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PHYSICS OF HADRON SHOWERS IN GEANT4 (PROGRESS REPORT) Adam Para, Fermilab, March 23, 2010 1
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Adam Para, Fermilab, March 23, 2010 1. Methodology Use Hadr01 example In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

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Page 1: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

PHYSICS OF HADRON SHOWERS IN GEANT4(PROGRESS REPORT)

Adam Para, Fermilab, March 23, 2010

1

Page 2: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Methodology Use Hadr01 example In G4SteppingVerbose::StepInfo() select all the steps

with inelastic processes or captures. Write out all the step information and a list of created secondaries.

This is a PostStep method and the interacting particle no longer exists. The energy of the interacting particle is not easily accessible. A kludge: use the energy of the particle from the previous step, stored in a local variable.

Caveat 1: for some interactions the energy may not be available (if there was not previous, ‘elastic’ step)

Caveat 2: the energy is, in general overestimated by some variable amount, depending on the step length.

Will show 50 GeV protons in BGO, QGSP_BERT for now. Have implemented LCPhys, need to analyze the data

2

Page 3: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Long List of Physics Processes Simulated

3

• inelastic collisions of protons (~10/50 GeV shower)

• inelastic collisions of neutrons ~1000

• neutron capture ~800

• inelastic interactions of mesons ~20

• Inelasti interaction of baryons ~0.1

• muon capture ~0.1

Page 4: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Inelastic Nucleon Interactions

There are several categories of nucleons: Produced in high energy hadron-nucleus

QCD interaction Spallation nucleons Evaporation nucleons Nucleons produced in fission reactions

I have arbitrarily divided nucleon interactions into two groups: High energy ( E>1 GeV) Low energy (E<100 MeV)

4

Page 5: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

High Energy Neutron Interactions

5

Page 6: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

General Characteristics

6

• most of the interactions occur at very low energies

• prompt < 10 nsec• confined to a narrow

tube with ~5cm radius

Page 7: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Multiplicity of Produced Particles

7

• Broad distribution, very long tail due to neutrons

• most of the time a single nucleus

• some elastic collisions, some events of nuclear breakup

Page 8: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Spectra of Produced Particles

8

• leading particle effect• most of hadrons at low

energies• most of protons and

neutrons at very low (~nuclear energies)

Page 9: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

‘Nuclear Nucleons’

9

• very low energy neutrons, peaked at zero

• slightly higher energies when the nucleus breaks up

• protons definitely higher energy than neutrons

• <Ep> ~6-7 MeV

Page 10: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Nuclear Reactions

10

• Kick out some number of nucleons from a nucleus

• Sometimes break Bi nucleus into two large pieces.

• The latter produces very large number of neutrons

Page 11: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost in a Collision

11

• very different modeling of hadron-nucleus interaction below and above 10 GeV

Page 12: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost vs Number of Neutrons

12

• Above 10 GeV: very large missing energy, not consistent with a small number of neutrons

• Below 10 GeV:• no nuclear fragments:

• missing energy increasing with number of neutrons

• bands (presumably) reflecting the number of mesons produced

• one nuclear fragment:• large number of neutrons• missing energy increasing

with number of neutrons• bands (presumably)

reflecting the number of mesons produced

• two nuclear fragments: • as above, but somewhat

less energy missing

Page 13: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Neutrons, Low Energies (<100 MeV)

13

Page 14: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

General Characteristics

14

• most of the interactions occur at very low energies

• prompt < 10 nsec• rather broad tube

extending to ~20-30 cm radius

Page 15: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Multiplicity of Produced Particles

15

• Mostly gammas• Narrow distribution, • most of the time a

single nucleus•

Page 16: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Spectra of Produced Particles

16

• Mostly gammas• very soft nuclones

(evaporation)• one pion produced! (tail

of the Fermi motion?)

Page 17: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

‘Nuclear Nucleons’

17

• very low energy neutrons, peaked at zero

• slightly higher energies when the nucleus breaks up

• protons definitely higher energy than neutrons

• <Ep> ~6-7 MeV

Page 18: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Nuclear Reactions

18

• Kick out small number of nucleons from a nucleus

• Sometimes break Bi nucleus into two large pieces.

• The latter produces larger number of neutrons

Page 19: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost in a Collision

19

• energy gain in fission events

• discrete lines of energy lost to evaporate nucleons

Page 20: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost vs Number of Neutrons

20

• small numbers of produced neutrons, small energy lost

Page 21: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

High Energy Proton Interactions (E>1 GeV)

21

Page 22: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

General Characteristics

22

• mix of high (50 GeV) and low (~1 GeV) interactions

• prompt < 10 nsec• confined to a narrow

tube with ~1 cm radius

Page 23: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Multiplicity of Produced Particles

23

• Broad distribution, very long tail due to neutrons

• most of the time a single nucleus

• some elastic collisions, some events of nuclear breakup

Page 24: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Spectra of Produced Particles

24

• leading particle effect• most of hadrons at low

energies• most of protons,

neutrons and gammas at very low (~nuclear energies)

Page 25: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

‘Nuclear Nucleons’

25

• very low energy neutrons, peaked at zero

• slightly higher energies when the nucleus breaks up

• protons definitely higher energy than neutrons

• <Ep> ~6-7 MeV

Page 26: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Nuclear Reactions

26

• Kick out some number of nucleons from a nucleus

• Sometimes break Bi nucleus into two large pieces.

• The latter produces very large number of neutrons

Page 27: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost in a Collision

27

• very different modeling of hadron-nucleus interaction below and above 10 GeV

Page 28: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost vs Number of Neutrons

28

• Above 10 GeV: very large missing energy, not consistent with a small number of neutrons

• Below 10 GeV:• no nuclear fragments:

• missing energy increasing with number of neutrons

• bands (presumably) reflecting the number of mesons produced

• one nuclear fragment:• large number of neutrons• missing energy increasing

with number of neutrons• bands (presumably)

reflecting the number of mesons produced

• two nuclear fragments: • as above, but somewhat

less energy missing

Page 29: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Proton Interactions, Low Energies (<100 MeV)

29

Page 30: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

General Characteristics

30

• most of the interactions occur at very low energies

• Coulomb barrier• promt < 10 nsec• confined to a narrow

tube with ~10 cm cm radius

Page 31: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Multiplicity of Produced Particles

31

• neutrons and gamms produced only

• most of the time a single nucleus

Page 32: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Spectra of Produced Particles

32

• soft protons• very soft neutrons• nuclear gammas

Page 33: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

‘Nuclear Nucleons’

33

• very low energy neutrons, peaked at zero

• slightly higher energies when the nucleus breaks up

• protons definitely higher energy than neutrons

• <Ep> ~6-7 MeV

Page 34: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Nuclear Reactions

34

• Kick out a small number of nucleons from a nucleus

• Very seldom break Bi nucleus into two large pieces.

• The latter produces very large number of neutrons

Page 35: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost vs Number of Neutrons

35

• •

Page 36: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Meson Interactions

36

Page 37: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

General Characteristics

37

• most of the interactions occur at very low energies

• promt < 10 nsec• confined to a narrow

tube with ~10 cm cm radius

Page 38: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Multiplicity of Produced Particles

38

• Broad distribution, very long tail due to neutrons

• most of the time a single nucleus

• some elastic collisions, some events of nuclear breakup

Page 39: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Spectra of Produced Particles

39

• leading particle effect• most of hadrons at low

energies• most of protons and

neutrons at very low (~nuclear energies)

Page 40: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

‘Nuclear Nucleons’

40

• very low energy neutrons, peaked at zero

• slightly higher energies when the nucleus breaks up

• protons definitely higher energy than neutrons

• <Ep> ~6-7 MeV

Page 41: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Nuclear Reactions

41

• Kick out some number of nucleons from a nucleus

• Sometimes break Bi nucleus into two large pieces.

• The latter produces very large number of neutrons

Page 42: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost in a Collision

42

• very different modeling of hadron-nucleus interaction below and above 10 GeV

Page 43: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost vs Number of Neutrons

43

• Above 10 GeV: very large missing energy, not consistent with a small number of neutrons

• Below 10 GeV:• no nuclear fragments:

• missing energy increasing with number of neutrons

• bands (presumably) reflecting the number of mesons produced

• one nuclear fragment:• large number of neutrons• missing energy increasing with

number of neutrons• bands (presumably) reflecting

the number of mesons produced

• two nuclear fragments: • as above, but somewhat less

energy missing

Page 44: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Baryon Interactions

44

Page 45: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

General Characteristics

45

• most of the interactions occur at very low energies

• prompt < 10 nsec• confined to a narrow

tube with few cm radius

Page 46: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Multiplicity of Produced Particles

46

• Broad distribution, very long tail due to neutrons

Page 47: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Spectra of Produced Particles

47

• very few and very soft particles produced (as a result of very low energy of the interacting baryons)

Page 48: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Neutron Capture

48

Page 49: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

General Characteristics

49

• most of captures occur at low energies< 1 MeV

• ~ 1.5 msec time constant

• extends to largi radii ~30-40 cm

Page 50: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Multiplicity of Produced Particles

50

• one or two gammas produced

Page 51: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Spectra of Produced Particles

51

• ~8 MeV single gamma, or two gammas sharing 8 MeV

Page 52: Adam Para, Fermilab, March 23, 2010 1. Methodology  Use Hadr01 example  In G4SteppingVerbose::StepInfo() select all the steps with inelastic processes.

Energy Lost

52

• binding energy released as gammas. Effective gain (back) of energy