Abstract:The multirank separable kernels of the neutron-proton interaction for uncoupled S and P partial waves (with the total angular momentum J=0,1) are proposed. Two different methods of a relativistic generalization of initially nonrelativistic form factors parametrizing the kernel are considered. Using the constructed kernels the experimental data for phase shifts in the elastic neutron-proton scattering for the laboratory energy up to 3 GeV and lowenergy parameters are described. The comparison of our results wit… Show more
“…A relativistic complex multirank separable potential of the neutronproton system was proposed in Ref. [57,58]. The approach we use here furnishing both relativity and inelasticity has already been exploited in the much higher energy range covering from ISR up to LHC, √ s = 25 − 7000GeV [59,60].…”
The repulsive short distance core is one of the main paradigms of nuclear physics which even seems confirmed by QCD lattice calculations. On the other hand nuclear potentials at short distances are motivated by high energy behavior where inelasticities play an important role. We analyze NN interactions up to 3 GeV in terms of simple coarse grained complex and energy dependent interactions. We discuss two possible and conflicting scenarios which share the common feature of a vanishing wave function at the core location in the particular case of Swaves. We find that the optical potential with a repulsive core exhibits a strong energy dependence whereas the optical potential with the structural core is characterized by a rather adiabatic energy dependence which allows to treat inelasticity perturbatively. We discuss the possible implications for nuclear structure calculations of both alternatives.
“…A relativistic complex multirank separable potential of the neutronproton system was proposed in Ref. [57,58]. The approach we use here furnishing both relativity and inelasticity has already been exploited in the much higher energy range covering from ISR up to LHC, √ s = 25 − 7000GeV [59,60].…”
The repulsive short distance core is one of the main paradigms of nuclear physics which even seems confirmed by QCD lattice calculations. On the other hand nuclear potentials at short distances are motivated by high energy behavior where inelasticities play an important role. We analyze NN interactions up to 3 GeV in terms of simple coarse grained complex and energy dependent interactions. We discuss two possible and conflicting scenarios which share the common feature of a vanishing wave function at the core location in the particular case of Swaves. We find that the optical potential with a repulsive core exhibits a strong energy dependence whereas the optical potential with the structural core is characterized by a rather adiabatic energy dependence which allows to treat inelasticity perturbatively. We discuss the possible implications for nuclear structure calculations of both alternatives.
“…The comparison with the relativistic interaction kernel Graz II [29] is not presented because using it the phase shifts and the mixing parameter cannot be calculated in the whole energy range where these observables are known. As it was discussed in [17,34], in this case when T Lab exceeds some limit value depending on the parameters in separable form factors it is impossible to perform numerical calculations in principle, whereas our aim is to compare our MY6 and MYQ6 with results of other models in a wide energy range. Wherever it is possible to use the relativistic Graz II at high energies we make a comparison with it.…”
Section: Calculations and Resultsmentioning
confidence: 99%
“…However, to make a conclusion it is necessary to take into account other effects, like the final state interaction (FSI) and two-body currents. This was impossible before because of problems with calculations, as it was discussed in [34]. Now these difficulties are obviated and it is planned to perform calculations of observables with FSI using the elaborated model and the results of our previous work [34] in near future.…”
Section: Discussionmentioning
confidence: 99%
“…Performing the partial-wave decomposition (see details in [17,34]) of the T matrix and interaction kernel V we can rewrite the BS equation for the off-shell partial-wave amplitudes:…”
Section: Bethe-salpeter Formalismmentioning
confidence: 99%
“…The problem can be solved by using the modified form factors [30]. This idea was developed in [31][32][33][34] for the description of uncoupled partial-wave states in the elastic np scattering for T Lab up to 3 GeV.…”
Within a covariant Bethe-Salpeter approach a rank-six separable neutron-proton interaction kernel for the triplet coupled 3 S 1 -3 D 1 partial-wave state is constructed. Two different methods of a relativistic generalization of initially nonrelativistic form factors parametrizing the kernel are considered. The model parameters are determined by fitting the elastic 3 S 1 and 3 D 1 phase shifts and the triplet scattering length as well as the asymptotic D/S ratio of the deuteron wave functions and the deuteron binding energy. The D-state probability constraints 4-7% are taken into account. The deuteron magnetic moment is calculated. The half-off-shell properties are further demonstrated by the Noyes-Kowalski functions. The first test of the constructed kernel is performed by calculating the deuteron electrodisintegration at three different kinematic conditions.
The paper considers the electrodisintegration of the deuteron for kinematic conditions of the JLab experiment E-94-019. The calculations have been performed within the covariant Bethe-Salpeter approach with a separable kernel of nucleonnucleon interactions. The results have been obtained using the relativistic plane wave impulse approximation and compared with experimental data and other models. The influence of nucleon electromagnetic form factors has been investigated.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.