Showing papers on "Mass formula published in 1981"
TL;DR: In this article, a folded-Yukawa single-particle potential was used to calculate the ground-state masses of 28 nuclei ranging from 109 Cd to 252 Cf.
309 citations
CERN1
TL;DR: In this article, a power-like phenomenological potential was used to fit the J/ψ and γ levels and leptonic widths of a system containing quarks.
156 citations
TL;DR: In this article, the α s 3 correction to the two-point function of the pseudoscalar gluon currents was presented, and the obtained information was used to determine the relation between the scales of the Gluon and quark channels.
38 citations
TL;DR: In this paper, the spectrum-generating algebra Sp(12,R) of the harmonic oscillator quark model is used to label the oscillator eigenstates and give a new and direct method of constructing wave functions of definite symmetry type.
Abstract: We consider the spectrum-generating algebra Sp(12,R) of the harmonic-oscillator quark model and show how it may be used to label the oscillator eigenstates. We give a new and direct method of constructing wave functions of definite symmetry type. We show that Sp(12,R) provides the most appropriate means of classifying the symmetry breaking produced by an anharmonic perturbation and we derive an algebraic mass formula for the N = 2 multiplets of the model, and indicate how the method may be generalized to arbitrary N. Finally we extend the present successful phenomenological analysis of the baryon spectrum performed by Isgur and Karl, and discuss the possibility that the ..delta..D35(1925) resonance is evidence for a (56,1/sup -/) multiplet corresponding to excitation of new gluonic degrees of freedom within baryons.
21 citations
TL;DR: In this paper, the quality of the fit of experimental masses by a mass formula based on the two-body Casimir operator of SU(4) is tested and found to be at least as good as that of the Weizsacker mass formulae, in spite of the fact that this formula is inherently less flexible.
13 citations
9 citations
TL;DR: In this article, a derivation of the eigenvalue equation without restriction of this type is presented, which is based on a self-consistent process where matter and gravitation are engendered mutually and the mass of the particles produced is given by an eigen value equation.
8 citations
TL;DR: In this article, general helicity and spin sum rules for massless and massive supermultiplets were derived using properties of the spinor representations of the SO(2N)[SO(4N)] group of automorphisms of the N extended supersymmetry algebra at fixed light-like (time-like) momenta.
8 citations
TL;DR: In this article, the relativistic Hooke group is used to model the quantum dynamics of the de Sitter type microuniverses of the hadron model, where the dynamics are determined by the Hooke groups.
Abstract: Motivated by previous work on relativistic quantum dynamics expressed in algebraic terms, we introduce a fully relativistic generalization of the Hooke group. The mathematical properties, relation to other proposed quantum dynamical groups, and the unitary ray representations of this group are studied. Hadrons are viewed as de Sitter type microuniverses, where the quantum dynamics is then determined by the relativistic Hooke group. Wave equations are studied, a mass formula is derived, the emergence of a Regge type formula is deduced, and correspondence with other extended hadron models is noted.
6 citations
TL;DR: In this article, the measured cross sections of 14 MeV (n, p) reaction for nuclei with mass number larger than 90 are analyzed in terms of the pre-equilibrium exciton model and an effective Q-value, that is derived from a semi-empirical mass formula whose parameters are smooth functions of mass number and are free from fluctuations near closed shells.
Abstract: The measured cross sections of 14 MeV (n, p) reaction for nuclei with mass number larger than 90 are analyzed in terms of the pre-equilibrium exciton model and an effective Q-value, that is derived from a semi-empirical mass formula whose parameters are smooth functions of mass number and are free from fluctuations near closed shells. The deviations from 1.0 of the ratios of experimental to theoretical cross sections calculated using the effective Q-values are markedly reduced as compared with the use of the true Q-values. The use of the effective Q-values also gives a better agreement between the experimental and calculated cross sections in the calculations based on the geometry-dependent hybrid model.
TL;DR: In this paper, a geometrical model of elementary particles in which leptons, quarks and hadrons are treated on the same footing is presented, and an empirical mass formula for higher quark generation is proposed leading to a prediction for t-quark mass value.
Abstract: Starting from abstract quantum states of spin 1/2, the rishon states as introduced by Harari and Shupe, and projecting them onto a three-dimensional space, one describes a geometrical model of elementary particles in which leptons, quarks and hadrons are treated on the same footing. Their internal quantum numbers are thus related to the rishon content of these particles or states. A basic hypothesis on the lepton and quark generations allows a coherent graphical representation of elementary particles which gives a clear comprehension of their possible decay modes and seems to limit to four the generation number of leptons. An empirical mass formula for higher quark generation is then proposed leading to a prediction for t-quark mass value. The possible existence of exotic particles is then considered.
TL;DR: The lowest T = 2 state in 24 Al was observed through the 27 Al( 3 He, 6 He) 24 Al rection as discussed by the authors, and the mass excess (5.919± 0.010 MeV) of the state supports the quadratic form of the isobaric multiplet mass equation.
Abstract: The lowest T=2 state in 24 Al was observed through the 27 Al( 3 He, 6 He) 24 Al rection. The mass excess (5.919±0.010 MeV) of the state supports the quadratic form of the isobaric multiplet mass equation.
01 Apr 1981
TL;DR: The SU(3)-subsector approach to hadron properties was introduced by Dattoli, Prosperi, Camiz, and others as discussed by the authors, which is based on the three-quark sectors of SU(N), which are obtained by picking out three of the N quarks in all possible ways.
Abstract: I review the essential features and main applications of the SU(3)-subsector approach to hadron properties, developed in the last two years by Dattoli, Prosperi, Camiz, and myself. Such a formalism is based on the three-quark sectors of SU(N), which are obtained by picking out three of the N quarks in all possible ways. The sectors can be divided in four classes, according to the charges of the quarks constituting them, and an SU(3) algebra can be defined for any class of sectors, by introducing generalized operators (like hypercharge and isospin) induced by the SU(N) generators. General formulae are derived for baryon magnetic moments, both in the case of an exact symmetry and of a partially broken one. Mass sum rules for hadrons are discussed by means of a generalized Gell-Mann-Okubo mass formula. Lastly, it is stressed that the effectiveness of the formalism is better understood if one looks on SU(N) as a classification group for hadrons, rather than concerning hadron structure. In this connection, a till open legacy of Heisenberg about quark hypothesis is singled out.
TL;DR: In this article, a heurisitic model of the mass of a set of virtual, radiating planckeons with Planck size (L) and mass (cL) was discussed.
Abstract: We discuss a heurisitic model of gravitational vacuum as a set of virtual, radiating planckeons, particles with Planck size (L) and mass (ħ/cL). Combined with Dirac's large number hypothesis, this gives the minimum universe scale factor valuea
min∼10−13 cm, the strong interaction length (a = L just whena=a
min
). Taking this state as an initial one using standard quantum techniques, we consider particle creation by planckeons. Under some reasonable assumptions we obtain the present number of particles with nucleon mass close to observations,N ∼ 1080. A criterion for gravitational stability of particles is formulated and some applications of the corresponding mass formula are considered. In particular, Fermi's weak interaction constant is expressed in terms ofa andL and a finite value for the neutrino mass is obtained.
01 Jan 1981
TL;DR: The variational theory is well suited for calculating the nuclear mass formula for a given nucleon-nucleon potential as discussed by the authors, and independent check of the available variational calculations on light nuclei is then possible; however, accurate estimates of the symmetry-energy energy contributions are required
Abstract: The variational theory is well suited for calculating the nuclear mass formula for a given nucleon-nucleon potential An independent check of the available variational calculations on light nuclei is then possible; however, accurate estimates of the symmetry-energy energy contributions are required
TL;DR: In this paper, a mass formula for a nine-dimensional representation of the Schwinger group W(3) was derived for a Bose field and a Fermi field.
Abstract: Schwinger's group W(3) is used to classify bosons as states consisting of two fundamental Fermi fields and a single Bose field. These states cannot decay into ordinary mesons, and in this sense they may be identified with charmed particles. A mass formula is derived for a nine-dimensional representation of the Schwinger group.
01 Jan 1981
TL;DR: In this article, the present status of the variational approach to finite nuclei, based on correlated wave functions, is briefly sketched and some of the results recently obtained for ligth nuclei are discussed.
Abstract: The present status of the variational approach to finite nuclei, based on correlated wave functions is briefly sketched. A general outline of the problem, and some of the results recently obtained for ligth nuclei are discussed. The variational technique is applied to calculate the relevant coefficients of the nuclear mass formula and estimates of the ground state energies of 16O and 40Ca are also given.
TL;DR: In this paper, an empirical mass formula for the basic fermion sequences of charged quarks and leptons was tested for the first and second generation masses as inputs, which predicts the top quark mass to be around 20 GeV.
Abstract: An empirical mass formula is tested for the basic fermion sequences of charged quarks and leptons. This relation is a generalization of Barut’s mass formula for the lepton sequence (e, μ, τ......). It is found that successful mass extrapolation to the third and possibly to other higher generations (N>2) can be obtained with the first and second generation masses as inputs, which predicts the top quark massmt to be around 20 GeV. This also leads to the mass ratios between members of two different sequences (i) and (i′) corresponding to the same higher generations (N>2).