Showing papers on "Mass formula published in 1982"
TL;DR: In this paper, the authors extended the technique of Cremmer et al. to couple arbitrary chiral multiplets with supersymmetric Yang-Mills interactions to N = 1 supergravity and derived, in the absence of gauge interactions, a model-independent mass formula Supertrace M 2 = Σ J (−) 2J (2J + 1)m J 2 = 2(N − 1)/m 3 2 2, where m 3 2 is the gravitino mass.
302 citations
TL;DR: The integral lattices of determinant 1 and dimension not exceeding 20 are enumerated in this paper and Siegel's mass formula is used to verify Niemeier's list of even lattices.
59 citations
TL;DR: In this article, the authors investigated the contribution of the highest SU(4) Casimir operators in the modified mass formula for the A ≧ 216 region based on a hypothesis of the restoration of Wigner symmetry with increasing N − Z and on experimental mass-difference data.
18 citations
TL;DR: In this article, the validity of the leptodermous expansion of the binding energy of nuclear systems is studied and a mass formula with exponential terms which are necessary for the description of light systems is introduced.
17 citations
TL;DR: In this article, an accurate mass formula at finite temperature was used to obtain a more precise estimation of temperature effects on fission barriers calculated within the liquid drop model, which was then used to estimate the effect of temperature on the fission barrier.
Abstract: An accurate mass formula at finite temperature has been used to obtain a more precise estimation of temperature effects on fission barriers calculated within the liquid drop model.
12 citations
TL;DR: In this article, the Bethe-Salpeter treatment of qq-bar for equal-mass quarks in the instantaneous approximation is extended to unequal masses, and an explicit mass formula is obtained in the dimensionless form F(M) = N+const, where a nonlinear function of M represents a central supermultiplet (mass)/sup 2/ for each N excitation, formally corrected for spin and flavor variations among members.
Abstract: A Bethe-Salpeter (BS) treatment of qq-bar proposed recently for equal-mass quarks in the instantaneous approximation is extended to unequal masses. An explicit mass formula is obtained in the dimensionless form F(M) = N+const, where F(M), a nonlinear function of M, represents a central supermultiplet (mass)/sup 2/ for each N excitation, formally corrected for spin and flavor variations among members. These universality features of F(M) are borne out by the data to a significant extent up to the charmed sector, in terms of a single reduced spring constant omega-tilde ( = 0.15 GeV) and the quark masses (m/sub q/). A fully covariant and transparent construction is found for the Bethe-Salpeter wave functions for P, V, and A/sub 1/ mesons consistent with their equations of motion and satisfying the BS normalization without the need for a conventional decomposition into ( +- +- ) components. Tests of these wave functions are offered through the predictions of (a) P,V..-->..ll-bar and tau..-->..(..pi..,rho,A/sub 1/)..nu../sub tau/ decays, (b) electromagnetic radii of P mesons, and (c) weak form factor in K/sub l/3 decay, all in excellent agreement with experiment, without extra parameters.
9 citations
TL;DR: In this article, the mass levels of ground and excited qq q q (baryonium) states are investigated within a Bethe-Salpeter framework for a four-body system with pairwise q− q q − q interactions of the h.o. type.
5 citations
TL;DR: From the reaction 16,18O(t,p)18,20O at Et=2989.12 keV, the ground-state mass excess of 20O has been estimated to be 3795.60+or-1.94 keV.
Abstract: From the reaction 16,18O(t,p)18,20O at Et=2989.80+or-2.12 keV, the ground-state mass excess of 20O has been estimated to be 3795.60+or-1.94 keV. The validity of the IMME is tested in the A=20 quintet.
4 citations
01 Jan 1982
TL;DR: In this article, all the low-energy successes of the standard electroweak gauge model are shown to follow in a more phenomenological model based on global SU(2) broken by γ-W° mixing.
Abstract: All the low-energy successes of the standard electroweak gauge model are shown to follow in a more phenomenological model based on global SU(2) broken by γ-W° mixing. Weinberg’s mass predictions need not be valid. Connections with recent composite models of W and Z are also discussed.
2 citations
TL;DR: In this article, a universal mass expression for non-charm hadrons is derived via the generators of the 14-parameter ISU(3) group, which unites GMO formulae for various multiplets.
Abstract: A universal mass expression is derived for non-charm hadrons which unites GMO formulae for various multiplets. Mass splitting is achieved via the generators of the 14-parameter ISU(3) group. The spectrum depends on three parameters which vary with the spin. Comparison with particle data shows a nearly linear dependence.
2 citations
01 Aug 1982
TL;DR: Born's reciprocity theory can be combined with a recently proposed framework for quantum spacetime by requiring that the free test particle propagators obey the Born-Lande equation in addition to the Klein-Gordon equation as discussed by the authors.
Abstract: Born's reciprocity theory can be combined with a recently proposed framework for quantum spacetime by requiring that the free test particle propagators obey the Born-Lande equation in addition to the Klein-Gordon equation. If, furthermore, the coordinate transition amplitudes in between various standards are required to be eigenfunctions of Born's metric operator, then a mass formula results which predicts linear dependence on spin of the squared rest mass of elementary particles. This procedure also leads to a guage and reciprocally invariant formulation of the relativistic canonical commutation relations.
01 Jan 1982
TL;DR: In this paper, a model which starts from a TDHF equation and leads to classical equations of motion for a set of four collective variables is presented, which describes nuclear deformations and energies and is used to construct a potential energy surface.
01 Apr 1982
TL;DR: In this article, a fundamental assumption on internal states of particles is proposed, which leads to a series of interesting results, one of which is that it yields the origin of masses of elementary particles.
Abstract: We propose a fundamental assumption on internal states of particles. It follows from the fundamental assumption that: (1) the constituents of particles become non-particle objects; and (2) there appear naturally non-potential interactions. This non-potential interaction leads to a series of interesting results, one of which is that it yields the origin of masses of elementary particles. All mass values are given by the theory without pre-assumed mass values of the constituents (except the rest mass of the electron; mass is a physical quantity which appears only in particles but not in their constituents). The theoretically calculated mass values are in excellent agreement with the experimental values. In all calculations, only one constant b = 0.99935867 is introduced (bc being the speed of internal motion).
TL;DR: In this article, simple considerations regarding the Hamiltonian and the ground state wavefunctions of Λ-hypernuclei are used to derive several mass formulae, and the parameters that occur in the massformulae are determined by fitting the experimental binding energies.
Abstract: Simple considerations regarding the Hamiltonian and the ground state wavefunctions of Λ-hypernuclei are used to derive several mass formulae. The parameters that occur in the mass formulae are determined by fitting the experimental binding energies. Information regarding the various interactions in hypernuclal is deduced from the values of these parameters. The ‘best’ mass formula is further used to predict energies of other light hypernuclei. Relationship between binding energies are also suggested and checked with observed data.
TL;DR: In this paper, the binding and internal energies of heavy nuclides with density dependence were derived with an assumption of the β-equilibrium condition, where free nucleons are assumed to be non-interacting, degenerate fermions.
Abstract: With the use of the empirical equations for the binding and internal energies of heavy nuclides with density dependence, the abundance distribution of neutron-excess nuclides which appear up to some subnuclear density along the collapsing trajectory of a stellar core is calculated with an assumption of the β-equilibrium condition. Free nucleons are simply assumed to be non-interacting, degenerate fermions. Using the abundance distribution thus derived, the quantities affecting the hydrodynamics of the core, such as the average mass number and the mass fraction of heavy nuclides, the mass fraction of free neutrons, the number of electrons per baryon, the average excitation energy per nucleus, and the entropy, the pressure and the adiabatic index of the system are then calculated. It is found that we can obtain fairly reliable values of these physical quantities by introducing only the magic and near-magic number nuclides in the calculation, and that the results are hardly affected by the difference of the semi-empirical nuclear mass formula we use to derive the binding energies of unknown nuclides and the formula of the grand partition function of these nuclides.