Mass formula

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

Baryon spectroscopy in a three-quark model

Abstract: In this paper, we present a three-body quark model for investigating the internal structure of baryons as well as baryon spectroscopy. In order to describe the SU(6) -invariant part of the spectrum, we assumed the spin-independent part of the interaction hypercentral, and treated using the hyperspherical formalism. For SU(6) -invariant potential, we used a generalized version of the popular “Coulomb-plus-linear” potential which contains “linear-plus-logarithmic” terms as confinement part and some inverse power terms. To obtain an analytical solution, we applied some approximations for dealing with problematic linear and logarithmic terms, leading to a qualitative reproducing of the spectrum. Then, to describe the hyperfine structure of the baryon and the splittings within the SU(6) -multiplets, we used the generalized Gursey-Radicati Mass Formula as a SU(6) breaking interaction. Our calculations lead to a generally fair description of the baryon spectrum.

On a Singular Solution in Higgs Field

Abstract: A formula for mass of Standard Model Higgs boson is derived by considering certain asymptotic behavior for singular solution of equation of motion (EOM) of Higgs field via Euler-Lagrange equation, in which M H 0 is shown as a rest mass of Higgs boson mass of the field, which maintains Lorentz invariance. Where the asymptotic formula extracts a proper information near the singular solution (vacuum expectation value (vev)) from EOM. By modifying the mass formula to 'mass triangle' with H 0 production scheme of W/Z-fusion process and by obtaining mass representation at a stationary point, the value of M H 0 is determined at 120.611 GeV/c 2 , which is not excluded by latest experimentally preferred mass, and is consistent with simulation result for vector boson fusion.

Black holes with metric and fields of the same form

Abstract: We present two rotating black hole solutions with axion ξ, dilaton \({\phi}\) and two U(1) vector fields. Starting from a non-rotating metric with three arbitrary parameters, which we have found previously, and applying the “Newman–Janis complex coordinate trick” we get a rotating metric gμν with four arbitrary parameters namely the mass M, the rotation parameter a and the charges electric QE and magnetic QM. Then we find a solution of the equations of motion having this gμν as metric. Our solution is asymptotically flat and has angular momentum J = Ma, gyromagnetic ratio g = 2, two horizons, the singularities of the solution of Kerr, axion and dilaton singular only when r = a cos θ = 0 etc. By applying to our solution the S-duality transformation we get a new solution, whose axion, dilaton and vector fields have one more parameter. The metrics, the vector fields and the quantity \({\lambda=\xi+ie^{-2\phi}}\) of our solutions and the solution of: Sen for QE, Sen for QE and QM, Kerr–Newman for QE and QM, Kerr, Reference Kyriakopoulos [Class. Quantum Grav. 23:7591, 2006, Eqs. (54–57)], Shapere, Trivedi and Wilczek, Gibbons–Maeda–Garfinkle–Horowitz–Strominger, Reissner–Nordstrom, Schwarzschild are the same function of a, and two functions ρ2 = r(r + b) + a2 cos2θ and Δ = r(r + b) − 2Mr + a2 + c, of a, b and two functions for each vector field, and of a, b and d respectively, where a, b, c and d are constants. From our solutions several known solutions can be obtained for certain values of their parameters. It is shown that our two solutions satisfy the weak the dominant and the strong energy conditions outside and on the outer horizon and that all solutions with a metric of our form, whose parameters satisfy some relations satisfy also these energy conditions outside and on the outer horizon. This happens to all solutions given in the “Appendix”. Mass formulae for our solutions and for all solutions which are mentioned in the paper are given. One mass formula for each solution is of Smarr’s type and another a differential mass formula. Many solutions with metric, vector fields and λ of the same functional form, which include most physically interesting and well known solutions, are listed in an “Appendix”.

Spinor space and mass formula for hadrons

Abstract: In this note a representation of space-time as a bilinear product of spinors and a suggestion concerning the nature of space-time in the region occupied by an elementary particle are examined. These ideas were put forward by S~Rz (1), who defined the internalsymmetry algebra Ua in terms of differential operators in the spinor variables and then derived the Gell-Nfann-Okubo (2) mass formula for hadrons from the tensor properties of the mass operator of the external (de Sitter) space-time symmetry algebra. The novelty of this approach prompts us to consider its relationship to the way in which this problem has been attempted previously, i.e: by embedding the external and internal symmetry algebras in a larger higher-symmetry or noninvariance algebra Let W~ be a four-component complex spinor, providing a basis for the fourdimensional representation of SUe.e, the group of 4 x 4 complex unimodular matrices satisfying