Meson form factors in the quark-based linear σ model

The quark-level linear σ model (LσM) is employed to compute a variety of electromagnetic and weak observables of light mesons, including pion and kaon form factors and charge radii, charged-pion polarizabilities, semileptonic weak Kℓ3 decay, semileptonic weak radiative pion and kaon form factors, radiative decays of vector mesons, and nonleptonic weak K2π decay. The agreement of all these predicted observables with experiment is striking. In passing, the tight link between the LσM and vector-meson dominance is shown. Some conclusions are drawn on the LσM in connection with lattice and renormalization-group approaches to QCD.
Primjenjujemo linearni σ model (LσM) na kvarkovskoj razini za računanje niza elektromagnetskih i slabih veličina za lake mezone, kao što su pionski i kaonski faktori oblika i nabojski polumjeri, polarizivost nabijenih piona, poluleptonski slab Kℓ3 raspad, poluleptonski slabi radijativni pionski i kaonski faktori oblika, radijativni raspadi vektorskih mezona i neleptonski slabi raspadi K2π. Slaganje svih predviđanja s ishodima mjerenja je izvanredno. Usput, pokazujemo blisku vezu LσM sa prevladavanjem vektorskih mezona. Izvodima neke zaključke o LσM u odnosu na pristupe QCDu s rešetkama i renormalizacijskom grupom.