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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 pseudoscalar meson mass formula in quenched chiral perturbation theory to one-loop order is determined by quenches lattice QCD with overlap Dirac operator, and from which the light quark masses are determined with the experimental inputs of pion and kaon masses, and the pion decay constant.
Abstract: The parameters in the pseudoscalar meson mass formula in quenched chiral perturbation theory to one-loop order are determined by quenched lattice QCD with overlap Dirac operator, and from which the light quark masses are determined with the experimental inputs of pion and kaon masses, and the pion decay constant. Our results are $ m_{u,d} = 5.3 \pm 0.3 $ MeV, and $ m_s = 115\pm 8 $ MeV, in the $ \bar{MS} $ scheme at scale $ \mu = 2 $ GeV.
4 citations
TL;DR: In this article, the relativistic quark model of hadrons was proposed and the matrix elements for the above processes were calculated directly by considering appropriately Lorentz-boosted hadronic states.
Abstract: Radiative decays of mesons, both $V\ensuremath{\rightarrow}P\ensuremath{\gamma}$ and $P\ensuremath{\rightarrow}V\ensuremath{\gamma}$, are calculated in a relativistic quark model of hadrons proposed earlier by one of the authors. The matrix elements for the above processes are calculated directly by considering appropriately Lorentz-boosted hadronic states. The electromagnetic current operator in terms of the appropriately Lorentz-boosted quark field operators are utilized. Only the wave functions of hadrons enter the picture. No vector dominance is assumed. Mixing angles of mesons are taken from quadratic mass formula in SU(3). Thus with no adjustable free parameters or concepts, there is reasonable agreement with experimental results.
4 citations
TL;DR: A justification of the Fermi term for the pairing energy in the Weizsacker semi-empirical mass formula is given and it is shown that the pairing energies delta N and delta Z are separately equal to the energy gaps DELTA N and DELTA Z.
4 citations
TL;DR: In this article, the mass of 40Ti has been determined by using the isobaric multiplet mass equation method and the experimental data of the 40Ti β-decay were used to determine the level of the isospin analogue state of 40Sc.
Abstract: The mass of 40Ti has been determined by using the isobaric multiplet mass equation method The experimental data of the 40Ti β-decay were used to determine the level of the isospin analogue state of 40Sc The ground-state mass excess and the QEC value for 40Ti were determined to be -9060±12 keV and 11 466 ± 13 keV, respectively
4 citations
TL;DR: In this article, the number of parameters which occur in perturbation expansions of masses and electromagnetic quantities within unitary symmetry is calculated, and the contributions of various irreducible parts in the second order mass formula are then separated and properly normalized; which allows to compare the relative magnitude of the different orders of perturbations in the physically interesting cases.
Abstract: The number of parameters which occur in perturbation expansions of masses and electromagnetic quantities within unitary symmetry is calculated. The contributions of the various irreducible parts in the second order mass formula are then separated and properly normalized; which allows to compare the relative magnitude of the different orders of perturbation in the physically interesting cases.
4 citations