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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: The formalism of spherical harmonics for coset spaces is used to obtain the complete mass spectrum of the bosonic excitations around a class of vacuum solutions of d = 11 supergravity in which the internal space is a coset manifold and the three-index photon is given by the Freund-Rubin ansatz as discussed by the authors.
Abstract: The formalism of spherical harmonics for coset spaces is used to obtain the complete mass spectrum of the bosonic excitations around a class of vacuum solutions of d=11 supergravity in which the internal space is a coset manifold and the three-index photon is given by the Freund-Rubin ansatz (1978). The mass formula is given in terms of the eigenvalues of the invariant operators on the internal space.
71 citations
TL;DR: In this article, the mass of the newly discovered pentaquark was calculated within the framework of the SU(3) Skyrme model and various estimates based on the model independent approach were compared with the model results and with the chiral quark model.
70 citations
TL;DR: A mass formula for n-dimensional unimodular lattices having any prescribed root system is derived using Katsurada's formula for the Fourier coefficients of Siegel Eisenstein series and better lower bounds are computed on the number of inequivalent unimodULAR lattices in dimensions 26 to 30 than those afforded by the Minkowski-Siegel mass constants.
Abstract: We derive a mass formula for n-dimensional unimodular lattices having any prescribed root system We use Katsurada's formula for the Fourier coefficients of Siegel Eisenstein series to compute these masses for all root systems of even unimodular 32-dimensional lattices and odd unimodular lattices of dimension n ≤ 30 In particular, we find the mass of even unimodular 32- dimensional lattices with no roots, and the mass of odd unimodular lattices with no roots in dimension n ≤ 30, verifying Bacher and Venkov's enumerations in dimensions 27 and 28 We also compute better lower bounds on the number of inequivalent unimodular lattices in dimensions 26 to 30 than those afforded by the Minkowski-Siegel mass constants
70 citations
TL;DR: In this paper, the authors consider D = 6, N = 1, ZM orbifold compactifications of heterotic strings in which the usual modular invariance constraints are violated.
69 citations
TL;DR: Aaij et al. as mentioned in this paper investigated the possibility that the lightest pentaquark state recently reported by the LHCb Collaboration [R. Aaij, et al., Phys. Rev. Lett. 115, 072001 (2015)PRLTAO0031-900710.
Abstract: We investigated the possibility that the lightest pentaquark state recently reported by the LHCb Collaboration [R. Aaij et al., Phys. Rev. Lett. 115, 072001 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.072001; 117, 082002 (2016)10.1103/PhysRevLett.117.082002; 117, 082003 (2016)10.1103/PhysRevLett.117.082003], Pc+(4380), could be described as a compact pentaquark state. By using very general arguments, dictated by symmetry considerations, we described the pentaquark states within a group theory approach. A complete classification of all possible states and quantum numbers, which can be useful both to the experimentalists in their search for new findings and to theoretical model builders, is given, without introducing any particular dynamical model. Some predictions are provided by means of a Gursey-Radicati inspired mass formula. We have reproduced the mass and the quantum numbers of the lightest pentaquark state reported by LHCb, Pc+(4380), and have predicted other pentaquark resonances which belong to the same multiplet as the lightest one. Having calculated the masses of these resonances, we suggest possible bottom baryon decay channels which involve the predicted resonances as intermediate states. Finally, we have computed the partial decay widths for all the predicted pentaquark resonances.
68 citations