The d meson, a combination of a charm quark and up anti-quark (cu), can decay to k-mesons and pi-mesons in several different channels. three possibilities are where a k+ meson is composed of us, a k-meson is composed of us, a π+ posed of ud, and a π (a) draw the leading order feynman diagrams for each of the above decays. [10 points] (b) based on the quark flavors present in the initial state and the final state, rank these decay channels from highest branching fraction to lowest branching fraction. explain your answer. [5 points] (c) in a general two-body decay, particle a, at rest, decays into particles b and c (a→b+c). find the energy and the magnitude of the momentum of particles b and c. express your answer in terms of the particle masses (ma, mg, and mc and the speed of light (c) [25 points]

what is the speed of a softball that travels 20m in 2secs

speed = 20/2 = 10 m/s

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bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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