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Theta-tau paradox ~ 1947-1953

Very close masses and lifetimes, but …

(Assuming l1=l2 = 0)

(Assuming J = l = 0)

P = (−1) (−1) (−1) = −1

P = (−1) (−1) = +1

How to measure l1, l2 ? Dalitz diagram / Dalitz plot

For 3-body decay M123

Original idea: non-relativistic regime

 

Q = energy release in the decay = M-m1-m2-m3

 

Q = T1+T2+T3

 

Why a point inside the triangle represents T1, T2, T3?

 

What are X and Y ?

 

Why circle is a boundary of allowed events?

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3-body decay

If the invariant amplitude is constant the Dalitz plot will be uniformly populated Non-uniformity in population of Dalitz plot gives information on final-state interactions.

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3-body decay

More later, let’s go back to theta-tau

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Theta-tau paradox ~ 1947-1953

+

Idea: parity is not conserved in weak interactions… ?

How to test?

Nucleus spin is a pseudovector – does not change the direction under P transformation

why?

Momentum us true vector, p−p

If parity is conserved, the Lagrangian should not contain terms depending on P X J

 

Search for P-J correlations in nuclei decays

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Wu experiment

Cool 60Co atoms to near absolute zero (0.01K) Why?

Put them in strong magnetic field to polarize

60Co decays to unstable excited state of Ni, which then emits two photons

Photons are observed to be emitted isotropically, independently of the temperature

Electrons show asymmetry: more electrons emitted opposite to the nucleus spin

At the same time other experiments have shown parity non-conservation in pion decay

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Wu experiment

Why mirror does not inverse vertical direction on the plot? (or, why is this mirror representative of P conjugation??)

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Summary

αβγ decays

β decay puzzle and Pauli solution Parity

Parity violation

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LHC

Largest particle collider 27 km underground tunnel from LEP

Run-1

7 TeV (2011)

8 TeV (2012)

Run-2

13 TeV (2016-2018)

Run-3

13.6 TeV (2022-2024?)

https://home.cern/science/accelerators/large-hadron-collider

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Brief summary of LHC Run-2

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LHC experiments ATLAS and CMS

https://home.cern/science/experiments/cms

https://atlas.cern

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