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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 paper, a solution of the finite energy sum rule (FESR) for baryon-antibaryon scattering with or without assuming resonances in exotic channels is presented.
Abstract: Discussions are given of possible solutions for the Finite Energy Sum Rules (FESR), applied to baryon-antibaryon scattering, with or without assuming resonances in exotic channels Exotic resonances, assuming they exist, are classified, as a result of factorization, according to 36-plet, 18-plet, 18-plet and nonet It is then shown that these mesons are required to obey an equal spacing mass formula and nonet-like couplings, which are direct extensions of the ideal nonet scheme for 1- and 2+ mesons When there are no resonances in exotic channels, the idea of duality between ordinary meson resonances is not applicable to baryon-antibaryon scattering However, by extending the concept of the duality, it is possible to find a solution of the FESR \"fVe construct an explicit formula with such extended duality, where Regge cuts as well as Regge poles appear in the amplitude in question

5 citations

Journal ArticleDOI
TL;DR: In this article, the flavor-dependent quark-antiquark annihilation amplitude was incorporated into the mass-squared matrix describing the mixing of the isoscalar states of a meson nonet.
Abstract: By incorporating the flavor-dependent quark-antiquark annihilation amplitude into the mass-squared matrix describing the mixing of the isoscalar states of a meson nonet, the new version of Schwinger's nonet mass formula which holds with a high accuracy for the $0^{-+}$, $1^{--}$, $2^{++}$, $2^{-+}$ and $3^{--}$ nonets is derived and the mixing angle of isoscalar octet-singlet for these nonets is obtained. In particular, the mixing angle of isoscalar octet-singlet for pseudoscalar nonet is determined to take the value of $-12.92^\circ$, which is in agreement with the value of $-13^\circ\sim-17^\circ$ deduced from a rather exhaustive and up-to-date analysis of data. It is also pointed out that the omission of the flavor-dependent $q\bar{q}$ annihilation effect might be a factor resulting in the invalidity of Schwinger's original nonet mass formula for pseudoscalar nonet.

5 citations

Journal ArticleDOI
TL;DR: In this paper, a phenomenological model based on an extended version of the Gursey-Radicati mass formula for hadrons was used to predict masses of potential dibaryon states.

5 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that if gravitational waves interpreted as arising from inflation are observed by the PLANCK polarimetry experiment with a Hubble constant during inflation of H{sub inf} {approx}> 10{sup 13} GeV the existence of the first axion is ruled out and the second axion cannot obey the scale independent mass formula.
Abstract: Axion fluctuations generated during inflation lead to isocurvature and non-Gaussian temperature fluctuations in the cosmic microwave background radiation. Following a previous analysis for the model independent string axion we consider the consequences of a measurement of these fluctuations for two additional string axions. We do so independent of any cosmological assumptions except for the axions being massless during inflation. The first axion has been shown to solve the strong CP problem for most compactifications of the heterotic string while the second axion, which does not solve the strong CP problem, obeys a mass formula which is independent of the axion scale. We find that if gravitational waves interpreted as arising from inflation are observed by the PLANCK polarimetry experiment with a Hubble constant during inflation of H{sub inf} {approx}> 10{sup 13} GeV the existence of the first axion is ruled out and the second axion cannot obey the scale independent mass formula. In an appendix we quantitatively justify the often held assumption that temperature corrections to the zero temperature QCD axion mass may be ignored for temperatures T {approx}< {Lambda}{sub QCD}.

5 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20235
202212
202113
202025
201917
201823