Jordan weak amenability and orthogonal forms on JB*-algebras

We prove the existence of a linear isometric correspondence between the Banach space of all symmetric orthogonal forms on a JB$^*$-algebra $\mathcal{J}$ and the Banach space of all purely Jordan generalized derivations from $\mathcal{J}$ into $\mathcal{J}^*$. We also establish the existence of a similar linear isometric correspondence between the Banach spaces of all anti-symmetric orthogonal forms on $\mathcal{J}$, and of all Lie Jordan derivations from $\mathcal{J}$ into $\mathcal{J}^*$

Conserved Quantities in f(R)f(R) Gravity via Noether Symmetry

This paper is devoted to investigate $f(R)$ gravity using Noether symmetry approach. For this purpose, we consider Friedmann Robertson-Walker (FRW) universe and spherically symmetric spacetimes. The Noether symmetry generators are evaluated for some specific choice of $f(R)$ models in the presence of gauge term. Further, we calculate the corresponding conserved quantities in each case. Moreover, the importance and stability criteria of these models are discussed.Comment: 14 pages, accepted for publication in Chin. Phys. Let

Scintillator ageing of the T2K near detectors from 2010 to 2021

The T2K experiment widely uses plastic scintillator as a target for neutrino interactions and an active medium for the measurement of charged particles produced in neutrino interactions at its near detector complex. Over 10 years of operation the measured light yield recorded by the scintillator based subsystems has been observed to degrade by 0.9-2.2% per year. Extrapolation of the degradation rate through to 2040 indicates the recorded light yield should remain above the lower threshold used by the current reconstruction algorithms for all subsystems. This will allow the near detectors to continue contributing to important physics measurements during the T2K-II and Hyper-Kamiokande eras. Additionally, work to disentangle the degradation of the plastic scintillator and wavelength shifting fibres shows that the reduction in light yield can be attributed to the ageing of the plastic scintillator. The long component of the attenuation length of the wavelength shifting fibres was observed to degrade by 1.3-5.4% per year, while the short component of the attenuation length did not show any conclusive degradation.Ministerio de Ciencia e Innovación SEV-2016-0588, PID2019-107564GB-I00, PGC2018-099388-BI00European Union 713673, 754496, RISE-GA822070-JENNIFER2 2020, RISE-GA872549-SK2HKJSPS KAKENHI (JP16H06288, JP18K03682, JP18H03701, JP18H05537, JP19J01119, JP19J22440, JP19J22258, JP20H00162, JP20H00149, JP20J2030

Formulation and in-vitro evaluation of topically applied curcumin hydrogel

The study aims to investigate a transdermal hydrogel formulation containing curcumin, which would attenuate the low bioavailability associated with oral administration of the drug. Carboxy polymethylene was used to develop topical hydrogel formulations of curcumin with different concentrations of penetration enhancers. Rheological properties, drug content, skin irritation, stability and in-vitro permeation studies were conducted. Permeation experiments were performed on silicon membrane and excised abdominal rabbit skin using Franz Diffusion Cell. All the prepared hydrogel formulations containing Curcumin showed good consistency, homogeneity, spreadability and has wider prospect for topical preparation. The formulation containing Curcumin (2 % w/w gel) and olive oil (2 % w/w, as enhancer) was found to have good permeation of the drug across artificial skin as well as rabbit skin. The anti-inflammatory activity of 2 % w/w Curcumin hydrogel in the rat hind paw edema model revealed that the drug was delivered to the inflammation site at a controlled rate over a desired period of about 3 h, using carboxy polymethylene as gel forming polymer and olive oil and tween 80 as penetration enhancers.Colegio de Farmacéuticos de la Provincia de Buenos Aire