Nuclear Properties Flashcards

(30 cards)

1
Q

What was the main idea of Thomson’s plum pudding model?

A

The atom was a diffuse positively charged sphere with electrons embedded throughout.

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2
Q

What experiment tested the plum pudding model?

A

Rutherford’s alpha particle scattering experiment using gold foil.

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3
Q

What unexpected observation did Rutherford’s experiment find?

A

Some alpha particles scattered at very large angles, including backwards.
The diffuse positive charge could only produce small deflections, not large ones.

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4
Q

What conclusion did Rutherford draw from his scattering experiment?

A

The atom contains a small, dense, positively charged nucleus with most of the mass.

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5
Q

Why is Rutherford scattering considered the birth of nuclear physics?

A

It established the existence of the atomic nucleus.

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6
Q

What assumptions are used in Rutherford cross section?

A

Coulomb interaction between alpha particle and nucleus; scattering is elastic; single scattering (thin target).

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7
Q

What is the mass of a proton?

A

1.6726 × 10⁻²⁷ kg (0.9383 GeV/c²)

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8
Q

What is the intrinsic parity of a proton?

A

Even (+1)

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9
Q

Equation for two particles with intrinsic parities P1 and P2 is…

A

P1 P2 (-1) ^L

L is orbital angular momentum

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10
Q

What does the Dirac eqn predict for g_s for point particles

A

2

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11
Q

What is the spin g-factor of a proton and neutron?

A

5.5857
-3.8260837

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12
Q

What does the proton and neutron’s g-factor tell us about its structure?

A

It is not an elementary particle.

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13
Q

What is the mass of a neutron?

A

1.6749 × 10⁻²⁷ kg (0.9396 GeV/c²)

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14
Q

What is the intrinsic parity of a neutron?

A

Even (+1)

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15
Q

Is a free neutron stable?

A

No, half-life ≈ 886 seconds.

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16
Q

What is the parity operation?

A

Reflection of spatial coordinates through the origin: (x,y,z) → (−x,−y,−z).

17
Q

What is even parity?

A

The wavefunction remains unchanged: ψ(x) = +ψ(−x).

18
Q

What is odd parity?

A

The wavefunction changes sign: ψ(x) = −ψ(−x).

19
Q

How does parity relate between fermions and their antiparticles?

A

Fermions have opposite parity to their antiparticles.

20
Q

How does parity relate between bosons and their antiparticles?

A

Bosons have the same parity as their antiparticles.

21
Q

Which fundamental forces conserve parity?

A

Strong and electromagnetic forces.

22
Q

Which fundamental force violates parity?

23
Q

What is the magnetic moment associated with orbital angular momentum?

A

μ = (eħ/2m)l

24
Q

What is the nuclear magneton?

A

μₙ = eħ / (2mₚ)

25
What is the Bohr magneton?
μᴮ = eħ / (2mₑ)
26
Magnetic moment dependent on angular momentum eqn, for proton and neutron
mu = g_L L mu_N where g_L is 1 for protons and 0 for neutrons
27
Magnetic moment dependent on intrinsic spin eqn, for proton and neutron
mu = g_s s mu_N where s = 1/2 for protons and neutrons
28
What is the orbital g-factor for a proton?
1
29
Why is the neutron’s orbital g-factor zero?
It has no electric charge.
30
What evidence shows protons and neutrons are not elementary particles?
Their g-factors differ greatly from point-particle predictions.