Energy Dependence Of Matrix Element Research Articles

Simple Calculation of Reactor Antineutrino Energy Spectrum by the Use of Nuclear Data Libraries

We calculated the nuclear reactor antineutrino spectrum on the basis of nuclear data libraries (JENDL-3.2, JNDC-V2). The antineutrino spectrum was first calculated with neglecting energy dependence of matrix element, and the result had tendency to be larger than the experimental data in the high energy region. We introduced an adjustable parameter for correcting the spectrum calculation. The method gives a good agreement between calculated and experimental spectra.

Influence of non-parabolicity on intravalley electron-phonon scattering; the case of bismuth

The influence of the coupling between valence and conduction bands on the scattering of electrons by acoustic phonons is investigated for the case of bismuth. The calculation is based on a model employed previously for the lead chalcogenides and InSb. Elements of the weak field thermodynamic tensor have been analysed at low temperatures (T<80K) to give the energy dependence of the electron-phonon matrix element which is required in order to reproduce the experimental values. The dependence obtained implies that only the momentum plays a role, not the dispersion relations. For higher temperatures, the band structure of bismuth is known to vary, but the information is incomplete. Retention at high temperatures of the energy dependence of the matrix element found at low temperatures and with the requirement that the measured thermoelectric power be reproduced also leads to a change of the mass anisotropy with temperature.

Partial differential matrix equations for generalized hypergeometric functions

A method of handling a number of generalized hypergeometric functions in terms of first-order partial differential matrix equations is introduced. This method has many advantages in formal manipulations and in numerical integration. In particular, it allows investigation of the energy dependence of matrix elements arising in scattering problems in quantum mechanics.

Application of a vector-meson dominance model to K3π and η3α decaysdecays

p-wave contributions to K→3π and η→3π decays are studied by means of a vector-meson dominance model. Thep-wave decay rate for Ks→3π is estimated. Dalitz-plot fits using the energy dependence of matrix elements from the above model, andp-wave decay rate estimates using a generalized spurion concept yield reasonably consistent results for thep-wave contribution to these decays.