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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, a refined version of the compressible liquid drop model of the nucleus introduced by Baym, Bethe, and Pethick has been developed, and by fitting the model to the binding and Coulomb energies of heavy nuclei, they redetermine phenomenologically the bulk and surface properties of symmetric nuclear matter.
53 citations
TL;DR: A systematic investigation of the modification of the chiral transition phenomena due to the choice of the form factor of the effective interaction is presented and a particular case of nonlocal separable interaction is discussed.
Abstract: The Schwinger-Dyson equation for the quark propagator and the Bethe-Salpeter equations for the quark-meson vertex functions are derived within nonlocal effective QCD in the quark sector using functional integral techniques at finite temperature. We apply the approach for separable instantaneous interactions and derive mass formulas for the scalar and pseudoscalar mesons. The pion mass obeys the Goldstone theorem. The sigma meson mass is lowered when the interaction kernel is not constant. The temperature behavior of the constituent quark mass and the scalar as well as pseudoscalar meson masses is obtained from a self-consistent numerical solution to the coupled set of Schwinger-Dyson and Bethe-Salpeter equations. We present a systematic investigation of the modification of the chiral transition phenomena due to the choice of the form factor of the effective interaction. The standard Nambu--Jona-Lasinio model is discussed as a particular case of nonlocal separable interaction.
52 citations
52 citations
TL;DR: The mass formula allows us to distinguish meson states which are not {ital q{bar q}} type, such as {ital a}{sub 0}(980), and the parameters appearing in this mass formula from fits to 57 well-established mesons are determined.
Abstract: We construct a mass formula for the stringlike properties of {ital q{bar q}} mesons, based on the spectrum-generating algebra U(4){direct product}SU{sub {ital s}}(2){direct product}SU{sub {ital f}}({ital n}){direct product}SU{sub {ital c}}(3), with U(4){contains}SO(4) dynamic symmetry. We determine the parameters appearing in this mass formula from fits to 57 well-established mesons in the Particle Data Group summary table. The average deviation for the mass squared of these mesons is 5.7% for our fit of all meson families combined. The mass formula allows us to distinguish meson states which are not {ital q{bar q}} type, such as {ital a}{sub 0}(980).
52 citations
TL;DR: In this article, the authors investigated higher grading integrable generalizations of the affine Toda systems, where the flat connections defining the models take values in eigensubspaces of an integral gradation of an affine Kac-Moody algebra, with grades varying from l to − l ( l > 1).
51 citations