Chapter 12: Q41E (page 557)
Sketch the Feynman diagram if the proposed decay is possible.
Short Answer
The proposed decay is not possible
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Chapter 12: Q41E (page 557)
Sketch the Feynman diagram if the proposed decay is possible.
The proposed decay is not possible
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Sketch the Feynman diagram if the proposed decay is possible.
If a neutrino interacted with a quark every time their separation was within the range generally accepted for the weak force, then the cross-section of a neutron or proton 鈥渟een鈥 by a neutrino would be on the order of . Even at such separation, however the probability of interactions is quite small. The nucleon appears to have an effective cross-section of only about .
(a) About how many nucleons are there in a column through the earth鈥檚 center of 1 m2 cross-sectional area?
(b) what is the probability that a given neutrino passing through space and encountering earth will actually 鈥渉it鈥?
Symmetries are compelling in physics. The properties of the particles in Table 12.2 show Some interesting ones. (a) Make a two-dimensional plot, with strangeness along the vertical axis and the third component of isospin on the horizontal. Add Spots representingthe and the nine other baryons below it in Table 12.2. (b) Are properties other than strangeness and correlated?
Exercise 23 discusses the threshold energy for two particles of mass m in a colliding beam accelerator to produce a final stationary mass M. If the accelerator is instead a stationary target type, more initial kinetic energy is needed to produce the same final mass. Show the threshold energy is .
In non-relavistic quantum mechanics, governed by the Schrodinger equation, the probability of finding a particle does not change with time.
(a)
Prove it, Begin with the time derivative of the total probability
Then use the Schrodinger equation to eliminate the partial time derivatives, integrate by parts, and show that the result is zero. Assume that the particle is well localised, so that are 0 when evaluated at .
(b) Does this procedure lead to the same conclusion if Wave function obeyKlein-Gordon rather than Shrodinger equation? Why and why not?
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