PHY431 Lecture 10
16
4/30/2000
11.5.2
The Real Pion: the Pion Form Factor
The real pion is built from quarks, and therefore will not have a simple point-like electromagnetic interaction as represented by the Feynman graph and the transition elem
PHY431 Lecture 8
1
4/30/2000
11.
Gauge Theories
All true present-day theories are based on local gauge (or phase) invariance, i.e. the phase of the wavefunctions can be varied according to an almost arbitrary space-time dependent function, and t
PHY431 Lecture 9
8
4/30/2000
11.4 The Complex Scalar Field
A complex scalar field can be likened to a simultaneous description of two real scalar fields describing particles of precisely the same mass m. We will consider the symmetry that exists i
PHY431 Lecture 11
26
5/1/2000
14.
Symmetries of the Standard Model: U(1), SU(2), SU(3)
We've now constructed a powerful toolset: we know how to describe free elementary particles: bosons using the Klein-Gordon Lagrangian; and fermions using the
PHY431 Lecture 2
1
2/6/2000
2. Measuring the Nuclear Charge Distribution
The nuclear charge distribution tells us where in the nucleus the protons live, at least on average. The density of protons gives us information about the strong force. Sever
PHY431 Lecture 3
1
2/11/2000
5.1. The Measured Nuclear Binding Energy
The binding energy per nucleon, derived from the measurement of the atomic masses, is shown as function of the atomic number A in the figure. Binding energy per Clearly, for ato
PHY431 Lecture 4
1
2/27/2000
That pion exchange between nucleons is able to describe only the longer distance behavior of the force, and not the short-distance repulsion, nor the transition region to attraction, is highlighted in the article by Ph
PHY431 Lecture 5
1
3/5/2000
8. Symmetries and Conservation Laws
Symmetries and the conservation laws that follow from them are important tools to constrain the possible forms that the Hamiltonian (or Lagrangian) of a system can take. For example,
PHY431 Lecture 6
1
3/24/2000
8.8. Parity Conservation and Non-Conservation
The Parity operation, or spatial inversion, is an example of a discrete transformation. As shown before, such operators, when applied twice, return the original situation:
PHY431 Lecture 7
15
3/24/2000
8.10.1. The Experiment by C.S. Wu et al.
An elegant experiment was devised by C.S. Wu and collaborators from the National Bureau of Standards, following the suggestion in Lee and Yang's article to use polarized 60Co:
phy431_s00_hw09
PHY431 Homework Set 9
Reading: Lecture Notes Due date: Wednesday May 3
Homework: See below:
Hints and Solutions
Problem IX.1 Show that the SU(2) group of continuous operators exp{i(x)}: . is unitary b. has determinant 1 Hints: see
phy431_s00_hw08
PHY431 Homework Set 8
Reading: Lecture Notes Due date: Wednesday April 26
Homework: See below:
Hints and Solutions
Problem VIII.1 Find the expression for the "Dirac Potential" VD in the Dirac equation i/t = (-i + m + VD) by using
PHY431 Midterm Spring 2000
1
5/2/2000
Short-Answer Questions
1. Define alpha, beta, and gamma radiation. For each type, write down an example of a reaction in which such radiation is emitted. alpha radiation: emission of strongly bound 2p-2n clust
phy431_s99_M1
PHY431 Midterm Assignment
Assignments
Problem 1 The Nuclear Size The binding energies of the nuclei 11B and 11C are 76.205 and 73.443 MeV respectively. Assume that this difference is entirely due to Coulomb effects, and that the proto
phy431_s00_hw01
PHY431 Homework Set 1
Reading: Lecture Notes Due date: Monday Jan 23
Homework: See below
Problems, Hints and Solutions
Problem I.1 Special Relativity Muons are produced in upper atmosphere air showers initiated by high-energy cosmi
phy431_s99_hw02
PHY431 Homework Set 2
Reading: Lecture Notes Set 1 Due date: Monday Jan 31
Homework: See below
Hints and Solutions
Problem II.1 . Derive a formula for the minimum kinetic energy K that is necessary for alpha's to just start 'touchi
phy431_s99_hw03
PHY431 Homework Set 3
Reading: Lecture Notes Due date: Wednesday Feb 9
Homework: See below:
Hints and Solutions
Problem III.1 Calculate the form factor squared |F(q)| as function of q and as function of scattering angle for 400 Me
phy431_s99_hw04
PHY431 Homework Set 4
Reading: Lecture Notes Due date: Wednesday Feb 16
Homework: See below:
Hints and Solutions
Problem IV.1 Explain why the 48Ni nucleus is worth searching for. Why is it expected to be stable enough for observati
phy431_s99_hw05
PHY431 Homework Set 5
Reading: Lecture Notes Due date: Wednesday March 1
Homework: See below:
Hints and Solutions
Problem V.1 Show that the Angular Momentum Barrier "potential" L/2I = l(l+1)h/2mr for the radioactive decay:
209 P 9
phy431_s99_hw06
PHY431 Homework Set 6
Reading: Lecture Notes Due date: Wednesday March 8
Homework: See below:
Hints and Solutions
Problem VI.1 Using the isospin-lowering operator I-, and starting at the "fully stretched" state + = |uuu, derive the
phy431_s99_hw07
PHY431 Homework Set 7
Reading: Lecture Notes Due date: Wednesday April 19
Homework: See below:
Hints and Solutions
Problem VII.1 Show that a mass term of the form mAA does break the usual gauge invariance of the electromagnetic fie
PHY 431
Nuclear and Particle Physics
Spring 2000
News and Announcements: (May 19, 10:00am) Final Grades are on the web, see below. Have a well deserved vacation!
PHY431 presents an overview of the physics of nuclei and elementary particles at the