Showing papers on "Mass formula published in 1975"
TL;DR: In this article, tensor representations of baryon multiplets are discussed together with some applications to weak decay processes, especially for degenerate representations, and mass formulas for SU(4) and SU(8) groups are obtained.
Abstract: Mass formulas for SU(4) and SU(8) groups have been obtained and are especially simple for degenerate representations. Also, tensor representations of baryon multiplets are discussed together with some applications to weak decay processes.
39 citations
21 citations
TL;DR: The Okubo-Iizuka-Zweig rule for decays of Ψ and Ψ′ suggests that the radiative decays should be dominated by intermediates like Ψ → γ + hadrons as discussed by the authors.
18 citations
TL;DR: In this article, a minimal-symmetry quark model for baryons is extended by charmed-quark substitution to charmed Baryons, with minimal SU(4) or SU(8) symmetry assumptions.
Abstract: A minimal-symmetry quark model for baryons is extended by charmed-quark substitution to charmed baryons. This induces a transformation of 9 mass relations for the 18 uncharmed baryons directly into 14 mass relations for 22 charmed baryons, with minimal SU(4) or SU(8) symmetry assumptions. Of the charmedbaryon mass relations, 6 are for mass differences of electromagnetic order and 8 are for strong mass differences.
14 citations
TL;DR: The mass excesses of 19 Na and 23 Al have been measured with the (3 He, 8 Li) reaction as mentioned in this paper, and the values obtained are 12928 ± 12 keV and 6767 ± 25 keV, respectively.
13 citations
11 citations
TL;DR: In this paper, a new empirical mass formula consisting of a gross part and proton and neutron shell parts was proposed, and the shell parameter values were determined by a new statistical method, whose essential point was to take into account the intrinsic error of the mass formula.
Abstract: An advance was made in the study of empirical mass formulas1,2 by including new experimental data and by applying a new statistical treatment. Our mass formula consists of a gross part and proton and neutron shell parts. The shell parameter values were determined by a new statistical method, whose essential point was to take into account the intrinsic error of the mass formula. Main characteristics of the formula thus obtained are presented.
7 citations
TL;DR: In this article, a mass formula for SU(4 and SU(8) quark models is compared with predicted charmed meson and baryon masses, and comments are made about the spectroscopy and significance of the decay modes.
Abstract: A mass formula for SU(4) and SU(8) is compared with predicted charmed meson and baryon masses. Comments are made about the spectroscopy of SU(4) quark models and the significance of $\ensuremath{\psi}$ and ${\ensuremath{\psi}}^{\ensuremath{'}}$ decay modes.
6 citations
TL;DR: In this paper, an even-wave harmonic oscillator (h.o.) model for the quark-quark interaction proposed recently for the baryon spectrum is described with a detailed mathematical formulation, which formally admits of a relativistic extension of the Feynman-Kislinger-Ravndal type.
Abstract: An even-wave harmonic oscillator (h.o.) model for the quark-quark interaction proposed recently for the baryon spectrum is described with a detailed mathematical formulation. The mechanism, which formally admits of a relativistic extension of the Feynman-Kislinger-Ravndal type, leaves unchanged the usual h.o. predictions for 56 states (symmetric) for all L values even and odd, but totally keeps out the 20 states (antisymmetric). It changes the structure of the 70 states considerably, while retaining the principal feature of linear rise of (mass) 2 with J through the interplay of two reduced slopes of magnitudes ½ α and ½ √ 3α , compared to a for the 56 spectrum. The new features of the 70 states are (i) a dual spectrum leading to considerable mass splitting compared to the usual h.o. model without SU(6)-breaking effects, (ii) prediction of a unique (70, 0 + ) supermultiplet lower than the (70, 1 - ), and (iii) the prediction of low radial excitations because of the reduced slopes. The immediate experimental successes are (i) an understanding of P 11 (1470) together with possible Δ, Σ, Λ counterparts, (ii) two distinct mass groupings manifest in (70, 1 - ) states, and (iii) plausible explanation of P 11 '(1750) as a radial excitation of P 11 (1470). The mass splittings of Δ, Σ, Λ from their N counterparts, compared for 56 and 70 states, conform extremely well to the ratio of the average slope δ=1/4α(1+√3)≈ 0.68 a for 70 states to that (a) for the 56, thus facilitating the prediction of Δ, Σ, Λ positions from those of N states for different quantum numbers. Extra predictions of states are discussed in terms of an extended classification scheme given by an ordered set of four quantum numbers (n x l x n y l y ) defined in the text.
3 citations
TL;DR: In this paper, a mass formula for SU4 representations is derived for the mass splittings of a general SU4 multiplet into SU3 multiplets, where Hs = H 0+H 2 and H 2 behaves under SU4 like its SU3-scalar generator.
Abstract: Some properties of SU4 representations are studied with a view to discussing mass formulae. Taking Hs=H0+H2, where H0 is SU4-scalar and H2 behaves under SU4 like its SU3-scalar generator, a mass formula is derived for the mass splittings of a general SU4 multiplet into SU3 multiplets. Simplification of this for certain important subclasses of SU4 representations is noted.
TL;DR: In this paper, an attempt was made to classify the newly discovered heavy mesons into broken SU(3)' x SU( 3)'' (color) multiplets, where mass formulas and decay properties were discussed in connection with a suggestive scheme of symmetry breaking.
Abstract: An attempt is made to classify the newly discovered heavy mesons into broken SU(3)' x SU(3)'' (color) multiplets. Mass formulas and decay properties are discussed in connection with a suggestive scheme of symmetry breaking. The model leads to numerous predictions which will soon allow it to be substantiated or rejected on the basis of experiment. One of them is the existence of a broad resonance at approx.4.8 GeV in the photon channel. From presently known experimental data or theoretical considerations no stringent objections arise; on the contrary, several facts do favor this approach. (AIP)
TL;DR: In this paper, the authors discuss possible mass spectroscopy of vector-meson states in a color scheme, namely the SU(3)' x SU( 3) '' scheme of Han and Nambu.
Abstract: We discuss possible mass spectroscopy of vector-meson states in a color scheme, namely the SU(3)' x SU(3) '' scheme of Han and Nambu. Interesting mass formulas are derived under some dynamical assumptions. These are compared with those of Sanda and Terazawa. Two possible assignments for the psi particles (including the one at approx. 4.1 GeV) are considered. (AIP)
TL;DR: In this paper, general SU(4) sum rules are obtained for bosons in the theoretical framework of asymptotic SU (4), chiral SU( 4) \ensuremath{\bigotimes} SU(5) charge algebra, and a simple mechanism of SU(2) and chiral SA(3) breaking.
Abstract: General SU(4) sum rules are obtained for bosons in the theoretical framework of asymptotic SU(4), chiral SU(4) \ensuremath{\bigotimes} SU(4) charge algebra, and a simple mechanism of SU(4) and chiral SU(4) \ensuremath{\bigotimes} SU(4) breaking. The sum rules exhibit a remarkable interplay of the masses, SU(4) mixing angles, and axial-vector matrix elements of 16-plet boson multiplets. Under a particular circumstance (i.e., in the "ideal" limit) this interplay produces selection rules which may explain the remarkable stability of the newly found narrow boson resonances. General SU(4) mass formulas and inter-SU(4)-multiplet mass relations are derived and SU(4) mixing parameters are completely determined. Ground state ${1}^{\ensuremath{-}\ensuremath{-}}$ and ${0}^{\ensuremath{-}+}$ 16-plets are especially discussed and the masses of charmed and uncharmed new members of these multiplets are predicted.
TL;DR: In this paper, the sum rules among the differential cross sections concerning r; or r;' meson derived from the simple counting rule do not agree with experiments, i.e., the singlet octet ratio S = (I r;1) /(I r ;s) is introduced as a free parameter and its value is found to be much smaller than.
Abstract: 1meson are also discussed. The composite inodel in which the baryon and the meson are composed of urbaryons as (uuu) and (uu) respectively ·has brought us systematic understand ing of the hadron spectrum and their interactions. At high energies, several sum rules among differential cross sections of various hadronic reactions have been derived 1l from counting the urbaryon rearrangement amplitudes with the Okubo-Iizuka rule2l which forbids the disconnected urbaryon diagram. The sum rules well agree with experiments. Recently it has been argued 8l' 4l that the sum rules among the differential cross sections concerning r; or r;' meson derived from the simple counting rule do not agree with experiments, i.e., the singlet octet ratio S =(I r;1) /(I r;s) is introduced as a free parameter and its value is found to be much smaller than .J2 obtained from the simple counting rule when high energy hadronic reactions and strong decays are concerned. From the standpoint of the urbayon model, a correction to the simple count ing rule is naturally interpreted as an effect of the overlapping integral between the hadrons and it is related to the mass formula of pseudoscalar mesons. In the U(6) symmetry theory, one of the pseudo scalar mesons with I= Y = 0 belongs to 1 of U(6) multiplets and the other eight pseudoscalar mesons and nine vector mesons belong to 35. It can be considered that, in the first ap proximation, the spatial wave functions of the 35 states are equal to each other and different from that of the 1 state and the U(3) invariant mass terms split into 1 and 35. The U(3) symmetry breaking terms T 8 8 well reproduce the
TL;DR: In this paper, a mass formula for the color excitation of vector mesons was presented and a colored φ meson with mass ≈ 4.1 GeV and leptonic pair decay width Γe = 3.8 KeV was predicted.
TL;DR: In this paper, it was shown that second-order SU(4)-breaking effects shift the charmed-vector-meson masses upwards from the values predicted by the quadratic Gell-Mann--Okubo formula.
Abstract: It is shown by a current-algebra technique that second-order SU(4)- breaking effects shift the charmed-vector-meson masses upwards from the values predicted by the quadratic Gell-Mann--Okubo formula. The magnitude of the shift is estimated in a simple quark model of meson coupling constants. (AIP)
TL;DR: In this article, the naive quartet quark model approach to the 4>-particle was developed and the narrow decay widths of the ct>'s were explained on the basis of the Okubo-Zweig-h;mka rule.
Abstract: The naive quartet quark model approach to the 4>-particle is developed. Narrow decay widths of the ct>'s are explained on the basis of the Okubo-Zweig-h;mka rule. SU(4) mass formula results in a scaling relation iJ~~=f(iJ~). Small iJ~. required by the narrow width of 4>(3.1) is consistent with the mass formula. The relatively large F(c/>(3.7) ~4> (3.1) +2rr) is a result of large QQ£-coupling which also explains the dominance of p+2rr decay mode of p' (1.6) decay. The breaking of the 0-Z-I rule through f is about 8% in amplitude. No sensible difference between two assignments for 4>(3.7) .(orbital and radial excitations) is found.
TL;DR: In this article, the authors make conjecture that newly discovered J or 1Jl particles are composite particles (po' po'); po' denotes a fourth fundamental baryon suggested by a Baryon: lepton symmetry model based on four leptons.
Abstract: On the basis of previous studies of new particles observed in cosmic ray jets, we make conjecture that newly discovered J or 1Jl particles are composite particles (po' po'); po' denotes a fourth fundamental baryon suggested by a baryon:lepton symmetry model based on four leptons. Further discussion is given for confirmation of the conjecture by means of analysis of mass formula and of decay phenomena. of J or 1Jl particles and some remarks are given for related problems.