The effect of confined one-gluon-exchange potential and instanton-induced interaction potential in the singlet(1S0)and triplet(3S1)channels for nucleon–nucleon interaction has been investigated in the framework of th...The effect of confined one-gluon-exchange potential and instanton-induced interaction potential in the singlet(1S0)and triplet(3S1)channels for nucleon–nucleon interaction has been investigated in the framework of the relativistic harmonic model using the resonating group method in the adiabatic limit with the Born–Oppenheimer approximation.The contributions of the different components of the interaction potentials have been analyzed.展开更多
We discuss the possibility of constructing an effective gauge field theory of the nucleon interactions based on the ideas of isotopic invariance as well as hypercharge invariance as a local gauge symmetry and spontane...We discuss the possibility of constructing an effective gauge field theory of the nucleon interactions based on the ideas of isotopic invariance as well as hypercharge invariance as a local gauge symmetry and spontaneous breaking of this symmetry.The constructed effective field theory predicts the structure of interactions of protons and neutrons withρ-andσ-mesons,and with pi-mesons and photons,as well as interactions of these particles with each other.The Lagrangian of the theory consists of several parts involving dimension 4 and 5 gauge invariant operators.Feynman rules for physical degrees of freedom that follow on from the Lagrangian define the structure of diagrams for one-boson exchanges between nucleons,predicting the internucleon one-boson-exchange potential as well as nucleon scattering amplitudes.The range of applicability of the effective theory is discussed and estimates are made of the resulting coupling constants.The theory predicts the mass of the neutralρ^(0)-meson to be about 1 MeV larger than the mass of the charged mesonsρ^(±).The vectorω-meson,which is a sterile particle with respect to the considered gauge group SU_(I)(2)×U_(Y)(1),can be added to the scheme via a gauge-invariant operator of dimension 5,as shown in the appendix.展开更多
Abstract: Various estimates of the even-odd effect of the mass shell of atomic nuclei are considered. Based on the experimental mass values of the Ca, Sn, and Pb isotopes, the dependence of the energy gap on the neut...Abstract: Various estimates of the even-odd effect of the mass shell of atomic nuclei are considered. Based on the experimental mass values of the Ca, Sn, and Pb isotopes, the dependence of the energy gap on the neutron number is traced and the relationship of this characteristic to the properties of external neutron subshells is shown. In nuclei with closed proton shells, effects directly related to neutron pairing and effects of nucleon shells are discussed.展开更多
文摘The effect of confined one-gluon-exchange potential and instanton-induced interaction potential in the singlet(1S0)and triplet(3S1)channels for nucleon–nucleon interaction has been investigated in the framework of the relativistic harmonic model using the resonating group method in the adiabatic limit with the Born–Oppenheimer approximation.The contributions of the different components of the interaction potentials have been analyzed.
基金supported by grant 22-12-00152 of the Russian Science Foundation。
文摘We discuss the possibility of constructing an effective gauge field theory of the nucleon interactions based on the ideas of isotopic invariance as well as hypercharge invariance as a local gauge symmetry and spontaneous breaking of this symmetry.The constructed effective field theory predicts the structure of interactions of protons and neutrons withρ-andσ-mesons,and with pi-mesons and photons,as well as interactions of these particles with each other.The Lagrangian of the theory consists of several parts involving dimension 4 and 5 gauge invariant operators.Feynman rules for physical degrees of freedom that follow on from the Lagrangian define the structure of diagrams for one-boson exchanges between nucleons,predicting the internucleon one-boson-exchange potential as well as nucleon scattering amplitudes.The range of applicability of the effective theory is discussed and estimates are made of the resulting coupling constants.The theory predicts the mass of the neutralρ^(0)-meson to be about 1 MeV larger than the mass of the charged mesonsρ^(±).The vectorω-meson,which is a sterile particle with respect to the considered gauge group SU_(I)(2)×U_(Y)(1),can be added to the scheme via a gauge-invariant operator of dimension 5,as shown in the appendix.
文摘Abstract: Various estimates of the even-odd effect of the mass shell of atomic nuclei are considered. Based on the experimental mass values of the Ca, Sn, and Pb isotopes, the dependence of the energy gap on the neutron number is traced and the relationship of this characteristic to the properties of external neutron subshells is shown. In nuclei with closed proton shells, effects directly related to neutron pairing and effects of nucleon shells are discussed.