Mass formula

About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.

Brief note on Ashtekar-Magnon-Das conserved quantities in quadratic curvature theories

Abstract: In this note, we correct a mistake in the mass formula in [N. Okuyama and J. i. Koga, Phys. Rev. D 71, 084009 (2005).] which generalizes the Ashtekar-Magnon-Das method to incorporate extended gravities with quadratic curvature terms. The corrected mass formula confirms that the black hole masses for recently discovered critical gravities vanish.

Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum

Abstract: Koide's mass formula is an empirical relation among the charged lepton masses which holds with a striking precision. We present a model of charged lepton sector within an effective field theory with U(3) × SU(2) family gauge symmetry, which predicts Koide's formula within the present experimental accuracy. Radiative corrections as well as other corrections to Koide's mass formula have been taken into account. We adopt a known mechanism, through which the charged lepton spectrum is determined by the vacuum expectation value of a 9-component scalar field Φ. On the basis of this mechanism, we implement the following mechanisms into our model: (1) The radiative correction induced by family gauge interaction cancels the QED radiative correction to Koide's mass formula, assuming a scenario in which the U(3) family gauge symmetry and SU(2)L weak gauge symmetry are unified at 102–103 TeV scale; (2) A simple potential of Φ invariant under U(3) × SU(2) leads to a realistic charged lepton spectrum, consistent with the experimental values, assuming that Koide's formula is protected; (3) Koide's formula is stabilized by embedding U(3) × SU(2) symmetry in a larger symmetry group. Formally fine tuning of parameters in the model is circumvented (apart from two exceptions) by appropriately connecting the charged lepton spectrum to the boundary (initial) conditions of the model at the cut-off scale. We also disucss some phenomenological implications.

Anomalous Effective Lagrangian and θ Dependence in QCD at Finite N c

Abstract: We generalize the large ${N}_{c}$ Di Vecchia--Veneziano-Witten (VVW) effective chiral Lagrangian to the case of finite ${N}_{c}$ by constructing the anomalous effective Lagrangian for QCD. The latter is similar to its supersymmetric counterpart and has a holomorphic structure. The VVW construction is then recovered, along with ${1/N}_{c}$ corrections, after integrating out the heavy ``glueball'' fields. A new mass formula for the ${\ensuremath{\eta}}^{\ensuremath{'}}$ meson in terms of QCD condensates is obtained. The picture of $\ensuremath{\theta}$ dependence in QCD for finite ${N}_{c}$ is more complicated than that predicted by the large ${N}_{c}$ approach.

Empirical formulas for 14 MeV (n,p) cross sections

Abstract: Levkovskii's and Gardner's empirical formulas for 14 MeV neutron (n,p) cross sections can be shown to be mainly equivalent to the following approximation: subject to modifications from direct interaction. Here T is the nuclear temperature, given by 10/A1/2 and Vp′ is Dostrovsky's value of the effective Coulomb barrier. Qnp′ is the effective Q value calculated using the mass formula in which B and Z0/A are shell-independent parameters.