Abstract: The y decay of the elusive narrow, near-threshold proton resonance in 11 B was investigated at Laboratori Nazionali di Legnaro (INFN) in a particle-y coincidence experiment, using the 6 Li( 6 Li,py) fusion-evaporation reaction and the GALILEO-GALTRACE setup. No clear signature was found for a possible E1 decay to the 1/2-1, – 1 , first-excited state of 11 B, predicted by the Shell Model Embedded in the Continuum (SMEC) with a branching of 0.98+167 +167 -69 x 10-3 -3 with respect to the dominant particle-decaying modes. The statistical analysis of the y-ray spectrum provided an average upper limit of 2.37 x 10-3 -3 for this y-ray branching, with a global significance of 5 sigma. On the other hand, by imposing a global confidence level of 3 sigma, a significant excess of counts was observed for Ey y = 9300(20) keV, corresponding to a resonance energy of 11429(20) keV (namely 200(20) keV above the proton separation energy of 11 B) and a y-ray branching of 1.12(35) x10-3. -3 . This result is compatible with the SMEC calculations, potentially supporting the existence of a near-threshold proton resonance in 11 B.

Abstract: This work investigates the classical and quantum duality between the SIM (1)-Maxwell-Chern-Simons (MCS) model and its self -dual counterpart. Initially, we focus on free -field cases to establish equivalence through two distinct approaches: comparing the equations of motion and utilizing the master Lagrangian method. In both instances, the classical correspondence between the self -dual and MCS dual fields undergoes modifications due to very special relativity (VSR). Specifically, the duality is established when the associated VSR-mass parameters are identical, and the dual field is introduced through a non -local VSR correction. Furthermore, we analyze the duality when the self -dual model is minimally coupled to fermions. As a result, we demonstrate that Thirring-like interactions, corrected for non -local VSR contributions, are included in the MCS model. Additionally, we establish the quantum equivalence of the models by performing a functional integration of the fields and comparing the resulting effective Lagrangians.

Abstract: This Letter presents the measurement of the fiducial and differential cross-sections of the electroweak production of a Z gamma pair in association with two jets. The analysis uses 140 fb(-1)of LHC proton-proton collision data taken at root s=13 TeV recorded by the ATLAS detector during the years 2015-2018. Events with a Zboson candidate decaying into either an e(+) e(-) or mu(+) mu(-) pair, a photon and two jets are selected. The electroweak component is extracted by requiring a large dijet invariant mass and by using the information about the centrality of the system and is measured with an observed and expected significance well above five standard deviations. The fiducial pp -> Z gamma jj cross-section for the electroweak production is measured to be 3.6 +/- 0.5fb. The total fiducial cross-section that also includes contributions where the jets arise from strong interactions is measured to be 16.8(-1.8)(+2.0) fb. The results are consistent with the Standard Model predictions. Differential cross-sections are also measured using the same events and are compared with parton-shower Monte Carlo simulations. Good agreement is observed between data and predictions.