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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:ced2862e28b6da072a8a3e26efc3e44712d4ce0118ffb609847f53a2c9c6d14f"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 14: Particle Physics"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.1, Page 522"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "e = 1.6e-019; # Energy equivalent of 1 eV, J\n",
+ "h = 6.62e-034; # Planck's constant, Js\n",
+ "c = 3.00e+008; # Speed of light in vacuum, m/s\n",
+ "h_bar = h/(2*math.pi); # Reduced Planck's constant, Js\n",
+ "R_N = 1e-015; # Range of nuclear force, m\n",
+ "\n",
+ "#Calculations\n",
+ "# As delta_E*delta_t = h_bar/2 and delta_E = m_pion*c^2, solving for m_pion\n",
+ "m_pion = h_bar*c/(2*R_N*e*1e+006); # Mass of the meson, MeV/c^2\n",
+ "\n",
+ "#Result\n",
+ "print \"The estimated mass of meson from Heisenberg uncertainty principle = %.2f MeV/c^2\"%(m_pion)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The estimated mass of meson from Heisenberg uncertainty principle = 98.78 MeV/c^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.2, Page 526"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "e = 1.6e-019; # Energy equivalent of 1 eV, J\n",
+ "h = 6.62e-034; # Planck's constant, Js\n",
+ "c = 3.00e+008; # For simplicity assume speed of light to be unity\n",
+ "h_bar = h/(2*math.pi); # Reduced Planck's constant, Js\n",
+ "m_W = 80.4; # Energy equivalent of mass of W- particle, MeV\n",
+ "\n",
+ "#Calculations\n",
+ "R_W = h_bar*c/(2*m_W*e*1e+009); # Range of W- particle, m\n",
+ "delta_t = h_bar/(2*m_W*e*1e+009); # Time during which the energy conservation is violated, s\n",
+ "\n",
+ "#Results\n",
+ "print \"The range of W- particle = %3.1e m\"%R_W\n",
+ "print \"The time during which the energy conservation is violated = %1.0e s\"%delta_t"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The range of W- particle = 1.2e-18 m\n",
+ "The time during which the energy conservation is violated = 4e-27 s\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.10, Page 548"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "m_p = 0.938; # Rest mass energy of the proton, GeV\n",
+ "K = 6.4; # Kinetic energy of the proton projectile, GeV\n",
+ "\n",
+ "#Calculations\n",
+ "E_cm = math.sqrt(2*m_p**2+2*m_p*K); # Centre of mass energy of proton collsion with the fixed proton target, GeV\n",
+ "Q = 2*m_p - 4*m_p; # Q value of the reaction, GeV\n",
+ "K_th = -3*Q; # Threshold kinetic energy required to produce the antiprotons, GeV\n",
+ "K = 1000; # Kinetic energy of the protons in Tevatron, GeV\n",
+ "E_cm_T = math.sqrt(2*m_p**2+2*m_p*K); # Centre-of-mass energy available for the reaction for the Tevatron, GeV\n",
+ "\n",
+ "#Results\n",
+ "print \"The available energy in the center on mass = %4.2f GeV\"%E_cm\n",
+ "print \"The threshold kinetic energy required to produce the antiprotons = %3.1f GeV\"%K_th\n",
+ "print \"The centre-of-mass energy available for the reaction for the Tevatron = %d GeV\"%E_cm_T"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The available energy in the center on mass = 3.71 GeV\n",
+ "The threshold kinetic energy required to produce the antiprotons = 5.6 GeV\n",
+ "The centre-of-mass energy available for the reaction for the Tevatron = 43 GeV\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.11, Page 550"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "m_p = 0.938; # Rest mass energy of the proton, GeV\n",
+ "E_cm = 14000; # Centre of mass energy of colliding proton beams at LHC, GeV\n",
+ "\n",
+ "#Calculations\n",
+ "# As E_cm = math.sqrt(2*m_p**2+2*m_p*K), solving for K\n",
+ "K = E_cm**2*1e+009/(2*m_p); # Approx. kinetic energy of the protons needed for fixed-target experiment, eV \n",
+ "\n",
+ "#Result\n",
+ "print \"The kinetic energy of the protons needed for fixed-target experiment = %3.1e eV\"%K"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The kinetic energy of the protons needed for fixed-target experiment = 1.0e+17 eV\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file