Showing papers on "Mass formula published in 1998"
TL;DR: In this paper, the self-consistent single-particle potentials of nucleons, lambda, and sigma hyperons for a system consisting of symmetric nuclear matter and lambda hyperons of uniform densities rN and rL, respectively, were determined.
Abstract: We determine in an extended Brueckner-Hartree-Fock formalism self-consistent single-particle potentials of nucleons, lambda, and sigma hyperons for a system consisting of symmetric nuclear matter and lambda hyperons of uniform densities rN and rL , respectively. The binding energy per baryon of this system is discussed and its maximum strangeness content preserving binding is evaluated. The results are used to introduce a hyperonic symmetry energy term in a generalized mass formula for multistrange hypernuclei. @S0556-2813 ~98!01101-7#
110 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: In this article, the authors obtained explicit expressions for the masses and decay constants using U L (3)⊗ U R(3) chiral perturbation theory at next-to-leading order in a combined expansion in p 2 and 1/n c.
58 citations
TL;DR: The coefficients of the isobaric multiplet mass equation have been calculated for the 430 identified T = 1/2, 1, 3/2 and 2 multiplets and correlations of its b, c coefficients with various nuclear parameters have been sought as discussed by the authors.
42 citations
TL;DR: In this paper, the surface and curvature properties of asymmetric semi-infinite nuclear matter are studied to beyond the proton drip using the semiclassical extended Thomas-Fermi method with corrections of order h 2.
40 citations
TL;DR: In this article, the authors derived a list of three dimensional symmetric space $\sigma$-model obtained by dimensional reduction of a class of four dimensional gravity theories with abelian gauge fields and scalars.
Abstract: In a previous paper with Gibbons [CMP 120 (1987) 295] we derived a list of three dimensional symmetric space $\sigma$-model obtained by dimensional reduction of a class of four dimensional gravity theories with abelian gauge fields and scalars. Here we give a detailed analysis of their group theoretical structure leading to an abstract parametrization in terms of `triangular' group elements. This allows for a uniform treatment of all these models. As an interesting application we give a simple derivation of a `Quadratic Mass Formula' for strictly stationary black holes.
39 citations
TL;DR: In this article, the authors generalize the large Di Vecchia-Veneziano-Witten (VVW) effective chiral Lagrangian to the case of finite √ √ n, by constructing the anomalous effective Lagrangians for QCD.
Abstract: We generalize the large ${N}_{c}$ Di Vecchia--Veneziano-Witten (VVW) effective chiral Lagrangian to the case of finite ${N}_{c}$ by constructing the anomalous effective Lagrangian for QCD. The latter is similar to its supersymmetric counterpart and has a holomorphic structure. The VVW construction is then recovered, along with ${1/N}_{c}$ corrections, after integrating out the heavy ``glueball'' fields. A new mass formula for the ${\ensuremath{\eta}}^{\ensuremath{'}}$ meson in terms of QCD condensates is obtained. The picture of $\ensuremath{\theta}$ dependence in QCD for finite ${N}_{c}$ is more complicated than that predicted by the large ${N}_{c}$ approach.
27 citations
TL;DR: In this article, the problem of the equilibrium of charged aligned masses is discussed within the framework of the electrostatic multi-soliton solution of the Einstein-Maxwell equations, and the equilibrium states in a charged two-body system are considered in detail.
Abstract: The problem of the equilibrium of charged aligned masses is discussed within the framework of the electrostatic multi-soliton solution of the Einstein-Maxwell equations. The equilibrium states in a charged two-body system are considered in detail. We demonstrate the validity of Smarr's mass formula for a charged static black hole when the latter is in electrostatic equilibrium with a superextreme object.
22 citations
TL;DR: The least well-known octet baryon mass is $M = 1314.9 \pm 0.6$ MeV as discussed by the authors, where MeV is the number of quarks in the octet.
Abstract: The least well-known octet baryon mass is $M_{\Xi^0} = 1314.9 \pm 0.6$ MeV. The prospect of an improved measurement of its mass by the KTeV experimental program at Fermilab, and opportunities for improvements in charged and excited hyperon and $\Delta$ mass measurements, makes it timely to re-examine descriptions of isospin splittings in baryons containing light quarks. It is possible by examining such relations as the Coleman-Glashow relation $M_n - M_p + M_{\Xi^-} - M_{\Xi^0} = M_{\Sigma^-} - M_{\Sigma^+}$ to distinguish between those models making use of one- or two-body effects involving quarks and those involving genuine three-body effects. A hierarchy based on an expansion in $1/N_c$, where $N_c$ is the number of quark colors, is useful in this respect. The present status of other quark-model mass relations involving $\Lambda - \Sigma^0$ mixing and the baryon decuplet is also noted, and the degree to which one can determine parameters such as quark mass differences and individual electromagnetic contributions to splittings is discussed.
21 citations
TL;DR: In this article, the origins of the inaccuracies of Schwinger's nonet mass, and the Sakurai mass-mixing angle, formulae for the pseudoscalar meson nonet, were investigated.
19 citations
TL;DR: In this paper, a simple expression for the melting temperature of small particles is obtained by a classical approach based upon the Wiezsacker mass formula for the atom, and the effect of different geometries is also discussed.
Abstract: A simple expression for the melting temperature of small particles is obtained by a classical approach based upon the Wiezsacker mass formula for the atom. The effect of different geometries is also discussed.
TL;DR: By assuming the existence of (quasi-linear Regge trajectories for 25-plet mesons in the low-energy region, this paper derived a new 14th power meson mass relation.
Abstract: By assuming the existence of (quasi)-linear Regge trajectories for 25-plet mesons in the low-energy region, we derive a new, 14th power, meson mass relation. This relation may be reduced to a quadratic Gell-Mann-Okubo-type formula by fitting the values of the Regge slopes of these (quasi)-linear trajectories. Such a formula holds with an accuracy of % for vector mesons, and also suggests that the quantum number should be assigned to both the and mesons discovered recently. We also discuss reasons for the failure of group theory to produce correct mass relations for heavy quarkonia.
TL;DR: In this article, the effect of in-medium vector and axial-vector meson masses on photon production was studied, and it was shown that the thermal production rate of photons increases with reduced masses, and is enhanced by an order of magnitude at T=160thinspMeV with m{sub {rho}}=300thins pMeV.
Abstract: The effect of in-medium vector and axial-vector meson masses on photon production is studied. We assume that the effective mass of a vector meson in hot nuclear matter decreases according to a universal scaling law, while that of an axial-vector meson is given by Weinberg{close_quote}s mass formula. We find that the thermal production rate of photons increases with reduced masses, and is enhanced by an order of magnitude at T=160thinspMeV with m{sub {rho}}=300thinspMeV. Assuming a hydrodynamic evolution, we estimate the effect of the reduced masses on photon production in nucleus-nucleus collisions. The result is compared to experimental data from the WA80/WA98 Collaboration. {copyright} {ital 1998} {ital The American Physical Society}
TL;DR: In this article, a new SU(3) nonet mass formula was derived for the pseudoscalar and scalar mesons in the Nambu-Jona-Lasinio model with instanon-induced interaction.
TL;DR: In this article, an extension of the Weizsacker mass formula is proposed for the simultaneous description of normal (i.e. non-strange) nuclei and Λ hypernuclei.
TL;DR: In this paper, the mass spectrum of BPS solitons with one kind of R-R charges was analyzed based on the Dirac-Born-Infeld (DBI) action and the fact that BPS states correspond to SUSY cycles with minimal volumes.
TL;DR: Based on the diquark cluster model, an interpretation of the anomalous baryon states which were observed in the missing mass spectrum of the reactions pp→ pπ+X is presented in this paper.
Abstract: Based on the diquark cluster model, an interpretation of the anomalous baryon states which were observed in the missing mass spectrum of the reactions pp→ pπ+X is presented. The masses of these anomalous baryon states are well reproduced by the mass formula of the diquark cluster model which does not involve any free parameter. It is suggested that the anomalous baryon states are caused by the fixation of the junction of the color flux.
TL;DR: In this article, the formulation of manifestly covariant relativistic statistical mechanics as the description of an ensemble of events in spacetime parametrized by an invariant proper-time τ is reviewed.
Abstract: The formulation of manifestly covariant relativistic statistical mechanics as the description of an ensemble of events in spacetime parametrized by an invariant proper-time τ is reviewed. The linear and cubic mass spectra, which result from this formulation (the latter with the inclusion of anti-events) as the actual spectra of an individual hadronic multiplet and hot hadronic matter, respectively, are discussed. These spectra allow one to predict the masses of particles nucleated to quasi-levels in such an ensemble. As an example, the masses of the ground-state mesons and baryons are considered; the results are in excellent agreement with the measured hadron masses. Additivity of inverse Regge slopes is established and shown to be consistent with available experimental data on the D meson and Λc baryon production.
TL;DR: In this article, the authors generalise the Langfeld-Kettner identity to include the full response of the constituent quark correlators to the presence of a non-zero (and momentum dependent) quark current mass.
Abstract: The often used Gell-Mann–Oakes–Renner (GMOR) mass formula for Nambu-Goldstone (NG) bosons in QCD, such as the pions, involves the condensate ·q q O fp and the quark current masses. Within the context of the Global Colour Model (GCM) for QCD a manifestly different formula was recently found. Remarkably, Langfeld and Kettner have shown the two formulae to be equivalent. Here we note that the above recent analyses refer to the constituent pion and not the exact pion, even within the GCM. Further we generalise the Langfeld-Kettner identity to include the full response of the constituent quark correlators to the presence of a non-zero (and momentum dependent) quark current mass. Results are reported using an effective gluon correlator from meson data fitting.
01 Nov 1998
TL;DR: In this paper, it is argued that in the presence of non-perturbative effects many of these vacua are still consistent, and the perturbative massless sector can be computed explicitly from the perturbed mass formula subject to an extra shift in the vacuum energy.
Abstract: We consider D = 6, N = 1, Z M orbifold compactifications of heterotic strings in which the usual modular invariance constraints are violated. It is argued that in the presence of non-perturbative effects many of these vacua are nevertheless consistent. The perturbative massless sector can be computed explicitly from the perturbative mass formula subject to an extra shift in the vacuum energy. The non-perturbative piece is given by five-branes either moving in the bulk or stuck at the fixed points. We also discuss how to carry out this type of construction to the D = 4, N = 1 case and specific examples are presented in which non-perturbative transitions changing the number of chiral generations do occur.
TL;DR: In this article, the pole positions of various baryon resonances have been found to reveal a well-pronounced clustering, the so-called Hohler cluster.
Abstract: The pole positions of various baryon resonances have been found to reveal a well-pronounced clustering, the so-called Hohler cluster. In a previous work, the Hohler clusters have been shown to be identical to Lorentz multiplets of the type with l′ integer. Here we show that the cluster positions are well-described by means of a Balmer series like recursive mass formula.
TL;DR: In this paper, the pole positions of various baryon resonances have been found to reveal a well pronounced clustering, the so-called H"ohler cluster, and the cluster positions are well described by means of a Balmer-series like recursive mass formula.
Abstract: The pole positions of various baryon resonances have been found to reveal a well pronounced clustering, the so-called H"ohler cluster. In a previous work, the H"ohler clusters have been shown to be identical to Lorentz multiplets of the type (1/2+l', 1/2+l')*[(1/2,0)+(0,1/2)] with l' integer. Here we show that the cluster positions are well described by means of a Balmer-series like recursive mass formula.
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TL;DR: In this article, consistent heterotic orbifold compactifications, including non-perturbative information, can be constructed using modular invariance constraints, and the perturbative massless sector can be computed explicitly from the perturbed mass formula subject to an extra shift in the vacuum energy.
Abstract: We indicate how consistent heterotic orbifold compactifications, including non perturbative information, can be constructed. We first analyse the situation in six dimensions, N=1, where strong coupling effects, implying the presence of five branes, are better known. We show that anomaly free models can be obtained even when usual modular invariance constraints are not satisfied. The perturbative massless sector can be computed explicitly from the perturbative mass formula subject to an extra shift in the vacuum energy. Explicit examples in D=4, N=1 are presented. Generically, examples exhibit non perturbative transitions leading to gauge enhancement and/or changing the number of chiral generations.
01 Jan 1998
TL;DR: In this paper, the existence and properties of baryons with the Planck mass are discussed and a model for baryon stability and three-quark saturation is proposed, which predicts the Gell-Mann-Okubo mass formula for the SU 3 octet.
Abstract: The universal constants G, c and ħ comprise the Planck mass, (ћ c/G) 1/2 ≈ 10−5 g. We present arguments for the existence and properties of particles with this mass, describe how they serve as the constituents for a gravitational theory of matter, and explore the cosmological implications of this theory. Specifically, we describe a gravitational rotator model for baryons and show how this accounts for baryon stability and the three-quark saturation of baryons and that it predicts the Gell-Mann-Okubo mass formula for the SU 3 octet and the equal spacing rule for the SU 3 decuplet. We review how these particles provide a unified approach to major cosmological problems and we treat such current problems as the formation of stars and galaxies, the cosmic ray spectrum and the solar neutrino deficiency.