+1-415-315-9853

info@mywordsolution.com

 Algebra Math Calculus Physics Chemistry Biology Earth Science Physiology History Humanities English Sociology Nursing Science

problem 1: Tides of solid ground and beam energy stability

a) Tidal forces (mostly gravity of moon and sun) create tides in the ocean but also deform the ‘solid’ earth. Establish a formula relating the beam energy change (assuming ultra-relativistic beam, i.e. ΔE/E = Δp/p) to a local change in the ground elevation (i.e. local change in earth radius).

b) find out by how much the beam energy of the ALS shifts assuming an average tidal elevation change of solid ground of about 25 cm (it really is that large!), an ALS beam energy of 1.9 GeV, an ALS circumference of 196.8 m and an ALS momentum compaction factor of 0.0008.

c) Compare this to the largest collider, LEP (predecessor of LHC) at CERN in Geneva, Switzerland. Its circumference is 27 km and the momentum compaction factor was roughly 0.0001. What is the energy change due to tides in that case? Does it scale with the circumference? Why/Why not?

d) Find the precision with which the Z0 mass and width was measured at LEP and compare to the effect of tides in c above. Conclusions?

problem 2: In designing a single turn, single kicker injection system, we have the choice of locating our kicker at two different positions, let us call those locations A and B. For location A, the betatron phase advance µ from the septum position is the usually optimal π/2 and the horizontal beta function at the septum is 4m. For B, µ is (5* π)/8, and βs is 8m. The beta function at the kicker βk is the same as the one at the septum in both cases.

a) Where would you place the kicker in order to minimize the necessary kick angle θ and therefore the required kicker magnet strength – location A or B? Why?

b) If the required beam stay clear at the septum imposes a distance between the injected beam trajectory and the closed orbit of xS=2 cm, what is the required kicker strength θ to completely remove any remaining angle after passing the kicker (i.e. to put the injected beam onto the closed orbit)?

Assume the beta function at the septum and the kicker is 5 m and the phase advance is π/2 for this case.

c) Based on the dependence of the size and divergence of the beam on the lattice functions:

σ = √βε  with β the beta function and ε the (invariant) emittance

σ' = √γε  with γ = (1+α2)/β, α' = −β/2

describe qualitatively why placing an injection kicker at a location with high beta function (and correspondingly small alpha function) reduces the required kicker strength.

d) Similarly, give your qualitative explanation, why placing a septum magnet with a septum sheet of a given, finite thickness at a location with high beta function is advantageous.

• Category:- Physics
• Reference No.:- M93895

Have any Question?

## Related Questions in Physics

### Wastewater containing solute a at a concentration of 10

Wastewater containing solute A at a concentration of 1:0 × 10 -3  g mol=m 3  enters an open tank at a volumetric flow rate of 0:2 m 3 /min, and exits at the same rate. Solute A transfers from the wastewater in the open t ...

### The demand function for a certain product q dp is linear

The demand function for a certain product, q = D(p), is linear, where p is the price per item in dollars and q is the quantity demanded. If p increases by \$5, market research shows that q drops by two items. In addition, ...

### 1 what makes event structure analysis a systematic method2

1.) What makes event structure analysis a systematic method? 2.) How and why did evaluation research develop? How does it differ from other types of social science research? 3.) What is the difference between stakeholder ...

### 1 how many gy of exposure is needed to give a cancerous

1. How many Gy of exposure is needed to give a cancerous tumor a dose of 40 Sv if it is exposed to α activity? 2. What is the dose in Sv in a cancer treatment that exposes the patient to 200 Gy of γ rays?

### Let ft and gt give respectively the amount of water in

Let f(t) and g(t) give, respectively, the amount of water (in acre-feet) in two different reservoirs on day t. Suppose that f(0) = 2000, g(0) = 1500 and that f'(0) = 11, g'(0) = 13.5. Let h(t) = f(t) - g(t). (a) Evaluate ...

### Give the basic physics reason of at least three errors in

Give the basic physics reason of at least three errors in each of the two bond diagrams of shallow acceptor and donor in semiconductors shown below. These errors are frequently found in freshman chemistry, sophomore phys ...

### The three cardsa one card is white on both faces one is

The three cards (a) One card is white on both faces; one is black on both faces; and one is white on one side and black on the other. The three cards are shuffled and their orientations randomized. One card is drawn and ...

### A particle moves at varying velocity along a line and s ft

A particle moves at varying velocity along a line and s = f(t) represents the particle's distance from a point as a function of time, t. Sketch a possible graph for f if the average velocity of the particle between t = 2 ...

### Several thin sheets of naphthalene 025 cm thick and 10 cm

Several thin sheets of naphthalene, 0.25 cm thick and 10 cm square, are arranged parallel to each other with their centers at 1-cm intervals. Air at 273 K and 1:013 × 10 5  Pa enters this sandwich arrangement with a bulk ...

### For large integers k and n what fraction of all binary

For large integers K and N, what fraction of all binary error correcting codes of length N and rate R = K/N are linear codes? [The answer will depend on whether you choose to define the code to be an ordered list of 2 K ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

### Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

### Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

### Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

### Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro