arXiv subjects
Publications and source records attributed to Muneyuki Ishida.
The pi0 pi0 mass spectra and angular distributions around KK_bar-threshold and at 1.5 GeV in pp_bar(at rest) to 3pi0 in the Crystal Barrel experiment are reanalyzed by applying the new method, which is consistent with unitarity of S-matrix and expressed directly by resonance parameters. The effects of light sigma-meson production are clearly seen to improve the fit with sigma, in comparing with the fit without sigma.
Motivated by the observation of the decay B to K* gamma by the CLEO collaboration, we have systematically analyzed the weak radiative decay Lambda_b to Lambda gamma, evaluating the confined effects of quarks in the covariant oscillator quark model. This decay process receives both short distance (electromagnetic penguins at the one loop level) the long distance contributions in the quark level. The long distance contributions are analyzed using the vector meson dominance (VMD) method. The estimated branching ratio is found to be 0.23 times 10^-5.
The level classification of quark-antiquark systems is generally made by the LS-coupling scheme, resorting to the non-relativistic quark model. However, it has been well known that the pi-meson with the (L,S)=(0,0) shows also the properties as a Nambu-Goldstone boson in the case of spontaneous breaking of a relativistic symmetry, the chiral symmetry. In this talk I present a covariant classification scheme for describing both the non-relativistic and the relativistic q q bar-mesons and point out possibility for existence of the new scalar meson nonet (to be assigned to the sigma nonet) and also of the new axial-vector meson nonet, ``chiralons,'' which should be discriminated from the conventional ^3P_0 and ^3P_1 states, respectively.
Recently, by reanalyzing the phase shift data of I=0 pipi$ and of I=1/2 Kpi scatterings, we showed the evidences for existence of light scalar mesons, sigma(600) and kappa(900), respectively, which had been sought but missing for a long time. The sigma(600) and kappa(900) together with the established resonances, a_0(980) and f_0(980), are shown to be consistently classified as the members of a single scalar sigma-nonet, appearing in the SU(3) linear sigma model. Especially the mass value of the iso-singlet flavor-octet member satisfies, together with those of kappa(900) and a_0(980), the Gell-Mann Okubo mass formula. The repulsive background phase shift delta_{BG}, which was essential to lead the sigma/kappa-existence in our phase shift analyses, is also shown to be quantitatively describable in the framework of linear sigma model. Thus, the origin of delta_{BG} is reduced to the ``compensating lambda phi^4-interaction," necessary from the viewpoint of chiral symmetry.
Recently we obtained the evidence for the existence of sigma(600) meson, which had been sought but missing for a long time, by reanalyzing the I=0 S-wave pi pi scattering phase shift. The sigma-existence was also suggested through the analyses of pi pi production processes, pp central collision pp to pp pi^0 pi^0 and J/psi to omega pi pi decay. The observed properties through these works of sigma meson satisfy the mass and width relation of SU(2) linear sigma model. The physical origin of the repulsive background phase shift delta_{BG}, which was essential to lead to the sigma-existence in our phase shift analysis, is also due to the "compensating lambda phi^4-interaction" in linear sigma model. Furthermore in this talk the experimental property of the delta_{BG} is shown to be describable quantitatively in the framework of linear sigma model including rho-meson contribution.
Exclusive weak radiative B meson decays are studied using the covariant oscillator quark model. The branching ratios for the processes B0 to K*0 gamma and B to K* gamma have been estimated. These are in reasonable agreement with the available experimental data. The calculation has been extended to the CKM-suppressed decay processes B- to rho- gamma and Bs to K*0 gamma .
Exclusive nonleptonic bottom meson decays are studied in the covariant osillator quark model using the factorization assumption. The main feature of this model is that it can simultaniously be applied to both heavy to heavy and heavy to light transitions, satisfying the constraints of the heavy quark effective theory (HQET) in the appropriate limit. The results obtained are in overall agreement with the present experimental data for various B decays.
Cabibbo allowed two-body hadronic weak decays of Lambda b baryons are analyzed in the factorization approximation. We use the covariant oscillator quark model to evaluate the heavy to heavy and heavy to light form factors. When applied in the heavy quark limit, our form factors satisfy all the constraints imposed by heavy quark symmetry. The decay rates and up-down asymmetries for Lambda b baryon decaying into Lambda c +P(V) are calculated. It is found that the up-down asymmetry is negative in all these decay modes. Furthermore, the prediction Br(Lambda b to Lambda+J/psi)=2.49 times 10^-4 is consistent with the recent experimental data. Finally it is pointed out that the CKM-Wolfenstein parameter rho^2+eta^2, where eta is the CP phase, can be determined from the ratio of the widths Lambda b to Lambda bar D^0 and Lambda b to Lambda J/psi, independent of the QCD parameter. The value of (rho^2 +eta^2)^1/2 calculated in our model agrees very well with the value recently predicted by Rosner.
We recently observed the iso-singlet scalar sigma(600)-particle and the iso-doublet scalar kappa(900)-particle, through the re-analyses of pi pi- and K pi-scattering phase shifts, respectively. First, assuming the two iso-singlet states, the sigma(600) and the established f0(980), being the ideal mixing states n n and s s, respectively, of a single scalar nonet, it is pointed out that the mass value of the iso-singlet flavor-octet state, obtained from the orthogonal transformation, satisfies, together with the kappa(900) and the iso-triplet scalar a0(980)-particle, the Gell-Mann Okubo mass-formula. Furthermore, it is argued that, by investigating their properties of masses and widths, this scalar sigma-nonet, together with the pseudo-scalar pi-nonet, realizes the linear representation of SU(3) chiral symmetry.
In a series of previous papers the present authors and collaborators have shown strong evidence for existence of the long-sought sigma-particle by analyzing the pi pi-scattering and pi pi-production processes, applying, respectively, the IA method and the VMW method. In this paper we examine the relation between the scattering amplitude T and the production amplitude F from the viewpoint of the unitarity and the final state interaction (FSI) theorem by using a simple field theoretical model. As a result it is shown that the amplitudes in the physical state representation are directly represented through the Breit-Wigner amplitudes of the relevant resonances, and the respective forms of T and F coincide with those in the IA and VMW methods, justifying our methods of analyses.
A recent criticism raised by M.R.Pennington on our pipi-production amplitudes seems to be due to his misunderstanding on our description, and is not right. Essential point of the relation between our scattering and production amplitudes is, in connection to the unitarity and the final state interaction theorem, briefly explained.
The σ(600) and κ(900), observed in the phase shift analyses, satisfy rather well the mass and width relation predicted by the SU(3)LsM and the SU(3)LsM with the vector and axial-vector meson nonets, and deserve to be the members of scalar σ-nonet, together with the observed resonances a_0(980) and f_0(980), as a chiral partner of pseudoscalar π-nonet. In the phase shift analyses an introduction of repulsive background phase δ_{BG} is essential, whose origin has a close connection to the λϕ^4 interaction in LsM. It is argued that the members of this σ-nonet, "Chiralons", have different properties and should be discriminated from the conventional ^3P_0-qqbar-scalar nonet.
Re-analyzing the old phase shift data of I=0, ππ(I=1/2, Kπ) scattering, we show an evidence for existence of the σ-particle (κ-particle) with a comparatively light mass, which has been missing for a long time: In the analysis we have applied a new method of interfering Breit-Wigner amplitudes, which makes the scattering amplitude parametrized in terms of only physical quantities, mass and width of resonant particles, in conformity with unitarity. We have introduced phenomenologically a background phase shift δ_{BG} of repulsive core type. The χ^2-fits of the both ππ- and Kπ- phase shifts are improved greatly with the δ_{BG} over the conventional fits without it.
A S-wave ππresonance below 1 GeV/c^2, sigma has been observed in analyses of the phase shift data of ππscatterings. It is important to observe it in production processes. A huge events of π^0π^0 below 1 GeV/c^2 is seen in the central production of the GAMS experiment. Its mass spectrum is well described by the variant mass and width method (VMW) including f_0(980), f_2(1270) and a S-wave resonance which might be assigned to be a sigma. We report here that the angular distributions of the π^0π^0 system are also described with the S-wave resonance interfering with f_0(980) and the tail of f_2(1270) by VMW. The same method is applied to the π^+π^- data of J/ψ\to ωππdecay, and is shown that not only π^+π^- mass spectrum but also its cosθ_πdistributions are described well.
The relation between scattering and production amplitudes are investigated, using a simple field theoretical model, from the general viewpoint of unitarity and the applicability of final state interaction(FSI-) theorem. The IA-method and VMW-method, which are applied to our phenomenological analyses suggesting the σ-existence, are obtained as the physical state representations of scattering and production amplitudes, respectively. Moreover, the VMW-method is shown to be an effective method to obtain the resonance properties from general production processes, while the conventional analyses based on the ``universality'' of ππ-scattering amplitude are powerless for this purpose.
In a previous work, we have reanalyzed the I=0 S-wave ππ-scattering phase-shift through a new method of Interfering Breit-Wigner amplitudes, and have shown the existence of a light scalar, σparticle, accompanied by a negative "repulsive core"-type background phase-shift, whose origin may have some correspondence to a ``compensating'' ππcontact interaction. In this work we make further analysis on the phase shift under KKbar threshold from the same standpoint, to determine precise values of σmass and width, so far as present experimental data are concerned.
Recently we have shown an evidence for existence of σ-particle in the previous works; where the ππS-wave phase shift is reanalyzed, by introducing a repulsive background suggested by the chiral symmetry, and by applying a new method of Interfering Breit-Wigner Amplitudes. In this work we also show, reanalyzing the KπS-wave phase shift from a similar standpoint, an evidence for existence of κ(900), possibly to be a member of σ-nonet.
The spectra and form factors of exclusive semi-leptonic decays of B-meson are analyzed, taking account of confined effects of quarks by the Covariant Oscillator Quark Model. The predicted B --> (D*,D)l nubar_l spectra with the conventional value of V_cb are fit well to the high-precision experiment. It is also shown the values of V_cb and V_ub obtained through decay widths for the B --> (D,D*,rho)l nubar_l processes are consistent with the presently accepted ones.