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Showing papers on "Mass formula published in 1990"


Journal ArticleDOI
TL;DR: It turns out that the formulas obtained from field theory have essentially the same structure and number of parameters as those in theNRQM, which explains the good fit that the NRQM provides in this case.
Abstract: We apply the method developed in previous papers [Phys. Rev. D 40, 2997 (1989); 40, 3111 (1989)] to write a general parametrization of the masses of the lowest meson nonets. We compare the mass formulas obtained in this way with those used currently in a nonrelativistic quark model (NRQM). As in the previous work, the aim is to separate the features specific to the NRQM from those that follow from a relativistic field theory satisfying a few rather general conditions (satisfied by QCD). For the meson masses it turns out that the formulas obtained from field theory have essentially the same structure and number of parameters as those in the NRQM. This explains the good fit that the NRQM provides in this case; the internal v/c of the qq\ifmmode\bar\else\textasciimacron\fi{} pair is irrelevant. As a by- product, the mixing angle for the I=0 mesons (e.g., \ensuremath{\eta} and \ensuremath{\eta}') predicted from the masses turns out to be model independent to first order in flavor breaking. We discuss the question of the linear versus quadratic or, say, square-root mixing angles.

18 citations


Journal ArticleDOI
D. Kapetanakis, George Zoupanos1
TL;DR: In this paper, the fermion masses in gauge theories obtained from ten dimensions through dimensional reduction on coset spaces were considered and the general Fermion mass matrix was calculated.

15 citations


Journal ArticleDOI
TL;DR: In this paper, the saddle point expansion of the lattice Gross-Neveu model with staggered fermions is performed and the exact solution in the limit of an infinite number of components (flavours) is used to discuss finite-size effects and the approach to scaling.

14 citations


Journal ArticleDOI
TL;DR: The role of spectrum generating algebras (SGA) and dynamic symmetries (DS) in hadronic structure is briefly reviewed in this paper, where the role of SGA and DS is discussed.

6 citations


Journal ArticleDOI
TL;DR: In this paper, the energy gap of the basic fermion and the bosonic collective modes was shown to be a function of the SU(3) substructure in the U (15 30 ) graded Lie group.

3 citations


Journal ArticleDOI
01 Aug 1990
TL;DR: In this paper, the authors review the bounds on the mass of a new neutral gauge boson, M Z', and relate these bounds to the allowed values for m H and m t.
Abstract: Present experimental precision allows for testing the standard model at the level of radiative corrections. Still the two main unknown parameters m H and m t are poorly bounded, as if is often the case for new physics. Here we review the bounds on the mass of a new neutral gauge boson, M Z' , and relate these bounds to the allowed values for m H and m t .

2 citations



Journal ArticleDOI
TL;DR: In this paper, a mass formula of the q-deformed modified harmonic oscillator type in the quantum universal enveloping algebra is proposed for the meson and baryon families, by taking into account the known theories as a guide.
Abstract: A mass formula of the q·deformed modified harmonic oscillator type in the sl(2) quantum universal enveloping algebra is proposed for the meson and baryon families, by taking into account the known theories as a guide. Specifying the vibronic quantum number, the deformation parameter and associated ones of the theory are determined from available data for the scalar, pseudoscalar, vector meson and baryon families. The parameters determined from totally ten families not only predict many unobserved states, but also give restrictions on the observable number of- states. The method may admit taking into account no.n·perturbative effects. mation, specified by a parameter q, into the th~ory of angular momentum. 2 ),3) The original idea of these works has been started by Faddeev 4 ) and his schoolS) from the examination of an exact solvability of classical and quantum two-dimensional models in statistical mechanics. The present author6) has pointed out that the quadratic Casimir operator and its eigenvalue discovered by Witten have many applications in the angular momentum associated problems. The purpose of this paper is to analyze the vibronic spectra of hadrons by making use of the q-deformed harmonic oscillator and its modified form. In order to con­ struct the mass formula we have taken (i) the MIT bag modeF) and a scalar ),.¢4 theory8) in two space-time dimensions as a guide, and (ii) the q-deformed version of one-dimensional oscillator and its modified form. In the former the zero-point energy is omitted by taking a normal ordering. The application of the one-dimensional quantum oscillator in a universal enveloping (UE) algebra is quite common in the analysis of the molecular spectra 9 ) under the light of the Born-Oppenheimer approxi­ mation. In order to determine the terminating quantum number for oscillation we use the analogous idea which is operative in the estimate of the dissociation energies for molecules. lO ) We consider that the total spins of baryon (meson) families belong­ ing to the oscillatory states consist of intrinsic spins of quarks (quark and antiquark), viz., with no orbital excitation. There are totally ten families suitable to analyze with spin 0, 1/2 and 1 states, for the time being, if we include all members listed in the full listings of Tables of Particle Properties.ll) The observed decay modes of ha­ drons classified as members of one and the same family are quite similar in nature except for the difference arising from the threshold effect due to mass difference. This is counted as another indication of the usefulness of our assignment on the

Journal ArticleDOI
TL;DR: An extension of Barut's (1979) lepton mass formula to quark masses, using lepton-quark symmetry is applied to obtain the masses of the third and fourth generation quarks as mentioned in this paper.
Abstract: An extension of Barut's (1979) lepton mass formula to quark masses, using lepton-quark symmetry is applied to obtain the masses of the third and fourth generation quarks. The t-quark mass is found to be quite a bit smaller than present estimates.

Journal ArticleDOI
TL;DR: In this paper, the Coulomb energies of nuclei are calculated on the basis of data from electromagnetic experiments, and it is shown that a consistent description of the binding energies and the nuclear dimensions is possible on introducing the dependence of the mass number in the density parameters of the charge distribution.
Abstract: The Coulomb energies of nuclei are calculated on the basis of data from electromagnetic experiments. It is established that the substitution of the Coulomb energies calculated in this way into the formula for the nuclear masses results in loss in quality. On the other hand, the Coulomb energies obtained from the mass formula do not reproduce the nuclear dimensions sufficiently well. It is shown that a consistent description of the binding energies and the nuclear dimensions is possible on introducing the dependence of the mass number in the density parameters of the charge distribution.