1 Interaction Between Ionizing Radiation And Matter, Part 3 Neutrons Audun Sanderud Department of...

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1 Interaction Between Ionizing Radiation And Matter, Part 3 Neutrons Audun Sanderud Department of Physics University of Oslo

Transcript of 1 Interaction Between Ionizing Radiation And Matter, Part 3 Neutrons Audun Sanderud Department of...

Page 1: 1 Interaction Between Ionizing Radiation And Matter, Part 3 Neutrons Audun Sanderud Department of Physics University of Oslo.

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Interaction Between Ionizing Radiation And Matter,

Part 3 Neutrons

Audun Sanderud

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• Uncharged particles; mass close to that of protons

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loNeutrons

• Similar to photons; energy attenuation can roughly visualized with the same formalism

• Unstable as free particle; disintegration to a proton, an electron and an antineutrino (t1/2=12 min)

• Do not interact with electrons

• Only nuclear interactions; complicated relations

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• Basically two types of interaction:- elastic scattering against the nucleus

- absorption processes (capture): unstable nucleus is created, deexcitation give emission of particles n (inelastic scattering), p, , nucleus fragments

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loNeutron interactions

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• Cross section depend on: - Kinetically energy Tn

- Nucleus structure

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loNeutron interactions(2)

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• Potential (1) – and resonance(2) scattering1: scattered on the nucleus surface 2: absorbed by the nucleus, but reemittedThe nucleus are given kinetic energyCase (1): Cross section ~ Constant

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loLow energy, Tn < 500 keV

• When slowing down: neutron captured by a nucleus, the compound nucleus deexcitation by -emissionCross section ~ 1/v

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• Conservation of kinetic energy and momentum gives the same results as in charged particles.D

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Elastic scattering

• Elastic scattering by a nucleus with mass number A give minimum neutron energy at a nucleus scattering angel of =0o

( )1 2

min,n 0,n max,nucleus 0 02

1 2

2

1 n 2 n min,n 0

m mT T T T 4 T

m m

A 1m m , m Am T T

A 1

= - = -+

æ ö- ÷ç= = Þ = ÷ç ÷çè ø+

• Highest moderation is given in hydrogen rich absorbent

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• When the neutron is totally slowed down, and is in thermal equilibrium with its environment, it is given:

Tn=kT=0.025 eV at T = 293 Kk: Boltzmann constant

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• 235U has a high capture cross section of thermal neutrons – give fission

• 1H has a low (1/150 of the total) capture cross section of thermal neutrons – give deuteron and

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• Inelastic scattering: (n, n), nucleus is absorbing the neutron, then reemission together with a -quant. Threshold value ~0.5 MeV

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loHigh energy, Tn > 0.5 MeV

• Occur at certain energies; Resonances • Absorption lead to emission of charged

particles:(n, p), (n, ). Threshold value ~1 MeV • Emission of more than one particle: (n, np),

(n, n). Threshold value ~10 MeV • Highly complicated cross sections

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• A neutron beam passing trough a medium of thickness x, it is given that:

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µx0

A

N N e

µ : attenuation coefficient

Nµ=

A

-=

r s

• Note: the cross section variation can be extremely large in a small energy distribution

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• Neutrons in 27Al

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• 1H and 12C

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• 10B has a high capture cross section of thermal neutrons 3840 barns (1H only 0.33 barns)D

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Boron neutron therapy

• The result is an unstable nucleusthat disintegrate to 7Li and 4He (+ kinetic energy and photon)

• Can be used in cancer treatment: