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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 paper, the authors considered the decay of the lowest-lying positive parity 56-plet and negative parity bf 70-plet excited baryons, and showed that the two-quark operators are not phenomenologically important.
Abstract: We consider decays of the lowest-lying positive parity 56-plet and negative parity bf 70-plet excited baryons. For the 70-plet, we include both single-quark and two-quark decay operators, and find, somewhat mysteriously, that the two-quark operators are not phenomenologically important. Studies of decays 70-plet to Delta(1232) + photon may strengthen or vitiate this observation. For the 56-plet decays, now using only the single-quark operator, we can predict many strong decays after fitting parameters on the assumption that the Roper is a 3q state. Comparison of these predictions to experiment can verify the structure of the 56-plet. As a sidelight, we show a large N_c derivation of the old Gursey-Radicati mass formula.
TL;DR: In this article, the authors consider the case where the Gell-Mann-Okubo (G~O) mass formula is well satisfied for tile ground states of the octet and the decuplet trajectories.
Abstract: The hypothesis that the dominant par t of the hadron Regge-trajectory function is linear in (mass) 2 has recently been used very popularly in many theoretical works. On lhe other hand, the Gell-Mann-Okubo (G~O) mass formula (~) is well satisfied for tile ground states of the octet and the decuplet trajectories. I t will be a natural expectation that the same symmetry breaking scheme, thus GMO mass formula, is valid for all higher excited states. But by the incompleteness of the experimental mass data, this hypothesis is not yet confirmed. For the mesons the above two hypotheses are trivially compatible and one of the solutions is a universali ty of the slopes. The compatibility, however, offers new problem for baryons, because the mass formlfla is now linear in mass but the t rajectory is quadratic. Experimental ly, the slopes of the baryon trajectories are different from each other. In this note we discuss the consequence of the compatibili ty of the two hypotheses for the baryon case together with the experimental situation. First of all we consider the very extreme case where the GMO formula is regorously satisfied for all physical points on the linear baryon trajectories; for the octet baryons (i)
TL;DR: In this paper , the co-efficients of most efficient mass formulae from Royer et al. have been re-optimized for 2451 selected nuclei from AME-2020 data.
Abstract: Background: The macro-microscopic model has been succesful in nuclear mass predictionsand in obtaining various other properties of nuclear and nucleon matter. The present statusof generalised liquid drop model (GLDM) has been based on atomic mass evaluation (AME)-2003 data.Purpose: In this work, the co-efficients of most efficient mass formulae from Royer et.al.,have been re-optimised for 2451 selected nuclei from AME-2020 data.Methods: The root mean squared deviation (RMS) is minimized to optimize seven modelparameters that correspond to various terms in the nuclear binding energy that come inpowers of mass number A and square of relative neutron excess I = N −Z/A .Results: The RMS between the theoretical and experimental binding energies has beenobtained as 0.65 using both the formulae.Conclusions: The best possible formula for nuclear binding energy has been obtained usingAME-2020 data and it needs to be seen how this would effect the various nuclear propertiesand predictions.
01 Mar 2023
TL;DR: In this article , the authors use the counterterms subtraction method to study the thermodynamics of charged rotating black holes in five-dimensional minimal gauged supergravity, and show that the mass and volume calculated via the counter terms method satisfies the first law of black hole thermodynamics.
Abstract: We use the counterterms subtraction method to study the thermodynamics of charged rotating black holes in five-dimensional minimal gauged supergravity [1]. Specifically, we analyze certain issues related to the first law and Smarr's relation in the presence of a conformal anomaly. Among the bulk quantities calculated are the on-shell action, total mass, and angular momenta of the solution. All these quantities are consistent with previous calculations made using other methods. For the boundary theory, we calculate the renormalized stress tensor, conformal anomaly, and Casimir energy. Using the Papadimitriou-Skenderis analysis [2], we show that the mass calculated via the counterterms method satisfies the first law of black hole thermodynamics. To discuss extended thermodynamics, we extend the definition of the thermodynamic volume to cases with conformal anomalies using a procedure similar to that of Papadimitriou-Skenderis. We show that this volume correctly accounts for extra terms due to boundary metric variation. This shows that the mass and volume calculated using counterterms satisfy Smarr's relation as well as the first law.
TL;DR: In this article, a model of multiphase reactive boundary layer flow induced by a shock is presented, where the mass equation can be split into the extrinsic mass equation and intrinsic mass equation.
Abstract: A model of multiphase reactive boundary layer flow induced by a shock is presented. Because of the particle reaction in the boundary layer, the source terms are involved in the governing equations. The mass split technique is developed to deal with the problem. Based on the view of mass conservation, the concepts of extrinsic gas density and intrinsic gas density are defined and the mass equation can be split into the extrinsic mass equation and intrinsic mass equation. According to the intrinsic mass equation, a stream function can be introduced so that the similarity transformation can be implemented. By the above split technique, an extrinsic equation is added to the sets of equations, and solving the equations becomes possible. The BOX method is employed to solve the gas phase equations. The particle phase equations are solved by the fourth-order Runge–Kutta method. In order to give a coupling of the gas phase and the solid phase equations, the particle-source-in-cell (PSIC) method is modified to matc...