How many degrees of freedom do you have

Assignment Help Mathematics

Reference no: EM13975374

1. Consider the process ab → 123. The three-body Lorenz-invariant phase-space for can be written as

(2Π)⁴ ∫d⁴p₁/(2Π)³, d⁴p₂/(2Π)³ d⁴p₃/(2Π)³ δ⁽⁴⁾ (p_a+ p_b - p₁ - p₂ - p₃) δ(p₁² - m₂²) δ(p₂² - m₂²) δ(p₃² - m₃²).

(a) If you fix the initial-state kinematics, how many degrees of freedom do you have? I.e. how many final-state integrals are left unconstraint?

(b) Show that the above expression for the phase-space is equivalent to the one written in terms of three-momentum integrals

Reference no: EM13975374

Questions Cloud

Probability that a randomly selected package : a. What is the probability that a randomly selected package of this cheese will actually contain at least 20.5 ounces? b. What is the probability that a randomly selected package of this cheese will actually contain between 20.5 and 21..

What is the most interesting thing you read in the article : 1. What is the most interesting thing you read in the article? 2. What are two ways brick-and-mortar commerce differ from e-commerce?

Discuss your experiences with quantitative analysis : Discuss your experiences with quantitative analysis. Are you one of those who have a distrust of quantitative analysis?

Area before the next defect occurs : The company presi- dent is accompanying overseas visitors on a tour of the plant, and they have just arrived at the aluminum-sheet machine. If they remain at the machine long enough to observe 32 feet of aluminum being produced, what is the prob..

How many degrees of freedom do you have : How many degrees of freedom do you have and show that the above expression for the phase-space is equivalent to the one written in terms of three-momentum integrals

Graders in unorganized activities : On the average, how many student-days elapse between injuries to fourth to sixth graders in unorganized activities at school, and what is the probability that the next such injury will occur before 45 thousand student-days have passed?

How do you control concurrency in the agile process : All modern programming languages implement the structured programming constructs, Provide examples from three programming languages that show structured programming constructs

Duration of the dinner event : Assuming that Hargrove students are typical in terms of susceptibility to allergies and that the college president's home happens to contain just about every common allergen to which afflicted persons react, what is the probability that at least 8..

Determine the estimated loss if the quality characteristic : Determine the estimated loss if the quality characteristic under study takes on a value of 6.20 inches and 10 parts are produced.

User Account

All Pages