Showing papers on "Mass formula published in 1988"
TL;DR: In this article, the error of a mass formula is defined in a rigorous way, which leads naturally to the use of experimental uncertainties and of the maximum-likelihood method to derive a set of equations for estimating the parameters and error of the theoretical model.
185 citations
TL;DR: In this article, a new method to exactly treat the SU(3) symmetry breaking in the SU (3) Skyrme model is proposed, and the masses of the baryons belonging to the lower multiplets are calculated by this method.
128 citations
TL;DR: The mass formula as mentioned in this paper expresses the sum of the reciprocals of the group orders of the lattices in a genus in terms of the properties of any of them and is visibly invariant under scale changes and dualizing.
Abstract: The mass formula expresses the sum of the reciprocals of the group orders of the lattices in a genus in terms of the properties of any of them. We restate the formula so as to make it easier to compute. In particular we give a simple and reliable way to evaluate the 2-adic contribution. Our version, unlike earlier ones, is visibly invariant under scale changes and dualizing. We use the formula to check the enumeration of lattices of determinant d ≼ 25 given in the first paper in this series. We also give tables of the ‘standard mass’, the L -series Σ( n / m ) m -s ( m odd), and genera of lattices of determinant d ≼ 25.
75 citations
TL;DR: In this article, an atomic mass formula consisting of a gross part, an average even-odd part, and an empirical shell part is presented, where the gross part is, apart from a small atomic term, taken to be the sum of nucleon rest masses, Coulomb energies, and a polynomial in A 1 3 and |N − Z| A.
65 citations
TL;DR: In this paper, a mass equation obtained as the solution of an inhomogeneous partial difference equation is used to predict masses of unknown neutron-rich and proton-rich nuclei.
28 citations
TL;DR: The bound state approach to strange dibaryons in the Skyrme model is extended to baryon number n > 1 in this article, where the bound states are obtained in a (variational) axially symmetric SU (2) skyrmion background field.
27 citations
TL;DR: A liquid-drop-type mass formula with deformation and shell corrections and few free parameters is presented in this paper, which is applied to nuclei having proton and neutron numbers greater than 50.
21 citations
TL;DR: Wapstra, Audi, and Hoekstra as mentioned in this paper published a collection of masses of T/sub z/0 reference masses of Wapstra et al. copyright 1988 Academic Press, Inc.
20 citations
CERN1
TL;DR: In this paper, a simple treatment of the dominant radiative corrections due to fermion-loop corrections to the propagator is given, including the possibility of a very massive top quark.
Abstract: A simple treatment of the dominant radiative corrections to theW
± andZ
0 mass formulae due to fermion-loop corrections to the propagator is given, including the possibility of a very massive top quark,m
t
>M
w
. A thorough comparison with the results of the complete (SU(2)
L
×U(1)
Y
) one-loop calculations is presented. Using α,G
μ andM
z as input, we find excellent agreement with the complete one-loop calculations (withm
HIGGS≃100GeV) for all values ofm
t
within an expected error ofΔM
W
≅(α/2πM
W
≅100MeV) inM
W
andΔs
2
≅0.002 in the weak angle,s
2
. Technically we differ from previous work in diagonalizing the γZ propagator for arbitrary values ofq
2, thus allowing for extensive use of the notion of “running” coupling constants and masses. We also give a simple and closed formula for the radiative corrections to be applied tos
2
(accurate within an expected error ofΔs
2
≅0.002), when extractings
2
≅0.002), when extractings
2
from neutrino scattering experiments. As a strategy for future precision tests of the electroweak theory, we suggest attempting to isolate and to test directly the “new physics” of boson loops and other new phenomena by comparing with and looking for deviations (larger thanΔM
W
≅(α/2π)M
w
) from the predictions of the dominant fermion-loop calculation.
13 citations
TL;DR: In this paper, the authors consider the case where the membrane motion is stabilized by a topologically non-trivial background and obtain almost massless vector bosons in the adjoint representation of a simply laced Lie group in D = 27.
9 citations
TL;DR: In this paper, a simple theory of the elementary particle mass spectrum is proposed, which originates from the Dirac idea of the free electron motion and from the transformed Klein-Gordon equation, based on an equation that includes the squared mass operator having an infinite sequence of orthogonal eigenfunctions and a discrete spectrum of eigenvalues.
Abstract: A simple theory of the elementary particle mass spectrum is proposed. It originates from the Dirac idea of the free electron motion and from the transformed Klein-Gordon equation. The theory is based on an equation that includes the squared mass operator having an infinite sequence of orthogonal eigenfunctions and a discrete spectrum of eigenvalues. A discrete mass formula is derived. It yields values of mass that are in agreement with present-day empiric data for elementary particles.
TL;DR: The component form of the Lagrangian of 20 + 20 supergravity coupled to a chiral matter field is derived in this paper and the scalar potential is shown to be different from the old-minimal Kahler-invariant form.
TL;DR: In this article, a mass formula for composite quarks and leptons is derived from a partially conserved induced supercurrent hypothesis, which leads to a sum rule for quark and lepton masses which is mer−mVer=mdr−mur for r=p/2 or p/3 where p=1 or 3.
01 Apr 1988
TL;DR: In this article, the authors reported the results of the calculation of the hadron spectrum in the quenched approximation on a 16∗∗3 × 48 lattice with a RG improved gauge action and the Wilson quark action.
Abstract: I report the results of the calculation of the hadron spectrum in the quenched approximation on a 16∗∗3 × 48 lattice with a RG improved gauge action and the Wilson quark action: i) The masses of the π and ϱ mesons are calculated up to the point m π / m ϱ ≌ 0.38 . The results show that there exists a smooth limit K→K C for the meson masses. However, the mass of N is determined only up to the point m π / m ϱ ≌0.61 ; ii) We also calculated the masses of hadrons which are composed of different kinds of quarks. If we use, when extrapolating the results to the physical ones, phenomenological mass formula which take into account the hyperfine splitting term, all the masses of low lying flavor non-singlet hadrons agree with experimental values within one-standard deviation. In particular, the mass of σ turns out to be about 100 MeV larger than that of λ, in accord with experements; iii) We find that the H-dibaryon is below the σσ threshold for strong decay. Furthermore the case where the H is slightly below the NN threshold for weak decay is consistent with our numerical results and is not conflict with the stability of nucleus.
TL;DR: In this paper, the recently discovered mass formula, derived from the Dirac-like equation in phase space, was shown to be in satisfactory quantitative agreement with experimental data for baryons lying on Regge trajectories whose leading states are the members of theSU3-octet.
Abstract: The recently discovered mass formula, derived from the Dirac-like equation in phase space, which was shown to be in satisfactory quantitative agreement with experimental data for baryons lying on Regge trajectories whose leading states are the members of theSU3-octet, is here extended to the case of Regge trajectories whose leading states belong to theSU3-decuplet. The comparison with experimental data shows very good quantitative agreement.
TL;DR: In this article, it was shown that the accuracy of the original Weizsacker-Fermi mass formula can be improved by adding one more parameter to the original five parameters.
Abstract: It is found that, by a simple assumption that was used to explain the EMC effect, the accuracy of the original Weizsacker-Fermi mass formula can be greatly improved for light and intermediate nuclei, by merely adding one more parameter to the original five parameters.
TL;DR: In this paper, an energy eigenstate equation for mesons is derived and the energy levels of strange mesons are calculated and compared with those observed, assuming that quarks behave like tachyons, the energy E in the center of mass of a system of a quark and an antiquark interacting by means of a potential V that behaves as the fourth component of a fourvector is (c=h=l)
Abstract: An energy eigenstates equation for mesons is derived and the energy levels of strange mesons are calculated and compared with those observed. For equal quark masses (m~ = m d ) the mass formula reduces to the mass formula describing nonflavored mesons with I = 1. In a previous paper (Burcev, 1987), following the approach proposed by Kang and Schnitzer (1975), the energy levels of nonflavored mesons with I = 1 have been calculated using the Klein-Gordon equation with a box potential. In the model used, quarks behave like tachyons. In this paper I calculate the energy levels of strange mesons in a similar way. Assuming that quarks behave like tachyons, the energy E in the center of mass of a system of a quark and an antiquark interacting by means of a potential V that behaves as the fourth component of a four-vector is (c=h=l)