University Physics V · Conservation Laws and Particle Reactions · 19.08
Worked example: auditing n → p + e- + antineutrino-e
Q = mₙ - mₚ - mₑ = 0.782 MeV, and every ledger balances: charge 0 → 0, B 1 → 1, Lₑ 0 → (+1) + (−1) = 0, and three spin-1/2 products which, coupling in the L = 0 s-wave, reach total 1/2 as well as 3/2.
Course-map guide · not a complete lesson or simulationScope & orientation
What this subsection covers
Q = mₙ - mₚ - mₑ = 0.782 MeV, and every ledger balances: charge 0 → 0, B 1 → 1, Lₑ 0 → (+1) + (−1) = 0, and three spin-1/2 products which, coupling in the L = 0 s-wave, reach total 1/2 as well as 3/2.A strong response uses feynman diagrams with labelled vertices and states where the model stops being reliable.
Reasoning checklist
Evidence, assumptions and limits
Assumptions to state
State the system, observable, approximation, and conditions held fixed before using a model.
Evidence to collect
What endpoint energy does a calibrated spectrum from a sealed beta source support, and how much energy per decay is unaccounted for if nothing but an electron leaves?
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What endpoint energy does a calibrated spectrum from a sealed beta source support, and how much energy per decay is unaccounted for if nothing but an electron leaves? Useful evidence includes an energy calibration from a conversion-electron line such as Bi-207 or Cs-137, a background-subtracted spectrum, a Kurie fit with an interval on the endpoint compared with the tabulated Q value, and detector resolution and backscatter named as the limit that blocks any neutrino-mass claim.
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.
Model, evidence, and boundary
What must be stated before selecting an equation for Worked example: auditing n → p + e- + antineutrino-e?
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.
What must be stated before selecting an equation for Worked example: auditing n → p + e- + antineutrino-e?
Quick check
Test the reasoning, not recall
What must be stated before selecting an equation for Worked example: auditing n → p + e- + antineutrino-e?
Choose an answer to test the model.