A theoretical framework is suggested for the calculation of γN → ∆ transition form factors using the light-cone sum rule approach. Leading-order sum rules are derived and compared with the existing experimental data. We find that the transition form factors in a several GeV region are dominated by the “soft” contributions that can be thought of as overlap integrals of the valence components of ...

Thermal oscillations of base pairs in the Peyrard-Bishop-Holstein model are simulated by stochastic fluctuations of base overlap integrals. Numerical investigation of the model is carried out for a hole transfer in G1A2G3G4 sequence which was previously studied experimentally by F. Lewis et al. A hole migration between G1 and G3G4 is determined by the matrix elements of the charge transition, b...

We show how the charge symmetry of strong interactions can be used to relate the proton and neutron asymptotic normalization coefficients (ANCs) of the one-nucleon overlap integrals for light mirror nuclei. This relation extends to the case of real proton decay where the mirror analog is a virtual neutron decay of a loosely bound state. In this case, a link is obtained between the proton width ...

Focusing on relative stabilities of electronic states with different spin multiplicities of polyatomic molecules, a simplified unrestricted Hartree-Fock (SUHF) procedure is described. Using different orbitals for different spins (DODS), electron correlation effects of both closed-shell and open-shell systems are expected to be taken into account in the simplest way. While working within a symme...

in this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. the method is applied to a few test examples to illustrate the accuracy and the implementation of the method

minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. also related inequalities to minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. several examples are given to illustrate the validity of theorems. some results on chebyshev and minkowski type inequalities are obtained.

Abstract We formulate a computational method to evaluate the overlap integral of shell-model and cluster-model wave functions. The framework is applied system core plus two neutrons, magnitude configuration (core + $n$ $n$) di-neutron cluster one $2n$) explored. have found that prominently enhanced when neutrons occupy orbits with low orbital angular momenta, such as $s$- $p$-wave orbits. shell...

A light-cone wavefunction interpretation is presented for the polarized distribution functions h1(x) and h2(x). All matrix elements for moments of these distributions are given in terms of overlap integrals between Fock state amplitudes of the target state. In a suitable spinor basis, h1(x) involves only diagonal matrix elements so can be interpreted as a density. Matrix elements of h2(x) conne...

Semileptonic decays of heavy baryons consisting of one heavy (Q = b, c) and two light (q = u, d, s) quarks are considered in the heavy-quark–light-diquark approximation. The relativistic quasipotential equation is used for obtaining masses and wave functions of both diquarks and baryons within the constituent quark model. The weak transition matrix elements are expressed through the overlap int...

We study the properties of mode-mode interactions for waves propagating in nonlinear disordered one-dimensional systems. We focus on (i) the localization volume of a mode which defines the number of interacting partner modes, (ii) the overlap integrals which determine the interaction strength, (iii) the average spacing between eigenvalues of interacting modes, which sets a scale for the nonline...