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Showing papers on "Mass formula published in 2008"


Journal ArticleDOI
TL;DR: In this article, the semi-empirical mass formula of Bethe and von Weizsacker is extended to include a number of additional terms, and all possible combinations of extra terms are fitted in turn to the measured nuclear masses and the results analysed in order to reveal correlations and mutual influences between the various terms.

77 citations


Journal ArticleDOI
TL;DR: In this paper, a two-flavor chiral perturbation theory is used to describe hyperons and a formula for the mass of the omega baryon is derived to sixth order in this expansion.

39 citations


Journal ArticleDOI
TL;DR: In this article, the authors investigated the influence of the asymmetric quark matter on the mass of quasiparticles and the phase diagram of the chiral quark model parametrized at the one-loop level of the renormalized theory, using the optimized perturbation theory for the resumption of the perturbative series.
Abstract: We investigate the influence of the asymmetric quark matter (${\ensuremath{\rho}}_{u}\ensuremath{ e}{\ensuremath{\rho}}_{d}\ensuremath{ e}{\ensuremath{\rho}}_{s}$) on the mass of the quasiparticles and the phase diagram of the chiral quark model parametrized at the one-loop level of the renormalized theory, using the optimized perturbation theory for the resummation of the perturbative series. The effect of various chemical potentials introduced in the grand canonical ensemble is investigated with the method of relativistic many-body theory. The temperature dependence of the topological susceptibility is estimated with the help of the Witten-Veneziano mass formula.

34 citations


Journal ArticleDOI
TL;DR: In this paper, the authors studied dynamical baryons in the holographic QCD model of Sakai and Sugimoto in the case of three flavors, with special interest in the construction of the Chern-Simons (CS) term.
Abstract: We study dynamical baryons in the holographic QCD model of Sakai and Sugimoto in the case of three flavors, with special interest in the construction of the Chern-Simons (CS) term. The baryon classical solution in this model is given by the BPST instanton, and we carry out the collective coordinate quantization of this solution. The CS term should give rise to a first-class constraint which selects baryon states with the correct spins. However, the original CS term written in terms of the CS 5-form does not do so. Considering this fact, we propose a new CS term that is gauge invariant and takes the form of an integral over a six-dimensional space whose boundary is the original five-dimensional spacetime of the holographic model. Collective coordinate quantization using our new CS term leads to the correct baryon states and their mass formula.

32 citations


Journal ArticleDOI
TL;DR: In this article, the sensitivity of the isoscaling parameters to the mass formula employed in grand-canonical calculations was studied. But the symmetry energy implied in such calculations is anomalously smaller than that suggested by fits to nuclear masses.
Abstract: Using different parametrizations of the nuclear mass formula, we study the sensitivity of the isoscaling parameters to the mass formula employed in grand-canonical calculations. Previous works on isoscaling have suggested that the symmetry energy implied in such calculations is anomalously smaller than that suggested by fits to nuclear masses. We show that surface corrections to the symmetry energy naturally broadens the isotopic distribution thus allowing for values of the symmetry energy which more closely match those obtained from nuclear masses.

27 citations



Journal ArticleDOI
TL;DR: An improved version of the liquid drop model is presented in this paper, where the addition of two terms, linear and quadratic in the total number of valence nucleons (particles or holes), improves the description of atomic masses, which can be fitted with an r.m.s.

22 citations


Journal ArticleDOI
TL;DR: Using the mass formula, self-dual codes of lengths up to n = 8 over the ring Z 9, n = 7 over Z 25 and n = 6 over Z 49 are classified.

20 citations


Journal ArticleDOI
TL;DR: In this paper, a number of tests are introduced which probe the ability of nuclear mass models to extrapolate and the Duflo-Zuker formula emerges as a powerful predictive tool.

19 citations


Journal ArticleDOI
TL;DR: A generalized mass formula was used to calculate the neutron and proton drip lines of normal and lambda hypernuclei treating nonstrange and strange nuclei on the same footing as mentioned in this paper.
Abstract: A generalized mass formula is used to calculate the neutron and proton drip lines of normal and lambda hypernuclei treating non-strange and strange nuclei on the same footing. Calculations suggest existence of several bound hypernuclei whose normal cores are unbound. Addition of Lambda or, Lambda-Lambda hyperon(s) to a normal nucleus is found to cause shifts of the neutron and proton driplines from their conventional limits.

17 citations


Journal ArticleDOI
TL;DR: A generalized mass formula was used to calculate the neutron and proton drip lines of normal and lambda hypernuclei treating nonstrange and strange nuclei on the same footing.
Abstract: A generalized mass formula is used to calculate the neutron and proton drip lines of normal and lambda hypernuclei treating non-strange and strange nuclei on the same footing. Calculations suggest the existence of several bound hypernuclei whose normal cores are unbound. Addition of Λ or ΛΛ hyperon(s) to a normal nucleus is found to cause non-uniform shifts of the neutron and proton drip lines from their conventional limits making existance of a few exotic hypernuclei beyond the normal drip lines possible.

Journal ArticleDOI
TL;DR: In this paper, the mass of excited states of mixed orbital symmetry and nonstrange baryons derived in the 1 / N c expansion were derived based on the separation of a system of N c quarks into a symmetric core and an excited quark, and an advantage of this new approach is to substantially reduce the number of linearly independent operators entering the mass formula.

Journal ArticleDOI
TL;DR: In this paper, it was shown that there exists a strict correspondence between the mass formulas for quasi-black holes and pure black holes, in spite of the difference in derivation and meaning of the formulas in both cases.
Abstract: A quasi-black hole, either nonextremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's quasihorizon. We consider the mass contributions and the mass formula for a static quasi-black hole. The analysis involves careful scrutiny of the surface stresses when the limiting configuration is reached. It is shown that there exists a strict correspondence between the mass formulas for quasi-black holes and pure black holes. This perfect parallelism exists in spite of the difference in derivation and meaning of the formulas in both cases. For extremal quasi-black holes the finite surface stresses give zero contribution to the total mass. This leads to a very special version of Abraham-Lorentz electron in general relativity in which the total mass has pure electromagnetic origin in spite of the presence of bare stresses.

Journal ArticleDOI
TL;DR: Semi-empirical systematics of the reaction cross-section was obtained at incident proton energies 7.5MeV, 12.4MeV and 24.8MeV as discussed by the authors.
Abstract: Semi-empirical systematics of the (p, n) reaction cross-section was obtained at incident proton energies 7.5MeV, 12.4MeV and 24.8MeV. Systematics is based on analytical formulas derived using the pre-equilibrium exciton model, evaporation model and semi-empirical mass formula Parameters of systematics were fitted to the data obtained from the analysis of available measured (p, n) reaction cross-section.

Posted Content
TL;DR: In this article, it was shown that D_4 does not have a mass formula when the local Galois representations to D-4 are weighted in the same way as representations to S_4 were weighted in Bhargava's mass formula.
Abstract: Bhargava proved a formula for counting, with certain weights, degree n etale extensions of a local field, or equivalently, local Galois representations to S_n. This formula is motivation for his conjectures about the density of discriminants of S_n-number fields. We prove there are analogous ``mass formulas'' that count local Galois representations to any group that can be formed from symmetric groups by wreath products and cross products, corresponding to counting towers and direct sums of etale extensions. We obtain as a corollary that the above mentioned groups have rational character tables. Our result implies that D_4 has a mass formula for certain weights, but we show that D_4 does not have a mass formula when the local Galois representations to D_4 are weighted in the same way as representations to S_4 are weighted in Bhargava's mass formula.

Journal ArticleDOI
TL;DR: In this article, a larger connection was established between the quark model and the 1/N{sub c} and 1/m{sub Q} expansion method by extending the previous procedure to baryons made of one heavy and two light quarks.
Abstract: A good agreement between a flux tube-based quark model of light baryons (strange and nonstrange) and the 1/N{sub c} expansion mass formula has been found in previous studies In the present work a larger connection is established between the quark model and the 1/N{sub c} and 1/m{sub Q} expansion method by extending the previous procedure to baryons made of one heavy and two light quarks The compatibility between both approaches is shown to hold in this sector too

Journal ArticleDOI
TL;DR: In this paper, double-beta decay Q values are used as a filter for extracting symmetry energy and Wigner energy coefficients across the full range of nuclei, from A = 10 to A = 246.

Posted Content
TL;DR: In this paper, a lattice theory is used to explain the rest masses of the stable mesons and baryons and their spin, from the mass of the charged pi-mesons followed by the weight of the muons.
Abstract: Lattice theory is used to explain the rest masses of the stable mesons and baryons and their spin. From the mass of the charged pi-mesons follows the mass of the muons. From the mass of the muons follows the mass of the electron. We do not use hypothetical particles. Only photons, neutrinos and charge are needed to explain the mass of the elementary particles.

Journal ArticleDOI
TL;DR: In this article, a charged lepton mass formula is explained when the masses are proportional to the squared vacuum expectation values (VEVs) of scalar fields, and a U(3) flavor symmetry and its nonet scalar field Φ, whose VEV structure plays an essential role for generating the fermion mass spectrum.

Journal ArticleDOI
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 and meson- baryon states have been studied in detail and a mass formula has been used to calculate total mass of the 'molecules'.

Journal ArticleDOI
TL;DR: A review of recent advances in the theoretical analysis of nuclear mass models and their predictive power is presented in this paper, where three models are analyzed in detail: the liquid drop model (LDM), the liquid-drop model plus empirical shell corrections (LDMM), and the Duflo-Zuker mass formula (DZ).
Abstract: A review of recent advances in the theoretical analysis of nuclear mass models and their predictive power is presented. After introducing two tests which probe the ability of nuclear mass models to extrapolate, three models are analyzed in detail: the liquid drop model (LDM), the liquid drop model plus empirical shell corrections (LDMM) and the Duflo–Zuker mass formula (DZ). The DZ model is exhibited as the most predictive model. The Garvey–Kelson mass relations are also discussed. It is shown that their fulfillment probes the consistency of the most commonly used mass formulae, and that they can be used in an iterative process to predict nuclear masses in the neighborhood of nuclei with measured masses, offering a simple and reproducible procedure for short range mass predictions.

Journal ArticleDOI
TL;DR: In this paper, a model of charged lepton sector within an effective field theory with U(3) \times 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) \times 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 \Phi. 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 10^2-10^3 TeV scale; (2) A simple potential of \Phi invariant under U(3) \times 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) \times 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.

Journal ArticleDOI
01 May 2008
TL;DR: The Lie superalgebra u(4|4) as mentioned in this paper is used to classify cluster states in light nuclei by means of a mass formula based on a particular chain of subalgebras.
Abstract: The Lie superalgebra u(4|4) is proposed and used to classify cluster states in light nuclei by means of a mass formula based on a particular chain of subalgebras. The building blocks, n,p,d and α particles are the superpartners corresponding to the totally supersymmetric N = 1 IRREP of u(4|4). A number of states of other nuclei (from 5He to 16O) are interpreted as cluster configurations formed by 2 or more building blocks and corresponding to N = 2, 3, ... and their energy is reproduced to a reasonable accuracy. The u(4|4) cluster supersymmetry seems therefore to be approximately realized in nature since it accommodates in a single scheme many nuclear states pertaining to different even and odd isotopes. This furnishes a second important example of supersymmetry in nuclear physics.

Posted Content
TL;DR: In this paper, the Morse-type potential was derived from the GMO mass formula and its modified accurate mass formula, and some simple mass formulas were obtained, from this they predicted some masses of unknown hadrons.
Abstract: The base is the Lagrangian of symmetry and its dynamical breaking or Higgs breaking. When the soliton-like solutions of the scalar field equations are substituted into the spinor field equations, in the approximation of non-relativity we derive the Morse-type potential, whose energy spectrum is the GMO mass formula and its modified accurate mass formula. According to the symmetry of s-c quarks, the heavy flavor hadrons which made of u,d and c quarks may be classified by SU(3) octet and decuplet. Then some simple mass formulas are obtained, from this we predict some masses of unknown hadrons.

Posted Content
TL;DR: In this paper, a relativistic wave equation for the potential is analized and two exact asymptotic solutions of the equation are used to derive an interpolating mass formula for gluonium states and the Pomeron trajectory.
Abstract: Pomeron is modeled as a system of two interacting by the Cornell potential massive gluons. In bound state region, a relativistic wave equation for the potential is analized. Two exact asymptotic solutions of the equation are used to derive an interpolating mass formula for gluonium states and the Pomeron trajectory in the whole region. The trajectory obtained is linear at large timelike $t$ and flattens off at -1 in the scattering region at large $-t$. Parameters of the trajectory are found from the fit of recent HERA data for $\alpha_P(t)$.

Journal ArticleDOI
TL;DR: With the use of the E-infinity theory and the Regge pole model, Wang et al. as mentioned in this paper calculated the masses of the excited states in hadrons, and obtained the nice agreement with experiments.
Abstract: With the use of Regge pole model and E-infinity theory, we have calculated the masses of the excited states in hadrons, and obtained the nice agreement with experiments. We have shown the Regge–Chew–Frautschi diagrams and discussed some properties of excited states in hadrons. We have also classified the masses of elementary particles according to the mass formula m k = b l n ( k ) ( 〈 m π 〉 ) l ( ϕ ) n δ k , which we have used in this paper.

Posted Content
TL;DR: A mass formula for self-orthogonal codes over Z_{p^2}, where p is a prime, is established, which includes a mass formulas for Type II quaternary codes as a special case.
Abstract: In this note, we establish a mass formula for self-orthogonal codes over Z_{p^2}, where p is a prime. As a consequence, an alternative proof of the known mass formulas for self-dual codes over Z_{p^2} is obtained. We also establish a mass formula for even quaternary codes, which includes a mass formula for Type II quaternary codes as a special case.

Proceedings ArticleDOI
TL;DR: In this article, the exact wave function of the $[{\bf 70, 1^-]$ multiplet in the orbital, spin and flavor space was constructed using standard group theoretical techniques.
Abstract: Using standard group theoretical techniques we construct the exact wave function of the $[{\bf 70},1^-]$ multiplet in the orbital, spin and flavor space. This symmetric wave function is compared to that customarily used in the $1/N_c$ expansion, which is asymmetric. The comparison is made by analyzing the matrix elements of various operators entering the mass formula. These matrix elements are calculated by the help of isoscalar factors of the permutation group, specially derived for this purpose as a function of $N_c$. We also compare two distinct methods used in the study of the $[{\bf 70},1^-]$ multiplet. In the first method the generators are divided into two parts, one part acting on a subsystem of $N_c-1$ quarks called core and another on the separated quark. In the second method the system is treated as a whole. We show that the latter is simpler and allows to clearly reveal the physically important operators in the mass formula.

Proceedings ArticleDOI
04 Jan 2008
TL;DR: In this paper, the authors determine theoretically the relation between the total number of protons Np and the mass number A (the charge to mass ratio) of nuclei and neutron cores with the model recently proposed by Ruffini et al.
Abstract: We determine theoretically the relation between the total number of protons Np and the mass number A (the charge to mass ratio) of nuclei and neutron cores with the model recently proposed by Ruffini et al. (2007) and we compare it with other Np versus A relations: the empirical one, related to the Periodic Table, and the semi‐empirical relation, obtained by minimizing the Weizsacker mass formula. We find that there is a very good agreement between all the relations for values of A typical of nuclei, with differences of the order of per cent. Our relation and the semi‐empirical one are in agreement up to A∼104; for higher values, we find that the two relations differ. We interprete the different behaviour of our theoretical relation as a result of the penetration of electrons (initially confined in an external shell) inside the core, that becomes more and more important by increasing A; these effects are not taken into account in the semi‐empirical mass‐formula.

Proceedings ArticleDOI
TL;DR: In this article, the relation between the total number of protons and the mass number of nuclei and neutron cores with the model recently proposed by Ruffini et al. was determined theoretically.
Abstract: We determine theoretically the relation between the total number of protons $N_{p}$ and the mass number $A$ (the charge to mass ratio) of nuclei and neutron cores with the model recently proposed by Ruffini et al. (2007) and we compare it with other $N_p$ versus $A$ relations: the empirical one, related to the Periodic Table, and the semi-empirical relation, obtained by minimizing the Weizs\"{a}cker mass formula. We find that there is a very good agreement between all the relations for values of $A$ typical of nuclei, with differences of the order of per cent. Our relation and the semi-empirical one are in agreement up to $A\sim 10^4$; for higher values, we find that the two relations differ. We interprete the different behaviour of our theoretical relation as a result of the penetration of electrons (initially confined in an external shell) inside the core, that becomes more and more important by increasing $A$; these effects are not taken into account in the semi-empirical mass-formula.