Search

We study excited states of the nucleon in quenched lattice QCD with the spectral analysis using the maximum entropy method. Our simulations are performed on three lattice sizes $16^3\times 32$, $24^3\times 32$ and $32^3\times 32$, at $\beta=6.0$ to address the finite volume issue. We find a significant finite volume effect on the mass of the Roper resonance for light quark masses. After removing this systematic error, its mass becomes considerably reduced toward the direction to solve the level order puzzle between the Roper resonance $N'(1440)$ and the negative-parity nucleon $N^*(1535)$., Comment: Lattice2003(spectrum), 3 pages, 4 figures

The electrical properties of a carbon nanotube depend strongly on its lattice structure as defined by chiral and translational vectors. A toroidal shape for a nanotube allows various twisted structures to exist along the direction of the tube axis. We theoretically investigate the kinematics of conducting electrons and persistent currents in toroidal carbon nanotubes. We show that persistent currents exhibit a special characteristic of the cylindrical lattice structure in twisted cases. We discuss the possibilities that the twist alters the period of the current to one half the flux quantum and that the current flows without an external magnetic field., Comment: 14 pages, 4 figures, added references (v2), improved presentation (v3)

We calculate the $\Lambda \Lambda \to YN$ transition rate of ${^{\phantom{\Lambda}6}_{\Lambda \Lambda}}$He by the hybrid picture, the $\pi$ and $K$ exchanges plus the direct quark processes. It is found that the hyperon-induced decay is weaker than the nucleon-induced decay, but the former may reveal the short-range mechanism of the weak transition and also give a clear signal of the strong $\Delta I=3/2$ transition. The $\Lambda \Lambda \to Y N$ transition in double-$\Lambda$ hypernucleus is complement to the $\Lambda N \to NN$ transition as it occurs only in the J=0 channel, while the J=1 transition is dominant in the $\Lambda N \to NN$ case., Comment: 9 pages

We present preliminary results from the first attempt to reconstruct the spectral function in the nucleon and $\Delta$ channels from lattice QCD data using the maximum entropy method (MEM). An advantage of the MEM analysis is to enable us to access information of the excited state spectrum. Performing simulations on two lattice volumes, we confirm the large finite size effect on the first excited nucleon state in the lighter quark mass region., Comment: Lattice2002(spectrum), Latex with espcrc2.sty, 3 pages, 3 figures

Conditions for intra and inter layer Coulomb interactions in multi-walled carbon nanotubes are derived from stability of capacitance excitations. It is pointed out, supposing the stability conditions are not satisfied, that the system has unstable modes which correspond to a charge transfer between layers or charge density oscillation in each layer depending on zero mode or non-zero modes. It is argued that the stability conditions can be broken when the vacuum polarization processes due to the massive bands are taken into account., Comment: 6 pages, 2 figures

This paper has been withdrawn by the author due to a crucial error., Comment: This paper has been withdrawn

The massive-band effects on screening behavior of metallic carbon nanotubes are theoretically investigated using two different methods; continuous and lattice quantum theories. Both approaches show screening of a localized external perturbation with an effective screening length of the order of the nanotube diameter. Calculating the nonlinear deformation of the local density of states near the charged perturbation, we show that the perturbative effects of the massive bands are effectively canceled by direct massive band interactions, such that a good agreement between the two methods can be achieved. The effective screening is important in nanoscale integration of nanotube-based electronic devices., Comment: 6 pages, 4 figures

Nonmesonic weak decays of the A=4, and 5 hypernuclei are studied. The short range parts of the hyperon-nucleon weak interactions are described by the direct quark (DQ) weak transition potential, while the longer range interactions are given by the $\pi$ and $K$ meson exchange processes. Virtual $\Sigma$ mixings of the coherent type are found to give significant effects on the decay rates of $^4_{\Lambda}{\rm He}$. A large violation of the $\Delta I = 1/2$ rule is predicted in the J=0 transition amplitudes., Comment: 17 pages, 2 figures

Charge screening effect in metallic carbon nanotubes is investigated in a model including the one-dimensional long-range Coulomb interaction. It is pointed out that an external charge which is being fixed spatially is screened by internal electrons so that the resulting object becomes electrically neutral. We found that the screening length is given by about the diameter of a nanotube., Comment: 11 pages, 6 figures

We investigate the positivity constraints for the structure functions of both virtual and real photon. From the Cauchy-Schwarz inequality we derive three positivity conditions for the general virtual photon case, which reduce, in the real photon case, to one condition relating the polarized and unpolarized structure functions., Comment: 10 pages, 1 ps figure, to appear Phys. Lett. B

Low energy excitations in carbon nanotubes can be described by an effective field theory of two components spinor. It is pointed out that the chiral anomaly in 1+1 dimensions should be observed in a metallic toroidal carbon nanotube on a planar geometry with varying magnetic field. We propose an experimental setup for studying this quantum effect. We also analyze the vacuum structure of the metallic toroidal carbon nanotube including the Coulomb interactions and discuss some effects of external charges on the vacuum., Comment: 10 pages, 11 figures

It is pointed out that the chiral anomaly in 1+1 dimensions should be observed in toroidal carbon nanotubes on a planar geometry with varying magnetic field. We show that the chiral anomaly is closely connected with the persistent current in a one-dimensional metallic ring., Comment: 5 pages, 4 figures

It is argued that the diffeomorphism on the horizontal sphere can be regarded as a nontrivial asymptotic isometry of the Schwarzschild black hole. We propose a new boundary condition of asymptotic metrics near the horizon and show that the condition admits the local time-shift and diffeomorphism on the horizon as the asymptotic symmetry., Comment: 18 pages, no figures, corrected some typos

We analyze systematically composable composite entropy of two Tsallis subsystems with different q indices. H-theorem and thermal balance relation are commented., Comment: 11 pages, no figures, to be published in proceedings of International Workshop on Classical and Quantum Complexity and Nonextensive Thermodynamics(Denton-Texas, April 3-6,2000)

An attempt is made to construct composable composite entropy with different $q$ indices of subsystems and address the H-theorem problem of the composite system. Though the H-theorem does not hold in general situations, it is shown that some composite entropies do not decrease in time in near-equilibrium states and factorized states with negligibly weak interaction between the subsystems., Comment: 25 pages, corrected some typos, to be published in J. Phys. Soc. Jap

We make a semiclassical analysis of thermal pair creations of quasiparticles at various filling factors in quantum Hall systems. It is argued that the gap energy is reduced considerably by the Coulomb potential made by impurities. It is also shown that a tunneling process becomes important at low temperature and at strong magnetic field. We fit typical experimental data excellently based on our semiclassical results of the gap energy., Comment: 6 pages, 6 PS figures, to be published in Phys.Rev.B

Decays of $\Lambda$ in nuclei, nonmesonic mode, are studied by using the $\Lambda N \to NN$ weak transition potential derived from the meson exchange mechanism and the direct quark mechanism. The decay rates are calculated both for the $\Lambda$ in symmetric nuclear matter and light hypernuclei. We consider the exchange of six mesons ($\pi, K, \eta, \rho, \omega, K^\ast$). The form factor in the meson exchange mechanism and short range correlation are carefully studied., Comment: 22 pages, 14 figures

An improved composite-boson theory of quantum Hall ferromagnets is proposed. It is tightly related with the microscopic wave-function theory. The characteristic feature is that the field operator describes solely the physical degrees of freedom representing the deviation from the ground state. It presents a powerful tool to analyze excited states within the \LLLd. Excitations include a Goldstone mode and nonlocal topological solitons. Solitons are vortices and Skyrmions carrying the U(1) and SU(2) topological charges, respectively. Their classical configurations are derived from their microscopic wave functions. The activation energy of one Skyrmion is estimated, which explains experimental data remarkably well., Comment: 22 pages including 2 figures

The short range parts of the strong and weak hyperon-nucleon interactions are studied with quark substructure of the baryons taken into account. A summary of the quark cluster model calculations of the baryon-baryon interactions is presented. It is pointed out that the spin-flavor symmetry structure determines the qualitative behaviors of the short-range YN interactions. We also show that the spin-orbit YN forces give characteristic behaviors, which are distinct from the meson exchange forces. Weak decays of $\Lambda$ in hypernuclei are described by the direct quark mechanism. We find that the neutron induced nonmesonic decay is enhanced due to the direct quark transition. Importance of the $\Delta I=3/2$ decay amplitudes is emphasized both for the nonmesonic weak decays and the $\pi^+$ emission in the $\Lambda$ decay., Comment: 14 pages, talk given by M. Oka at the Mesons and Light Nuclei, Prague-Pruhonice, August 31 - September 4, 1998

In May 1994 the BL Lac object PKS 2155-304 was observed continuously for ~10 d with IUE and EUVE and for 2 d with ASCA, as well as with ROSAT and with ground- based radio, IR, and optical telescopes. The light curves show a well-defined X-ray flare (x2 increase in 1/2 d, with similar decay) followed by a broader, lower amplitude EUV flare ~1 day later, and a broad, low-amplitude UV flare ~2 d later (amplitude ~35%, duration >2 d). In the preceding week there was at least one X-ray flare of comparable amplitude or perhaps ongoing stochastic X-ray variations. An extremely rapid change in UV flux was seen at the beginning of the IUE observation. Assuming the central X-ray, EUV, and UV events are associated, the lags, the decrease of amplitude with wavelength, and the broadening of the temporal profile with wavelength are all qualitatively as expected for synchrotron emission from an inhomogeneous relativistic jet. We can rule out a Fermi-type shock acceleration event or a pair cascade in a homogeneous synchrotron-emitting region. A homogeneous region is still possible if there was an instantaneous (t<

The $S$-matrix pinch technique is used to derive an effective gluon self-energy to one-loop order, when the theory is quantized in the Coulomb gauge (CG) and in the temporal axial gauge (TAG). When the pinch contributions are added, the gluon self-energies calculated in CG and TAG turn out to be identical and coincide with the result previously obtained with covariant gauges. The issue of gauge independence of several quantities in hot QCD is discussed from the pinch technique point of view. It is also pointed out that the spurious singularities which appear in TAG calculations cancel out once the pinch contributions are combined., Comment: 35 pages (including 5 figures), LaTeX

We examine the muonium ($\mu ^+e^-$)-antimuonium ($\mu ^-e^+$) system in the models which accomodate the dilepton gauge bosons, and study their contributions to the ground state hyperfine splitting in ``muonium''. We also consider the exotic muon decay $\mu ^+\to e^+ +\overline \nu _e +\nu _{\mu}$ mediated by the dilepton gauge boson, and obtain a lower bound $(M_{X^{\pm }}/g_{3l})>550 \rm GeV$ at 90\% confidence level for the singly-charged dilepton mass using the unitarity relation of the Kobayashi-Maskawa matrix for the 3-family case., Comment: 8 pages, harvmac (extra preprint # and reference added)