Internal geometry of hadron resonances

Motivated by previous work on high-energy quantum mechanics, a simple model is devised to study the internal geometry of hadron resonances. In this model we assume new basic canonical commutation relations between the (internal) coordinate and momentum operators of the hadronic quantum system. By systematically imposing Lie algebra commutation relations between these and other observables, we discuss the free and bound particle problems, identifying in each case the corresponding internal symmetries. For the bound particle problem, which models quark confinement, this symmetry turns out to be characterized by Dirac's two-oscillator representation of theO(3, 2) de Sitter group.     

Production of hadron resonances in heavy-ion collisions

The role of microscopic kinetics in the production of short-lived (broad) hadron resonances from subhadronic nuclear matter is considered. Anew approach to calculating the multiplicity of broad meson resonances is proposed. This approach takes explicitly into account the possibility that massive constituent quarks play a decisive role at the last stage of the expansion and cooling of matter produced in the central collisions of relativistic heavy nuclei. The resulting theoretical estimates are comparedwith available experimental data, and some quantitative and qualitative predictions are made.     

Relativistic harmonic oscillator model and electroproduction of low-lying resonances

By using the four-dimensional relativistic harmonic oscillator model, the Q²-evolution of the helicity amplitudes of the low-lying resonances P₃₃(1232), S₁₁(1535), and D₁₃(1520) are estimated. The results show that the Lorentz contraction causes remarkable effects on those helicity amplitudes.     

Three-body hadronic structure of low-lying 1/2+ Σ and Λ resonances⋆

We discuss the dynamical generation of some low-lying 1/2⁺ Σ 's and Λ 's in two-meson one-baryon systems. These systems have been constructed by adding a pion in the S -wave to the ˉN pair and its coupled channels, where the 1/2^- Λ(1405) -resonance gets dynamically generated. We solve Faddeev equations in the coupled-channel approach to calculate the T -matrix for these systems as a function of the total energy and the invariant mass of one of the meson-baryon pairs. This squared T -matrix shows peaks at the energies very close to the masses of the strangeness -1 , 1/2⁺ resonances listed in the particle data book.     

Neutron capture gamma-rays from the low-lying resonances of 54Fe

Neutron capture γ-rays have been observed from the low-lying resonances of ⁵⁴Fe using the Harwell electron linear accelerator HELIOS as a neutron source. Relative values for the partial radiative widths of resolved lines were obtained by area analysis of the γ-rays peaks over neutron resonance regions, and absolute values were obtained by a shape analysis fit to the yield deduced by comparison with a ¹⁰B(n, αγ)⁷Li measurement. For the 7.8 keV s-wave resonance, a comparison of the partial widths with the predictions of the valence model has been made. In both relative and absolute senses, there is good agreement.     

Search for low-lying resonances in electron scattering by atomic hydrogen

Measurements of the transmission of an energy-selected electron beam through atomic hydrogen fail to indicate any resonance below 9·5-eV electron energy. The negative result contradicts recent suggestions by Rudkjøbing and by Van Rensbergenthat some diffuse interstellar absorption bands might be attributable to preionizing transitions in the hydrogen negative ion. A bulk of reliable theoretical data, however, justifies our finding.     

Magnetic properties of two-dimensional charged spin-1 Bose gases

Within the mean-field theory, we investigate the magnetic properties of a charged spin-1 Bose gas in two dimensions. In this system the diamagnetism competes with paramagnetism, where the Landé factor g   is introduced to describe the strength of the paramagnetic effect. The system presents a crossover from diamagnetism to paramagnetism with the increasing of the Landé factor. _gc$g_c$ denotes the critical value of the Landé factor. We get the same value of _gc$g_c$ both in the low temperature and strong magnetic field limit. Our results also show that in very weak magnetic field no condensation happens in the two-dimensional charged spin-1 Bose gas.     

Effect of low-lying collective states on the structure of giant resonances

The influence of coupling of the usual particle-hole states to particle-hole states built on a collective state has been estimated. Numerical calculations are performed for Ni⁶⁰Zr⁹⁰ and²⁰⁸Pb.     

The deconfining phase transition - influence of hadron resonances and strangeness

A model is developed for the hadron gas to the quark-gluon plasma phase transition which includes finite light quark and strange quark chemical potentials. A new generalized phase diagram incorporating the effects of strange particles is introduced and shows the strange chemical potential to be discontinuous. The influence of strange particles on the critical thermodynamic variables is found to be small.     

On biquadratic exchange interactions in spin-1 systems

It is showed rigorously that the spin-1 Ising-like Hamiltonian with biliniar and biquadratic exchange interactions and a Hamiltonian with uniaxial and biaxial quadrupolar pair interactions have exactly the same thermodynamic properties. Consequences of the theore, are discussed.     

In-medium modifications of hadron properties

The in-medium modifications of hadron properties are briefly discussed. We restrict the discussion to the lattice QCD calculations for the hadron masses, screening masses, decay constants and wave functions. We review the progress made so far and describe how to broaden its horizon.     

Influence of giant angular resonances on the electromagnetic characteristics of low-lying states

The two-rotor model0 with the Feshbach projection operator method is applied for investigating the properties of the positive parity low-lying collective states in the rare earth nuclei. The calculations of the energy spectra, E2-transition probability and magnetic properties of the states of β- and γ-bands are carried out for the isotopes ^{164, 166, 168}Er. The B(M1) values from 1⁺ states to the ground band are estimated.     

The paramagnetic properties of one-dimensional spin-1 single-ion anisotropic ferromagnet

One-dimensional single-ion anisotropic ferromagnet with spin-1 is investigated by means of Green's function treatment in this paper. The model Hamiltonian includes a Heisenberg ferromagnetic term, an external magnetic field, and a second-order single-ion anisotropy. The magnetic properties of the system are treated by the random phase approximation for the exchange interaction term and the Anderson-Callen approximation for the anisotropy term. Our paramagnetic results are in agreement with the other theoretical results.     

Electromagnetic transitions of low-lying nucleon resonances in point form relativistic quantum mechanics

Point form relativistic quantum mechanics is employed to calculate the electromagnetic transition amplitudes of low-lying nucleon resonances. The results obtained are compared with the non-relativistic approach and other model calculations. Differences among them are discussed.     

Critical properties of mixed spin-1 and spin-5/2 with equal and unequal crystal fields

The effects of assuming equal or unequal crystal fields (CF) on the phase diagrams of a mixed spin-1 and spin-5/2 system are investigated in terms of the recursion relations on the Bethe lattice (BL). The equal CF case was considered for the coordination numbers q=3, 4, and 6, while for q=3 the unequal CF case was also studied. It was found that for the equal CF case, the model exhibits second-order phase transitions and two compensation temperatures for all q, the reentrant behavior for q=4 and first-order phase transitions and tricritical point (TCP) for q=6. In the unequal CF case for q=3, the system yields first- and second-order phase transitions, TCP's, and three compensation temperatures. In addition, the TCP's in a very short range are classified as the stable and unstable ones depending on their free energies.     

Magnetic properties of a mixed spin-1/2 and spin-3/2 transverse Ising model

A theoretical study of a mixed spin-1/2 and spin-3/2 Ising system with independent transverse fields is presented using an effective field method within the framework of a single-site cluster theory. In this approach the effective field equations are derived using a probability distribution method based on the use of generalized van der Waerden identities accounting exactly for the single-site kinematic relations. The effect of the transverse fields on the critical behaviour is studied. The thermal dependence of the longitudinal and transverse components of the magnetization and its higher moments is also studied.     

On the 1g2 corrections to hadron masses

The strong coupling limit of lattice QCD is reviewed and the important corrections of order $\text{1}\text{g}{}^2$ to the pion, rho, nucleon and delta masses are computed with Wilson's fermion method. The nucleon-delta mass difference is obtained by decomposing the baryon field into independent fields transforming in irreducible representations of the rotation-flavor group.     

Thermodynamic properties of the mixed spin-1/2 and spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies

The mixed spin-1/2 and spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies is solved exactly by means of a mapping to the spin-1/2 Ising chains with alternating transverse fields and the Jordan-Wigner transformation. Within this scheme, the thermodynamic quantities of this model are rigorously determined by a recursion formula derived for the partition function based on the reduced spin-1/2 transverse Ising model. The corresponding thermodynamic properties are calculated and discussed.