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University Physics V

University Physics V · Elementary Particle Physics · 17.08

Particle decay: widths, phase space, and the interaction hierarchy

Gamma from the golden rule with Lorentz-invariant phase space, branching ratios as partial-width fractions, and the Breit-Wigner as the Fourier transform of an exponentially decaying amplitude, so Gamma τ = ℏ.

Course-map guide · not a complete lesson or simulation

Scope & orientation

What this subsection covers

Gamma from the golden rule with Lorentz-invariant phase space, branching ratios as partial-width fractions, and the Breit-Wigner as the Fourier transform of an exponentially decaying amplitude, so Gamma τ = ℏ.

A strong response uses oscillation probability against l over e and states where the model stops being reliable.

Reasoning checklist

Evidence, assumptions and limits

01

Assumptions to state

State the system, observable, approximation, and conditions held fixed before using a model.

02

Evidence to collect

What mean lifetime does the delayed-coincidence time distribution support, and how much does negative-muon capture in the scintillator bias it downward?

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What mean lifetime does the delayed-coincidence time distribution support, and how much does negative-muon capture in the scintillator bias it downward? Useful evidence includes decay-time histogram, a maximum-likelihood exponential fit with an accidental background, the fitted lifetime against 2.197 microseconds, and the μ-minus capture correction that makes the raw fit a mixture of two rates.

03

Limits to state

This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus.

Read the complete note

This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus. It is written for a four-credit course of roughly three lecture hours plus two to three laboratory or computational hours a week across fifteen weeks, and it is deliberately more mathematical than University Physics I–IV: linear algebra and differential equations are working tools here, not background. Twenty units are mapped against a suggested fifteen-week delivery, so several units share a teaching week. Departments differ widely in how much formalism they expect at this stage; follow your institution's published scope, notation, laboratory programme, and assessment rules. A result should be checked against units, signs, limiting cases, and the conditions under which its model was derived.

Diagram & examples

Work the claim before choosing an equation

Interactive concept map

Follow the model from claim to evidence.

01 · Physical claimParticle decay: widths, phase space, and the interaction hierarchy

Gamma from the golden rule with Lorentz-invariant phase space, branching ratios as partial-width fractions, and the Breit-Wigner as the Fourier transform of an exponentially decaying amplitude, so Gamma τ = ℏ.

Read the complete note

Gamma from the golden rule with Lorentz-invariant phase space, branching ratios as partial-width fractions, and the Breit-Wigner as the Fourier transform of an exponentially decaying amplitude, so Gamma τ = ℏ. Lifetimes of order 10⁻²³, 10⁻¹⁶ and 10⁻¹³ s or longer separate strong, electromagnetic and weak decays, and only the weak one violates strangeness, parity and C.

02 · RepresentationThe subsection's claim

Model, evidence, and boundary

03 · TestPrediction before measurement

When should a model used for Particle decay: widths, phase space, and the interaction hierarchy be revised?

04 · Evidence & boundaryDecide, then qualify

What mean lifetime does the delayed-coincidence time distribution support, and how much does negative-muon capture in the scintillator bias it downward?

Read the complete note

What mean lifetime does the delayed-coincidence time distribution support, and how much does negative-muon capture in the scintillator bias it downward? Useful evidence includes decay-time histogram, a maximum-likelihood exponential fit with an accidental background, the fitted lifetime against 2.197 microseconds, and the μ-minus capture correction that makes the raw fit a mixture of two rates.

Interactive diagram for Particle decay: widths, phase space, and the interaction hierarchy: follow the physical claim through its representation, proposed test, evidence, and model boundary.

modelModel, evidence, and boundary turns the stated idea into a representation that can make a prediction.

Example questions

Try the reasoning before revealing the structure.

Diagram check

When should a model used for Particle decay: widths, phase space, and the interaction hierarchy be revised?

Quick check

Test the reasoning, not recall

When should a model used for Particle decay: widths, phase space, and the interaction hierarchy be revised?

Choose an answer to test the model.