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Interactions of Radiation with Matter Pietro Chimenti 25/08/2010 Layout of the presentation: Introduction Interaction of Muons Of Electrons and Photons Of Hadrons

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Page 1: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Interactions of Radiation with Matter

Pietro Chimenti25/08/2010

Layout of the presentation:●Introduction

●Interaction of Muons●Of Electrons and Photons

●Of Hadrons

Page 2: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

A few referencesTextbooks:●G.F.Knoll, “Radiation Detection and Measurements”, John Wiley and Sons●W.R.Leo, “Techniques for Nuclear and Particle Physics Experiments: A How-to Approach”, Springer

Particle Data Group (many pictures from this):●http://pdg.lbl.gov/2010/reviews/rpp2010-rev-passage-particles-matter.pdf

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

Page 3: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

On the subject of this presentationRadiation--> Particles!“Low” intensity: no collective effects!We analyze the interaction of a single particle crossing a material:

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

Page 4: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Particles to be considered●Photon: mass-less, no charge, stable●Electron: M~0.511MeV/c^2, charged, not strongly interacting, stable●Muon: M~106MeV/c^2, charged, not strongly interacting, T~2.2X10^-6 s●Proton: M~938MeV/c^2, charged, strongly interacting, stable●Neutrons, pions, kaons, other nuclei

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

Page 5: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

An example of interaction(Bubble chamber)

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

Page 6: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

The simplest case: muons

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

If the muon energy is not too high the interaction is dominated by the transfer of

energy to electrons of the material.

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The interaction of a fast muon with an atom

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

Differential energy transfer cross section (Rutherford - corrections due to atomic physics

however are needed).

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The interaction of a fast muon with an homogeneous material

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

We have to sum (integrate) over the interaction with all the surrounding atoms.

M: momentum of order J of the distribution of released energy. Order 0: total number of

interactions.Order 1: mean released energy

Page 9: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Example: stopping power in Copper

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

Important features: low and high energy behaviour, minimum, Bethe approximation.

Page 10: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Radiative Energy Loss (1)

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Page 11: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Radiative Energy Loss (2)

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Radiative Energy Loss (3)

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Page 13: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Range

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

The range is the typical length traveled by a particle of a given energy in a certain material.

Page 14: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Bragg Peak

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

The Bragg Peak is an increase in energy deposition close to the end of the particle path.

Page 15: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Multiple Coulomb scattering

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Incoherent scattering of the particle from nuclei.

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Stopping power of mixtures

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A simple weighted sum of the stopping power of the single compounds (Bragg Additivity).

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An electromagnetic shower

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

The interaction of electrons, positrons and photons in materials is tightly connected.

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The interaction of electrons

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

Important feature: the critical energy.

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The critical energy

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The development of the shower depends on the atomic number Z.

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The interaction of photons with materials

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

Three important effects: photoelectric, Compton and pair production.

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The dominant process in photon interaction

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The photon absorption length

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High Z material (e.g. Lead) are particularly effective in shielding against E.M. radiation.

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An eletromagnetic shower in Icarus

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Page 24: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

An hadronic shower in Icarus

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Basic features of hadronic showers

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Hadrons produced abundantly, but also muons. E.M. Component much reduced.

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How to detect particle interactions

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●photons from: fluorescence, scintillation, Cherenckov effect, transition radiation●electrons and/or ions from ionization●Phase transition in material (e.g. cloud chamber)●Phonons (crystal lattice vibrations)

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A Water Cherenkov Example (Super-Kamiokande)

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Page 28: Interactions of Radiation with Mattercosmicraysschool.ufabc.edu.br/pres/Pietro.pdf · Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010 We have to sum (integrate)

Conclusions

Interactions of Radiation with Matter - Pietro Chimenti - 25/08/2010

I hope you enjoyed the lecture.

Have fun at the school!