In order to know more about some capital sigma resonances and distinguish various models of hadron structures, an analysis is performed for the reactions K super(-) n arrow right pi super(-) Lambda ...and K super(-) p arrow right pi super(0) Lambda , using an effective Lagrangian approach. The differential cross sections and Lambda polarizations from two experiments are analyzed with the c.m. energy between 1,550 and 1,676 MeV. Our study strongly support the existence of a J capital pi = {1\over 2} registered \Sigma} resonance with mass near 1,633 MeV and width about 120 MeV, which is compatible with the three-star {\Sigma(1660){1\over 2} registered } in PDG. Meanwhile, no evidence is found for the two-star {\Sigma(1620){1\over 2} approximately } listed in PDG.
The martensitic transformation in NiTi-based Shape Memory Alloys (SMAs) provides a basis for shape memory effect and superelasticity, thereby enabling applications requiring solid-state actuation and ...large recoverable shape changes upon mechanical load cycling. In order to tailor the transformation to a particular application, the compositional dependence of properties in NiTi-based SMAs, such as martensitic transformation temperatures and hysteresis, has been exploited. However, the compositional design space is large and complex, and experimental studies are expensive. In this work, we develop an interpretable piecewise linear regression model that predicts the λ2 parameter, a measure of compatibility between austenite and martensite phases, and an (indirect) factor that is well-correlated with martensitic transformation hysteresis, based on the chemical features derived from the alloy composition. The model is capable of predicting, for the first time, the type of martensitic transformation for a given alloy chemistry. The proposed model is validated by experimental data from the literature as well as in-house measurements. The results show that the model can effectively distinguish between B19 and B19′ regions for any given composition in NiTi-based SMAs and accurately estimate the λ2 parameter.
•Developed an interpretable model for phase compatibility in shape memory alloys from alloy composition.•Investigated key compositional features influencing phase compatibility.•Compiled lattice parameters and thermodynamic targets from literature, enhanced by 8 novel in-house experimental data points.
In this work, we use a specific parametrization of the hypergeometric approximants the one by Mera et al. in Phys. Rev. Let. 115, 143001 (2015) to approximate the seven-loop critical exponent ν for ...the O ( 2 ) -symmetric ϕ4 model. Our prediction gives the result ν = 0.6711 (7) which is compatible with the value ν = 0.6709 (1) from the famous experiment carried on the space shuttle Columbia. On the other hand, our result is also compatible with recent precise theoretical predictions that are excluding the experimental result. These theoretical results include nonperturbative renormalization group calculations ν = 0.6716 ( 6 ) , the most precise result from Monte Carlo simulations ν = 0.67169 (7) as well as the recent conformal bootstrap calculations ν = 0.67175 ( 10 ) . Although our result is compatible with experiment, the plot of the renormalization group result versus the number of loops suggests that higher orders are expected to add significantly to the accuracy and precision of the ν exponent in a way that may favor the theoretical predictions.
Is incentive compatibility still necessary for implementation if we relax the rational expectations assumption? This paper proposes a generalized model of implementation that does not assume agents ...hold rational expectations and characterizes the class of solution concepts requiring Bayesian Incentive Compatibility (BIC) for full implementation. Surprisingly, for a broad class of solution concepts, full implementation of functions still requires BIC even if rational expectations do not hold. This finding implies that some classical results, such as the impossibility of efficient bilateral trade (Myerson & Satterthwaite, 1983), hold for a broader range of non-equilibrium solution concepts, confirming their relevance even in boundedly rational setups.
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