(a) Compute the Clebsch-Gordan coefficients for the states with JJi + J2, M = m1 + m2, where jifor the various possible m1 and m2 values.(b) Consider the reactions:1 and j2 = 1/2, and j = 3/2, M = 1/2%3|n*p + n*p(i)(ii)(iii)These reactions, which conserve isospin, can occur in the isospin I = 3/2state (A resonance ) or the Iratios of these cross-sections, ơ¡ : Oii : ơiii, for an encrgy corresponding to1/2 state (N* resonance). Calculate thea A resonance and an N* resonance respectivcly. At a resonance energyyou can neglect the effect due to the other isospin states. Note that thepion is an isospin I= 1 state and the nucleo1n an isospin I = 1/2 state.

Answered: Image /qna-images/answer/7d6c421d-1361-4b2d-8684-76bb090235f4.jpg

Answered: (a) Compute the Clebsch-Gordan…

Similar questions

This is the graph of function h. 2 T -2 Y 1 2 3 4 →x What is the graph of its derivative, h'?
How to solve this question
(3) Let us assume that there are four distinguishable particles (A, B, C and D) and they occupy five energy levels, namely, 0J, 1J, 2J, 3J and 4J and coefficient refers to each of that level. For example, particle occupy OJ will have zero joules, if 2 particles occupy 1J, each particle has 1J unit energy. There is no restriction of occupancy of number of paricles in any energy levels. Total energy is 4 unit. Determine the total number of distributions that will give a total energy of 4J and show their arrangements as a figure (4) Show that the chemical potential from Aink and from Gink for an ideal gas is the same. (5) Derive the Maxwell-Boltzmann distribution law for distinguishable particles and no limitation for the occupation can be shown as; A, KT Hint: Use the same mathematical steps as Bose-Einstein and Fermi-Dirac statistical methods. Let the total number of ways of distribution of N species in groups of N, at A, levels is: Q = N!II- * N,! (6) Using the Maxwell-Boltzmann…
One-dimensional harmonic oscillators in equilibrium with a heat bath (a) Calculate the specific heat of the one-dimensional harmonic oscillator as a function of temperature (b) Plot the T -dependence of the mean energy per particle E/N and the specific heat c. Show that E/N → kT at high temperatures for which kT > hw In this limit the energy kT is large in comparison to hw , the separation between energy levels. Hint: expand the exponential function 1 ē = ħw + eBhw
Model the effective potential seen by the least bound proton in the nucleus as a square well with depth Bn inside the nuclear radius R, plus a repulsive Coulomb potential from a uniform charge distribution of the other protons inside the nucleus. Estimate Br for 209 Bi (mass number A = 209 and atomic number Z = 83), the largest stable isotope. How is Bn related to the depth of the nuclear potential Vo? Hint: The electrostatic potential a distance r from the center of a uniformly charged sphere of radius R and total charge Q is given by: for r < R. Q V = (3R² — r²) 8πTEOR³