Nuclear energy density functionals constrained by low-energy QCD

Relativistic nuclear energy density functionals are formulated and developed, guided by two important features that establish connections with chiral dynamics and the sym- metry breaking pattern of low-energy QCD: a) strong scalar and vector fields related to in-medium changes of QCD vacuum condensates; b) the long- and intermediate-range interactions generated by one-and two-pion exchange, derived from in-medium chiral per- turbation theory.

Pion exchange interaction in the γp → pe+e− reaction

The [Formula: see text] interference has been studied in the dilepton invariant mass distribution spectra in the photonuclear reaction, but that is not done for the gamma-nucleon reaction. In the recent past, the [Formula: see text] invariant mass distribution spectrum in the [Formula: see text] reaction, i.e., [Formula: see text] reaction, was measured at Jefferson Laboratory to look for the [Formula: see text] interference in the multi-GeV region. To study the mechanism of this reaction, the differential cross section of the [Formula: see text] invariant mass distribution is calculated in the quoted energy region. The reaction is assumed to proceed as [Formula: see text]; [Formula: see text], where [Formula: see text] denotes a vector meson, i.e., either [Formula: see text] or [Formula: see text] meson. The photoproduction of the vector meson is described by the Vector Meson Dominance (VMD) model which consists of diagonal and off-diagonal processes. The diagonal process is described as [Formula: see text]. The low-energy [Formula: see text] meson photoproduction data is well described by the off-diagonal process which is illustrated as [Formula: see text]. The reaction [Formula: see text] proceeds due to one pion exchange interaction. The differential cross-sections of the [Formula: see text] reaction due to the above processes of VMD model are compared, and the significance of the pion exchange interaction is investigated in the energy region of [Formula: see text] beam available at Jefferson Laboratory.

Propagation of Uncertainties of the Nucleon-Nucleon Potential to the Neutron-Deuteron Elastic Scattering Cross Section

Faddeev formalism is used to study the propagation of theoretical uncertainties from the two-nucleon force to three-nucleon scattering observables. Predictions are obtained with the One-Pion-Exchange Gaussian interaction, for which correlations between its parameters are known. Within the Monte Carlo approach we are able to estimate uncertainties of three-nucleon observables arising from the imprecise knowledge of the One-Pion-Exchange Gaussian potential parameters. We found that the uncertainties of this type are small for three-nucleon elastic scattering cross section at investigated here energies up to the nucleon laboratory energy of 200 MeV. They remain smaller than the dominant theoretical uncertainty arising from using various models of nucleon-nucleon interactions. We also compare the above-mentioned results with other types of theoretical uncertainties, that is with the ones stemming from order truncation errors and regulator dependencies, present in calculations based on the chiral interaction.