Exact wave functions of the scattering states of two spinless particle systems are found for delta-potential and derivative of delta-potential. Angular momentum is taken to be zero. The expressions for scattering amplitudes, S-matrix and phase shifts are calculated.
Новые поступления электронной библиотеки
2023-02-22
A relativistic inverse problem is solved for the case when the total quasipotential simulating the interaction of two relativistic spinless particles of unequal masses is the superposition of a local quasipotential and a sum of nonlocal separable quasipotentials. The problem is investigated within the relativistic quasipotential approach to quantum field theory. The local component of total interaction is supposed to be known and it not admits bound states. It is shown that the nonlocal separable components of total interaction may be reconstructed if its the local component, the phase-shift additions and the true bound state energy are known.
2023-02-22
We discuss the possibility of identifying the effects of graviton exchange in extra dimensions from other new physics scenarios parametrized by the four-fermion compositeness-inspired contact interactions, and viceversa, using the polarized differential cross section in high energy e+ e- annihilation into fermion-pairs.
2023-02-21
The η, η' system was under investigation. Mixing angles for octet-singlet mixing and for quark-flavor bases were fixed. The decay constants of radiative V —> Pו and P —> Vו (P = η, η' ; V = р, w, ϕ) decays were calculated. The weak decay constants for η, η' mesons were concidered. We have obtained the numerical relations between constants in different bases.
2023-02-21
Arkani-Hamed, Dimopoulous, and Dvali have proposed a model (ADD) of low-scale quantum gravity featuring large extra dimensions. In this model, the exchange of Kaluza-Klein towers of gravitons can enhance the production rate of lepton pairs at high invariant mass in proton-proton collisions at the LHC. By considering the present and future LHC energy regimes, we reanalyse the potential of the LHC to
discover the effects of large extra dimensions and to discriminate between various theoretical models. Specifically, in latter case we explore the capability of the LHC to distinguish spin-2 Kaluza-Klein towers of gravitons exchange from other new physics effects which might be conveniently parametrized by the four-fermion contact interactions. We find that the LHC with planned energy 14 TeV and luminosity 100 fb-1will be capable of discovering (and identifying) graviton exchange effects in the large extra dimensions with the cutoff parameter of order Ms = 6.2 TeV (4.8 TeV) for d= 6 and Ms = 8.8 TeV (6.8 TeV) for d = 3.
2023-02-21
We discuss the potential to search for unparticle physics associated with the scale invariant sector proposed by Georgi in the W boson pair production processes in electron-positron collisions at the International linear collider (ILC). unparticle physics associated with the scale invariant sector proposed by Georgi. We have shown that the unparticle contributions are quite comparable with standard model (SM) specially for low values of non-integral scaling dimension (du) and hence it is worthwhile to explore in current and future colliders. The ILC sensitivity to the spin-2 Unparticles parameters was compared for unpolarized and polarized initial electron and positron beams.
2023-02-20
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