Showing papers on "Mass formula published in 2009"
TL;DR: In this article, the Bekenstein-Hawking entropy-area formula in four dimensional extended ungauged supergravity and its electric-magnetic duality property was investigated.
Abstract: We consider the Bekenstein-Hawking entropy-area formula in four dimensional extended ungauged supergravity and its electric-magnetic duality property. Symmetries of both ``large'' and ``small'' extremal black holes are considered, as well as the ADM mass formula for $\mathcal{N}=4$ and $\mathcal{N}=8$ supergravity, preserving different fraction of supersymmetry. The interplay between BPS conditions and duality properties is an important aspect of this investigation.
85 citations
TL;DR: In this paper, the authors improved upon holographic predictions for the nucleon and delta resonance spectra and show how they emerge from a straightforward extension of the "metric soft wall" AdS/QCD dual.
80 citations
TL;DR: In this article, the authors proposed a mechanism for cancelling the QED correction to Koide's formula, which is discussed in an effective theory with U ( 3 ) family gauge symmetry and a scenario in which this symmetry is unified with SU ( 2 ) L symmetry at 10 2 − 10 3 TeV scale.
39 citations
TL;DR: In this article, the equation of state and composition of matter are calculated for conditions typical for pre-collapse and early collapse stages in core collapse supernovae, under the assumption of nuclear statistical equilibrium, when the matter is considered as an almost ideal gas with corrections due to thermal excitations of nuclei, to free nucleon degeneracy, and to Coulomb and surface energy corrections.
Abstract: The equation of state and composition of matter are calculated for conditions typical for pre-collapse and early collapse stages in core collapse supernovae. The composition is evaluated under the assumption of nuclear statistical equilibrium, when the matter is considered as an `almost' ideal gas with corrections due to thermal excitations of nuclei, to free nucleon degeneracy, and to Coulomb and surface energy corrections. The account of these corrections allows us to obtain the composition for densities a bit below the nuclear matter density. Through comparisons with the equation of state (EOS) developed by Shen et al. we examine the approximation of one representative nucleus used in most of recent supernova EOS's. We find that widely distributed compositions in the nuclear chart are different, depending on the mass formula, while the thermodynamical quantities are quite close to those in the Shen's EOS.
37 citations
TL;DR: In this paper, a model of charged lepton sector within an effective field theory with U(3) × SU(2) family gauge symmetry was presented, which predicts Koide's formula within the present experimental accuracy.
Abstract: Koide's mass formula is an empirical relation among the charged lepton masses which holds with a striking precision. We present a model of charged lepton sector within an effective field theory with U(3) × SU(2) family gauge symmetry, which predicts Koide's formula within the present experimental accuracy. Radiative corrections as well as other corrections to Koide's mass formula have been taken into account. We adopt a known mechanism, through which the charged lepton spectrum is determined by the vacuum expectation value of a 9-component scalar field Φ. On the basis of this mechanism, we implement the following mechanisms into our model: (1) The radiative correction induced by family gauge interaction cancels the QED radiative correction to Koide's mass formula, assuming a scenario in which the U(3) family gauge symmetry and SU(2)L weak gauge symmetry are unified at 102–103 TeV scale; (2) A simple potential of Φ invariant under U(3) × SU(2) leads to a realistic charged lepton spectrum, consistent with the experimental values, assuming that Koide's formula is protected; (3) Koide's formula is stabilized by embedding U(3) × SU(2) symmetry in a larger symmetry group. Formally fine tuning of parameters in the model is circumvented (apart from two exceptions) by appropriately connecting the charged lepton spectrum to the boundary (initial) conditions of the model at the cut-off scale. We also disucss some phenomenological implications.
27 citations
TL;DR: The mass excess of the proton-rich nucleus was measured with the JYFLTRAP Penning trap setup as discussed by the authors, and by combining the value to existing experimental data, they have tested the validity of the isobaric multiplet mass equation for the $T=3/2$ quartet in the $A=23$ isobar.
Abstract: The mass excess of the proton-rich nucleus $^{23}\mathrm{Al}$ has been measured with the JYFLTRAP Penning trap setup. As a result of our experiment we obtain a mass excess of 6748.07(34) keV, and by combining the value to existing experimental data we have tested the validity of the isobaric multiplet mass equation $(\mathrm{IMME})$ for the $T=3/2$ quartet in the $A=23$ isobar. The fit to the IMME results in a vanishing cubic term equivalent to zero with high precision [$0.22(42)$ keV].
23 citations
TL;DR: In this paper, it was shown that a consistent treatment of nuclear bulk and surface effects leads to an improved version of the liquid-drop mass formula with modified symmetry and Coulomb terms.
Abstract: It is shown that a consistent treatment of nuclear bulk and surface effects leads to an improved version of the liquid-drop mass formula with modified symmetry and Coulomb terms. If in addition shell effects are modelled through the counting of the number of valence nucleons, a very simple mass formula is obtained with an rms deviation from the 2003 database of atomic masses of about 800keV. As an application, the volume and surface symmetry energy for A
$ \rightarrow$
∞ are determined. A similar description of nuclear radii is suggested with specific reference to the neutron skin.
22 citations
TL;DR: In this article, the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter has been studied and the spin-density-dependent terms have been shown to change the total binding energy of odd nuclei by only few tenths of keV.
Abstract: We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density-dependent terms, which have been recently proposed as an extension of the standard Skyrme interaction, are shown to change the total binding energy of odd nuclei by only few tenths of keV, while the time-odd components of standard Skyrme interactions give an effect that is larger by one order of magnitude. The HFB-17 mass formula based on a Skyrme parametrization is adjusted including the new spin-density-dependent terms. A comprehensive study of binding energies in the whole mass table of 2149 nuclei gives a root mean square (rms) deviation of 0.575 MeV between experimental data and the calculated results, which is as good as the original HFB-17 mass formula. From the analysis of the spin instabilities of nuclear matter, restrictions on the parameters governing the spin-density-dependent terms are evaluated. We conclude that with the extended Skyrme interaction, the Landau parameters G0 and G'0 could be tuned with a large flexibility without changing the ground-state properties in nuclei or nuclear matter.
17 citations
TL;DR: In this article, the quasiblack hole limit of a stationary body when its boundary approaches its own gravitational radius was considered, i.e., its quasihorizon.
Abstract: We consider the quasiblack hole limit of a stationary body when its boundary approaches its own gravitational radius, i.e., its quasihorizon. It is shown that there exists a perfect correspondence between the different mass contributions and the mass formula for quasiblack and black holes in spite of the difference in derivation and meaning of the formulas in both cases. For extremal quasiblack holes the finite surface stresses give zero contribution to the total mass. Analogous properties are derived for the angular momentum.
17 citations
TL;DR: In this article, the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter has been studied, where the spin-density dependent terms, which have been recently proposed as an extension of the standard SKyrme interaction, are shown to change the total binding energy of odd-nuclei by only few tenths of keV.
Abstract: We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the standard Skyrme interaction, are shown to change the total binding energy of odd-nuclei by only few tenths of keV, while the time-odd components of standard Skyrme interactions give an effect that is larger by one order of magnitude. The HFB-17 mass formula based on a Skyrme parametrization is adjusted including the new spin-density dependent terms. A comprehensive study of binding energies in the whole mass table of 2149 nuclei gives a root mean square (rms) deviation of 0.575 MeV between experimental data and the calculated results, which is slightly better than the original HFB-17 mass formula. From the analysis of the spin instabilities of nuclear matter, restrictions on the parameters governing the spin-density dependent terms are evaluated. We conclude that with the extended Skyrme interaction, the Landau parameters $G_0$ and $G_0^\prime$ could be tuned with a large flexibility without changing the ground-state properties in nuclei and in nuclear matter.
14 citations
TL;DR: In this article, a mass formula for arbitrary supersingular abelian surfaces in characteristic p is given, where p is the number of vertices in a supersingularity.
TL;DR: The binding energies of di-hadronic states have been calculated assuming a'molecular' interaction provided by the asymptotic expression of the residual confined gluon exchange potential between the component hadrons in the system.
Abstract: The binding energies of di-hadronic states have been calculated assuming a 'molecular' interaction provided by the asymptotic expression of the residual confined gluon exchange potential between the component hadrons in the system. Meson–meson, meson–baryon and baryon–baryon states have been studied in detail and a mass formula has been used to calculate total mass of the 'molecules'. The calculated data are found to match available experimental values. The calculations allow us to identify exotic states such as f0(0.982), h1(1.17), f2(2.01), etc as di-hadronic molecules.
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TL;DR: In this paper, a mass formula for arbitrary supersingular abelian surfaces in characteristic p is given, where p is the number of vertices in a supersingularity.
Abstract: We show a mass formula for arbitrary supersingular abelian surfaces in characteristic p.
TL;DR: In this paper, the problem of the realization of Wigner spin-isospin SU(4) symmetry in nuclei is analyzed on the basis of available experimental data on nuclide masses in the mass-number range 1 ≤ A ≤ 257.
Abstract: The problem of the realization of Wigner spin-isospin SU(4) symmetry in nuclei is analyzed on the basis of available experimental data on nuclide masses in the mass-number range 1 ≤ A ≤ 257. Empirical expressions are obtained for the universal functions in the Wigner mass formula. The experimental values of the energy of spin-orbit interaction are determined for the aforementioned nuclides. An alternative mechanism of the origin of the odd-even effect in nuclei having an even mass number associated with a specific property of the Casimir operator is proposed. The results obtained in this study suggest that SU(4) symmetry is broken predominantly by spin-orbit interaction.
TL;DR: The origin of the odd-even effect in nuclei can be explained on the basis of an explicit analytic form of the second-degree Casimir operator for even-even and odd-odd nuclides and for nuclei of odd mass number as mentioned in this paper.
Abstract: The properties of the empirical functions in the Wigner mass formula for nuclei, which is based on SU(4) spin-isospin symmetry, are considered. It is shown that the origin of the odd-even effect in nuclei can be explained on the basis of an explicit analytic form of the second-degree Casimir operator for even-even and odd-odd nuclides and for nuclei of odd mass number. Experimental data in support of the proposed Wigner origin of the odd-even effect are presented.
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TL;DR: In this article, the authors analyzed bound states of colored particles and showed that they come in triplets also related by the discrete Fourier transform and gave 39 mass fits for 137 hadrons.
Abstract: Koide's mass formula relates the masses of the charged leptons. It is related to the discrete Fourier transform. We analyze bound states of colored particles and show that they come in triplets also related by the discrete Fourier transform. Mutually unbiased bases are used in quantum information theory to generalize the Heisenberg uncertainty principle to finite Hilbert spaces. The simplest complete set of mutually unbiased bases is that of 2 dimensional Hilbert space. This set is compactly described using the Pauli SU(2) spin matrices. We propose that the six mutually unbiased basis states be used to represent the six color states R, G, B, R-bar, G-bar, and B-bar. Interactions between the colors are defined by the transition amplitudes between the corresponding Pauli spin states. We solve this model and show that we obtain two different results depending on the Berry-Pancharatnam (topological) phase that, in turn, depends on whether the states involved are singlets or doublets under SU(2). A postdiction of the lepton masses is not convincing, so we apply the same method to hadron excitations and find that their discrete Fourier transforms follow similar mass relations. We give 39 mass fits for 137 hadrons.
TL;DR: In this paper, the authors derived a formula for mass of Standard Model Higgs boson by considering certain asymptotic behavior for singular solution of equation of motion (EOM) of Higgs field via Euler-Lagrange equation, in which M H 0 is shown as a rest mass of mass of the field, which maintains Lorentz invariance.
Abstract: A formula for mass of Standard Model Higgs boson is derived by considering certain asymptotic behavior for singular solution of equation of motion (EOM) of Higgs field via Euler-Lagrange equation, in which M H 0 is shown as a rest mass of Higgs boson mass of the field, which maintains Lorentz invariance. Where the asymptotic formula extracts a proper information near the singular solution (vacuum expectation value (vev)) from EOM. By modifying the mass formula to 'mass triangle' with H 0 production scheme of W/Z-fusion process and by obtaining mass representation at a stationary point, the value of M H 0 is determined at 120.611 GeV/c 2 , which is not excluded by latest experimentally preferred mass, and is consistent with simulation result for vector boson fusion.
03 Dec 2009
TL;DR: A formula giving the total number of distinct Type II self-dual codes over of length n is established for each positive integer n divisible by 8.
Abstract: In this paper, we establish a mass formula for even codes over . In particular, a formula giving the total number of distinct Type II self-dual codes over of length n is established for each positive integer n divisible by 8.
TL;DR: In this article, the octet baryon spectrum in the nonrelativistic quark model was investigated by taking into account the two-gluon exchange effect.
Abstract: We report our investigation on the octet baryon spectrum in the nonrelativistic quark model by taking into account the two-gluon exchange effect. The calculated octet baryon masses agree better with the experimental data. It is also shown that the two-gluon exchange interactions bring a significant correction to the Gell-Mann–Okubo mass formula.
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09 Nov 2009
TL;DR: In this article, the authors analyzed the Mass Varying Neutrino (MaVaN) scenario at the background (mean field) level, mainly in the framework of the finite-temperature quantum field theory.
Abstract: We analyze the Mass Varying Neutrino (MaVaN) scenario at the background (mean-field) level, mainly in the framework of the finite-temperature quantum field theory. We study the Dark Energy (DE) – Dark Matter (DM) interactions by considering a minimal model of the massless Dirac fermions coupled to the scalar field. We demonstrate that the mass equation we found has non-trivial solutions only for special classes of the potentials and only within certain temperature intervals. We give most of the results for the Ratra-Peebles DE potential. The thermal (temporal) evolution of the model is analyzed. Following the time arrow, the stable, metastable and unstable phases are predicted. The model predicts that the present Universe is below its critical temperature. At that critical point the Universe undergoes a first-order phase transition from the (meta)stable oscillatory regime to the unstable rolling regime of the DE field. This conclusion agrees with the original idea of the quintessence as a force making the Universe to roll towards its true vacuum with zero �-term. The present MaVaN scenario is free from the coincidence problem, since both the DE density and the neutrino mass are determined by the scale M of the potential. Choosing M � 10 −3 eV to match the present DE density, we obtain the present neutrino mass within the range m � 10 −2 − 10 −1 eV and the consistent estimates for critical temperature of the Universe.
TL;DR: In this article, the mass formula of this solution depends on two parameters h > 0 and q > 0, and the mass surface over the (h-q)-plane shows two slits at h = and q =, and these slits can be tentatively identified as hadrons and leptons with their masses and extensions.
Abstract: Five-dimensional relativity, based on the 5-dimensional vacuum equations Rμν = 0, is interpreted as a general relativistic field theory describing the inner structure of extended elementary particles. The most general} spherically symmetric, purely electric and asymptotically flat solution of the field equations is calculated. The mass formula of this solution depends on two parameters h > 0 and q > 0, and the mass surface over the (h-q)-plane shows two slits at h= and
. These slits can be tentatively identified as hadron branch for h= and lepton branch for
. In the slits hadrons and leptons with their masses and extensions can be settled in local minima.
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TL;DR: In this article, a remarkable compatibility exists between the results of a potential model with constituent quarks and the 1/Nc expansion mass formula for strange and nonstrange baryon resonances.
Abstract: We show that a remarkable compatibility exists between the results of a potential model with constituent quarks and the 1/Nc expansion mass formula for strange and nonstrange baryon resonances. Such compatibility brings support to the basic assumptions of relativistic quark models and sheds light on the physical content of the model-independent large Nc mass formula. Good agreement between both approaches is also found for heavy baryons, made of one heavy and two light quarks, in the ground state band.