Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in the fluxtube-quark system the topology of a baryon consisting of three heavy flavor quarks resembles that of the fractional quantum Hall effect (FQHE) in condensed matter. This similarity yields the result that the constituent quarks of baryon have the 'filling factor' 1/3, thus the previous conjecture that quark confinement is a correlation effect is confirmed. Moreover, by deriving a Hamiltonian of the system analogous to that of FQHE, we predict an energy gap for the ground state of a heavy three-quark system.
Arguments are provided which show that extension of renormalizability in quantum field theory is possible. By an appropriate choice of effective Lagrangian, a dressed Feynman propagator is obtained. In this scheme, higher order Feynman diagrams become self-convergent and nonrenormalizable interactions become renormalizable. As an example, the vacuum fluctuation effects on ρ meson mass for the vector-tensor coupling model is discussed. It is found that the result can agree with the experimental value when coupling constant is adjusted.
We study the effective masses of ρ-mesons for dfferent charged states in asymmetric nuclear matter (ANM) using the Quantum Hadrodynamics II model. The closed form analytical results are presented for the effective masses of ρ-mesons. We have shown that the different charged ρ-mesons have mass splitting similar to various charged pions. The effect of the Dirac sea is also examined, and it is found that this effect is very important and leads to a reduction of the different charged ρ-meson masses in ANM.
It is shown that a novel anomaly associated with transverse Ward-Takahashi identity exists for a pseudotensor current in QED, and the anomaly gives rise to a topological index of a Dirac operator in terms of an AtiyahSinger index theorem.
By using the rigorous spectral representation of relativistic random phase approximation, the low-lying excitation of finite nuclei and its longitudinal response function for quasielastic electron scattering are calculated in the σ-ω model of quantum hadrodynamics. It is shown that the reproduction of the correct order of the 1 and 3 excitation states of 16 O is due to the contribution of the exchange vertex. There is no significant influence of the retardation effect on the low-lying excitation states. In contrast, the retardation effect plays an important role in the electron scattering process of nuclei. The theoretical longitudinal responses of 12 C and 40 Ca, including the contributions of the exchange vertex and the retardation effect, are suppressed and reproduce the experimental data better than the results excluding them.
Λ(1405) is considered as a superposition of two resonances instead of a simple bound state of the kaon and proton. Within the framework of the Brueckner-Hartree-Fock(BHF) theory, we have investigated the Kˉ nuclear systems (S = -1), especially K-pp and K-pnn(T = 1). The binding energy BK- is 23 MeV (3 MeV) and the width Γ is 62 MeV (56 MeV) for K-pp(K-pnn(T =1)).
Using a new phenomenological KN interaction which reproduces Λ(1405) as an I = 0 bound state of KN, we have investigated K--3 He(T=0) and K--4 He(T=1/2) within the framework of the Brueckner-Hartree-Fock(BHF) theory. Our calculations show that the above kaonic nuclear systems are both deeply bound. The binding energy BK-is 124.4 MeV(94.1 MeV) and the width Γ is 11.8 MeV(25.8 MeV) for K--3He(T=0)(K--4He(T =1/2)).
