Abstract
Within the non-relativistic approach to photo-absorption sum rules for the 3N(4N)-nuclei the new σ −1 sum rules are proposed which are based on general chargesymmetry (CS) consequences for the “CS-conjugated” triton and 3 He and the CS-self-conjugated 4 He . Combining the relativistic constituent quark model of the nucleon and the known spin-,isospin- and the dipole-moment fluctuation sum rules, the relevant moments of the quark coordinate distribution and correlation functions in the ground state of the nucleon are derived and discussed.
Highlights
Solving the system of the linear equations and evaluating the RV,JP,N,V with the help of experimentally known partial amplitudes of main photoexcited resonances, we find our final results for the numerical values α, β and the opening angle θ12 and θ13 between vectors d1 and d2 and vectors d1(2) and d3: α1/2 = 0.75 ± 0.06 f, (16)
The generalization of the non-relativistic Foldy-Khokhlov sum rules is proposed for the "CSmirror" 3He -3H and the "CS-self-conjugate" 4He nuclei
The relativistic current-algebra and dispersion relation based sum rule establishing new relation between characteristics of the electron bound in the hydrogen-like, highly-charged ions is checked numerically
Summary
The observed effects of the structure-dependent asymmetries in the static electromagnetic characteristics of hadrons, such as parameters of form-factors or coefficients of the electromagnetic polarizability, or in characteristics of processes induced by lepton- or photon-hadron interactions, e.g., total or partial cross sections, are known as very useful means to study and to understand the underlying dynamics. In this work we shall concentrate mainly on two topics: the sum rules for static electromagnetic characteristics of hadrons and the role of the dynamical short-range correlations of nuclear constituents in description of the behavior of the total and polarized photonuclear or photon-nucleon cross section. As it is known, the non-relativistic dipole sum rules continue to be a useful tool in the theory of the atomic and nuclear photo-effect. Where for the anomalous magnetic moment of the atom we used the total magnetic moment of electron bound in the lowest S-wave orbit [14]
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