Showing papers on "Mass formula published in 1976"
TL;DR: In this paper, the Skyrme forces SII, SIII and SV were modified to allow for a density dependence also between like nucleons and a many-body theoretical justification for this modification is given in the paper.
236 citations
TL;DR: In this paper, the authors presented 5563 nuclear mass excesses of nuclei beyond the 1 p shell, calculated from the semi-empirical shell-model mass equation of Liran and Zeldes.
168 citations
TL;DR: In this article, the authors presented the motivation behind the development of the droplet model and the mass formula that results, and the 16 coefficients appearing in this new formula were given, most of which were taken from the literature or estimated on the basis of simple physical arguments.
161 citations
TL;DR: In this article, a semi-empirical atomic mass formula is presented, which is derived by bunching the average single-particle spectrum of nuclei with correct size according to the magic numbers.
109 citations
TL;DR: In this article, the transverse Garvey-Kelson mass relation was used to estimate masses of proton-rich nuclei with T ≥ 1 based on the charge-symmetric mass relation of Kelson and Garvey.
75 citations
TL;DR: In this paper, the first quantum-mechanical correction to the mass of a static soliton in a weakly-coupled two-dimensional scalar field theory is presented.
67 citations
TL;DR: In this paper, a liquid-drop model has been used to obtain mass predictions from the solutions of inhomogeneous partial difference equations, which are derived from the variation with nucleon number and neu.tron excess of the effective neutronproton interaction.
23 citations
TL;DR: Baryon chiral symmetry quark model parameters are linked together in a consistent manner leading to mp ∽ mn ∽ 140 MeV, mλ ∽ 670 MeV and c = ϵ8/ϵ0 ∽ −0.8.
21 citations
TL;DR: In this article, the authors explore the possibility that high energy physics is an infrared phenomenon, with strong interactions determined by an infrared stable fixed point of the renormalisation group, and show that the Gell-Mann Okubo mass formula is first order in ϵ in 6−ϵ dimensions.
19 citations
TL;DR: In this paper, generalized vector meson dominance is used as a method for inserting mass effects into the simple quark parton model, and the implementation of quark model symmetries implies relations among the towers of vector resonances, which specify the magnitude and approach to scaling of different qq sea components in deep inelastic electron and neutrino scattering.
18 citations
TL;DR: In this article, the Meson mass formula of Borchardt-Mathur-Okubo type is generalized to broken SU N in a form suitable for computer calculation, and the result is applied to SU 5 and SU 6 cases, by assuming two possible assignments: (1) 3.95 or upsilon 5.97 GeV is the new lowest state of J PC = 1 −− member of SU 5 symmetry, and (2)
TL;DR: In this article, the meson radiative decays were calculated under SU(3) covariance for a vector field inspired from local duality for the current propagator, and a new vector meson mass formula was also obtained leading to exactly ideal mixing.
TL;DR: In this paper, a general SU(3) analysis of vector meson and pseudoscalar meson radiative decays is carried out, and two solutions are obtained, corresponding either to an inverse-square mass formula or to a linear mass formula for vector mesons that lead to reasonable agreement with most of the radiative decay.
Abstract: A general SU(3) analysis of vector meson and pseudoscalar meson radiative decays is carried out. Two solutions are obtained, corresponding either to an inverse-square mass formula or to a linear mass formula for vector mesons that lead to reasonable agreement with most of the radiative decays. (AIP)
TL;DR: A mass equation due to Jelley et al. is used to predict the mass excesses of 42 isotopes near iron and the results are compared with other predictions and with experiments where possible as discussed by the authors.
Abstract: A mass equation due to Jelley et al. is used to predict the mass excesses of 42 isotopes near iron and the results are compared with other predictions and with experiments where possible. (AIP)
TL;DR: In this paper, the mass and charge distributions in the fission of 232 Th by protons of 15·6 MeV have been measured using Ge(Li) spectroscopy, and the cumulative yields of 15 nuclides were used to calculate a total fission cross-section of 315 m.b.
TL;DR: In this paper, a phenomenological shell-model description of nuclei is used to construct a mass formula with the structure of the liquid-drop mass formula but with coefficients which depend on shell filling and deformation and which are not independent.
TL;DR: Weinberg's spectral-function sum rules are modified to accommodate broken-symmetry effects of SU(4) as mentioned in this paper, which yields the observed vector-meson mass spectrum as well as sum rules for the e/sup -/e/sup +/ decay rates of vector mesons.
Abstract: Weinberg's spectral-function sum rules are modified to accommodate broken-symmetry effects of SU(4). With a simple choice of the symmetry-breaking term, the spectral-function sum rules yield the observed vector-meson mass spectrum as well as sum rules for the e/sup -/e/sup +/ decay rates of vector mesons. In particular, a new mass formula, which can be interpreted as the broken-symmetry version of the Schwinger formula, is derived. The agreement with experiment is excellent. (AIP)
TL;DR: In this paper, the reaction 24Mg(4He, 8He)20Mg has been used to determine the mass of 20Mg, and the resulting mass excess of 17.57±0.03 MeV is used to test the isobaric multiplet mass equation in A=20.
TL;DR: In this article, the authors consider the field-theoretic model of a scalar quark field which is subjected to a strong self-coupling in a finite domain of a three-dimensional lattice space.
Abstract: Various aspects of quark confinement are considered. First, we show in the context of potential theory that steep confinement potentials lead to mass formulas which are similar to those obtained for confining boundary constraints imposed on the free quark motion. We then consider the field-theoretic model of a scalar quark field which is subjected to a strong self-coupling in a finite domain of a three-dimensional lattice space. We show that the strong self- coupling prevents the quark field from spreading easily, but that by itself it does not suffice to confine quarks. A confinement constraint or equivalent potential is still required. We also show that the mass of a single quark grows with increasing self-coupling and becomes infinite in the continuum limit (thus necessitating the use of the lattice). (AIP)
TL;DR: In this paper, the effect of a possible isotensor γ N Δ coupling on the isobaric-multiplet mass equation was investigated and it was found that discrepancies between theory and experiment for the d -term cannot be explained by the contribution from isotensor electromagnetic currents.
TL;DR: The SU(6) -symmetric quark-model mass analysis was extended in this paper for the s-wave qq meson states of the 64 = 1 + 63 of SU(8) and of the 3q baryon states in the three-particle symmetric 120 representation.
Abstract: The suprising narrowness of the J or psi (3.1) is interpreted as indication of a pure cc state, and hence as evidence for the SU(8) ..-->.. SU(6) x SU(2)/subS//subc/ x U(1)/subY//subc/ symmetry-breaking chain (S/subc/ = charmed-quark--spin generators, Y/subc/ = hypercharm generator) instead of an approximate SU(8) ..-->.. SU(4) x SU(2)/subS/ chain (S = quark spin generators) which would imply strong mixings. Decompositions under both chains of the s-wave qq meson states of the 64 = 1 + 63 of SU(8) and of the 3q baryon states of the three-particle symmetric 120 representation are given. The most general mass-splitting operators with breaking in the Y and Y/subc/ directions for these two multiplets are derived, which commute with the Casimir operators of the SU(6) x SU(2)/subS//subc/ x U(1)/subY//subc/ chain, which contain only one- and two-body operators, and which are invariant under rotations. Two independent mass relations follow for mesons containing charmed quarks; six, for baryons containing charmed quarks. In an appendix, for reference relative to previous SU(6) -symmetric quark-model mass analyses, the reduced numerical coefficients as determined by the meson 36 of SU(6) are listed. (AIP)
TL;DR: In this paper, an attempt is made to correlate deviation from ideal-mixing mass formula, high-energy scattering behavior, and violation of the Okubo-Zweig-Iizuka rule.
Abstract: An attempt is made to correlate deviation from ideal-mixing mass formula, high-energy scattering behavior, and violation of the Okubo-Zweig-Iizuka rule. Pole or cut nature of the intermediary is discussed. Timelike and spacelike forbidden communications are compared. Off-shell effects are examined. Some problems for phenomenology are revealed.
TL;DR: In this article, the current mixing angles for the vector mesons omega, phi, and psi (3095) and the mass relations among the 16 vector meshes were determined from which the masses of the F* and D* mesons were determined.
Abstract: Spectral-function sum rules for broken SU(4) symmetry are used to obtain the current-mixing angles for the vector mesons omega, phi, and psi (3095) and the mass relations among the 16 vector mesons, from which the masses of the F* and D* mesons are determined In addition, the electron-pair partial widths of the neutral vector mesons are given (AIP)
TL;DR: The 5-quark model of ψ-particles is generalized by introduction of more new quarks (at least one) degenerated in mass and charge with respect to initial 4th and 5th quarks as discussed by the authors.
TL;DR: In this article, the axial-vector current and axial vector current-pseudoscalar field were used to study axialvector mass spectrum and mixing angles, as well as the decay constants and mixing angle of the pseudoscalar mesons.
TL;DR: In this paper, the number of nucleons with total angular momentum j = l+ 1 2 in an average nucleus exceeds that of all nucleons having angular momentum n = l− 1 2.
01 Jan 1976
TL;DR: In this article, it has been shown that the liquid drop mass formula should emerge from a suitably averaged shell model, this being the basic assumption in the mass formulae constructed by using the liquid-drop expression as a base line to which shell corrections are added, and the analytical expression in terms of the mass number A and the atomic number Z is obtained by evaluating the Hartree-Fock ground state energy with a conveniently paramererized set of pheno- menological single-particle energy levels.
Abstract: It has been previously shown 1 \hat an expression for the binding energies of nuclei with the structure of the semiempirical Bethe -Weizsacker mass formula can be derived from a shell model with residual interactions Pending quantitive agreement -which is the subject of this paper -this approach provides a microscopial foundation for the exceptionally good semi -empirical mass formula To our knowledge, this comtitutes the first verification of the commonly accepted, but otherwise unproven, statement that the liquid drop mass formula should emerge from a suitably averaged shell model, this being the basic assumption in the mass formulae constructed by using the liquid drop expression as a base line to which shell corrections are added The analytical expression in terms of the mass number A and the atomic number Z is obtained by evaluating the Hartree -Fock ground -state energy with a conveniently paramererized set of pheno menological single -particle energy levels The coefficients of the mass formula thus obtained - volume, surface, symmetry and pair ing, as well as new ones which are predicted - are given as defi nite functions of the shell model parameters The fit to the ex peri mental data is done through a search of the parameters associated with the single particle potential and the residual interactions The search is limited to the range of phenomenological values consistent with nuclear spectra calculations and optical model analysis of