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Mass formula
About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.
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TL;DR: In this article, the effect of in-medium vector and axial-vector meson masses on photon production was studied, and it was shown that the thermal production rate of photons increases with reduced masses, and is enhanced by an order of magnitude at T=160thinspMeV with m{sub {rho}}=300thins pMeV.
Abstract: The effect of in-medium vector and axial-vector meson masses on photon production is studied. We assume that the effective mass of a vector meson in hot nuclear matter decreases according to a universal scaling law, while that of an axial-vector meson is given by Weinberg{close_quote}s mass formula. We find that the thermal production rate of photons increases with reduced masses, and is enhanced by an order of magnitude at T=160thinspMeV with m{sub {rho}}=300thinspMeV. Assuming a hydrodynamic evolution, we estimate the effect of the reduced masses on photon production in nucleus-nucleus collisions. The result is compared to experimental data from the WA80/WA98 Collaboration. {copyright} {ital 1998} {ital The American Physical Society}
9 citations
TL;DR: In this article, the meson spectrum obtained from massive open string modes in a holographic dual of QCD constructed on the basis of a D4/D8-brane configuration in type IIA string theory was studied.
Abstract: We study meson spectrum obtained from massive open string modes in a holographic dual of QCD constructed on the basis of a D4/D8-brane configuration in type IIA string theory. The spectrum includes mesons with spin higher than one. Taking into account the effect of curved background perturbatively, we obtain a mass formula for these mesons, which exhibits the linear Regge behavior at the leading order with subleading non-linear corrections. We argue that the string spectrum captures some features of the observed meson spectrum. For example, a_2(1320), b_1(1235), \pi(1300), a_0(1450), etc., are identified as the first excited massive open string states and \rho_3(1690), \pi_2(1670), etc., are identified as the second excited states.
9 citations
TL;DR: In this article, the mass of an asymptotically flat 3-manifold along faces and edges of a large coordinate cube is derived by integrating the angle defect detected by the boundary term in the Gauss-Bonnet theorem.
Abstract: Inspired by a formula of Stern that relates scalar curvature to harmonic functions, we evaluate the mass of an asymptotically flat 3-manifold along faces and edges of a large coordinate cube. In terms of the mean curvature and dihedral angle, the resulting mass formula relates to Gromov’s scalar curvature comparison theory for cubic Riemannian polyhedra. In terms of the geodesic curvature and turning angle of slicing curves, the formula realizes the mass as integration of the angle defect detected by the boundary term in the Gauss–Bonnet theorem.
9 citations
TL;DR: In this article, the isobaric multiplet mass equation and existing spectroscopic information have been used to establish systematics for E/sub C/sup(/sup 1/) and E /sub C//sup( /sup 2/) of the nuclear Coulomb energy up to A = 60.
Abstract: The isobaric multiplet mass equation and existing spectroscopic information have been used to establish systematics for E/sub C//sup(/sup 1/) and E/sub C//sup(/sup 2/) of the nuclear Coulomb energy and extend the concept of isobaric multiplets in a coherent manner up to A = 60. Collateral information on masses of T/sub z/ = -1,-2 nuclei and radii is also presented.
9 citations
TL;DR: In this article, the relation between the masses in a unitary multiplet is derived from the U- and I-spin properties of the mass splitting interactions. And the Gell-Mann-Okubo formula is just an equal spacing rule for particles within a U-multiplet.
9 citations