Semiclassical evaluation of average nuclear one and two body matrix elements
Thomas-Fermi theory is developed to evaluate nuclear matrix elements averaged on the energy shell, on the basis of independent particle Hamiltonians. Oneand two-body matrix elements are compared with the quantal results and it is demonstrated that the semiclassical matrix elements, as function of energy, well pass through the average of the scattered quantum values. For the one-body matrix elem...
متن کامل- th / 0 20 60 67 v 1 2 7 Ju n 20 02 Mass Number Dependence of Nuclear Pairing
Large scale Hartree-Fock-Bogoliubov (HFB) calculations with the finite-range Gogny force D1S have been performed in order to extract the corresponding theoretical average mass dependence of the nuclear gap values. Good agreement with experimental data from the three-point filter ∆(3)(N) with N odd has been found for both the neutron and proton gaps. The results of our study support earlier find...
متن کامل- th / 0 01 20 50 v 2 1 7 Ja n 20 01 Symmetries and Degeneracies when T = 0 Two Body Matrix Elements are Set Equal to Zero Shadow
The effect of setting all T=0 two body interaction matrix elements equal to a constant (or zero) in shell model calculations (designated as < T = 0 >= 0) are investigated. Despite the apparent severity of such a procedure, one gets fairly reasonable spectra. We find that using < T = 0 >= 0 in single j shell calculations degeneracies appear e.g. the I =
متن کاملl - th / 0 50 60 55 v 1 1 6 Ju n 20 05 Single particle calculations for a Woods - Saxon potential with triaxial deformations , and large Cartesian oscillator basis B . MOHAMMED - AZIZI
We present a computer program which solves the Schrodinger equation of the stationary states for an average nuclear potential of Woods-Saxon type. In this work, we take specifically into account triaxial (i.e. ellipsoidal) nuclear surfaces. The deformation is specified by the usual Bohr parameters. The calculations are carried out in two stages. In the first, one calculates the representative m...
متن کاملar X iv : m at h - ph / 0 20 60 21 v 1 1 3 Ju n 20 02 Quantum Systems Exactly Habilitation
ly as 2-cochain: Fa = ρ ∗ ◦ 1 2 (θ − θ)∂i ∧ ∂k = ρ ◦ 1 2 (f )jlθ θ∂i ∧ ∂k (5.85) with θf = θf , or f ′ = 1 1 + fθ f, (5.86) 5.2. ORDINARY VERSUS NONCOMMUTATIVE GAUGE THEORY 99 which we recognize as the noncommutative field strength (with lower indices) for constant f , θ [128]. The general result for non-constant f , θ is thus simply obtained by the application of the covariantizing map ρ (afte...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002