Showing papers on "Mass formula published in 1993"

Mass formulas for stationary Einstein-Yang-Mills black holes and a simple proof of two staticity theorems.

Abstract: We derive two new integral mass formulas for stationary black holes in Einstein-Yang-Mills theory. From these we derive a formula for scrJ\ensuremath{\Omega}-QV, from which it follows immediately that any stationary, nonrotating, uncharged black hole is static and has a vanishing electric field on the static slices. In the Einstein-Maxwell case, we have, in addition, the ``generalized Smarr mass formula,'' for which we provide a new, simple derivation. When combined with the other two formulas, we obtain a simple proof that nonrotating Einstein-Maxwell black holes must be static and have a vanishing magnetic field on the static slices. Our mass formulas also can be generalized to cases with other types of matter fields, and we describe the nature of these generalizations.

Mass formula for strange and nonstrange quark matter.

Abstract: A mass formula for spherical lumps of two- and three-flavor quark matter is derived self-consistently from an asymptotic expansion within the MIT bag model, taking into account bulk, surface, curvature, and Coulomb contributions For massless quarks the asymptotic expansion fits exceedingly well with exact mode-filling calculations A bulk approximation to the mass formula is also discussed The curvature energy is extremely important, adding up to 400[ital A][sup [minus]2/3] MeV to the energy per baryon for baryon number [ital A]

Should the Renewed Tau Mass Value 1777 MeV BE Taken Seriously

Abstract: It is pointed out that the renewed value of tau mass, mr=1777 MeV, is in excellent agreement with the prediction mr=1776.97 MeV from a charged lepton mass formula based on an SU(3)-family nonet scheme. As an extension of the scenario, neutrino mixing angles, and so on, are speculated.

Conjectured mass formula for drops of strange matter and constraints from recent experiments

Abstract: Fixed-target experiments with relativistic heavy-ion collisions at BNL and CERN search for small metastable drops of strange matter, [ital S] drops. A useful conjectured mass formula for [ital S] drops is presented here. This mass formula can easily be fitted to the experimental results. The results of an experiment at BNL are used to constrain the parameters.

Vacuum fine tuning and empirical estimates of the masses of the top quark and the Higgs boson

Abstract: The fine-tuning principles are analyzed in search for predictions of top-quark and Higgs-boson masses. The modification of Veltman condition based on the compensation between fermion and boson vacuum energies within the Standard Model multiplets is proposed. It is supplied with the stability under rescaling and with the requirement of minimum for the physical v. e. v. for the Higgs field (zero anomalous dimension). Their joint solution for top-quark and Higgs-boson couplings exists for the cutoff $\\Lambda \\approx 2.3 \\cdot 10^{13}\\,GeV$ that yields the low-energy values $m_t = 151 \\pm 4\\,GeV; m_H = 195 \\pm 7\\,GeV$.

Non-Abelian Cornucopions

Abstract: An infinite family of cornucopions is found within the $SU(2)\times U(1)$ sector of the 4--d heterotic string low-energy theory, the extremal $U(1)$ magnetic dilatonic black hole being the lowest energy state. Non-abelian cornucopions are interpreted as sphalerons associated with potential barriers separating topologically distinct Yang-Mills vacua on the $U(1)$ cornucopion background. A mass formula for non-abelian dilatonic black holes is derived, and the free energy is calculated through the Euclidean action.

Soliton solutions of relativistic Hartree equations

Abstract: Studies a model based on N scalar complex fields coupled to a scalar real field, where all fields are treated classically as c-numbers. The model describes a composite particle made up of n constituents with bare mass m0 interacting both with each other and with themselves via the exchange of a particle of mass mu 0. The stationary states of the composite particle are described by relativistic Hartree equations. Since the self-interactions is included, the case of an elementary particle is a non-trivial special case of this model. Using an integral transform method, the author derives the exact ground-state solution and prove its local stability. The mass of the composite particle is calculated as the total energy in the rest frame. For the case of a massless exchange particle the mass formula is given in closed form. The mass, as a function of the coupling constant, possesses a well pronounced minimum for each value of mu 0/m0, while the absolute minimum occurs at mu 0=0.

Particles with one heavy quark in the mit bag model

Abstract: We propose a model based on the MIT Bag Model for particles containing one heavy quark. We eliminate the colour electric and the colour magnetic energy terms in the mass formula, by replacing them by a renormalization of the constants of the model

Soliton Solutions of Relativistic Hartree's Equations

Abstract: We study a model based on $N$ scalar complex fields coupled to a scalar real field, where all fields are treated classically as c-numbers. The model describes a composite particle made up of $N$ constituents with bare mass $m_0$ interacting both with each other and with themselves via the exchange of a particle of mass $\mu_0$. The stationary states of the composite particle are described by relativistic Hartree's equations. Since the self-interaction is included, the case of an elementary particle is a nontrivial special case of this model. Using an integral transform method we derive the exact ground state solution and prove its local stability. The mass of the composite particle is calculated as the total energy in the rest frame. For the case of a massless exchange particle the mass formula is given in closed form. The mass, as a function of the coupling constant, possesses a well pronounced minimum for each value of $\mu_0/m_0$, while the absolute minimum occurs at $\mu_0=0$.