Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Course webCourse webhttp://nuclear.bau.edu.jo/ju/ju-reactors/

orhttp://nuclear.dababneh.com/ju/ju-reactors/

Nuclear Reactor Theory 0302750

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Grading

Review Test 10%Mid-term Exam 30%Projects, quizzes and HWs 20%Final Exam 40%

• Homeworks and small projects are due after one week unless otherwise announced.• Remarks or questions marked in red without being announced as homeworks should be also seriously considered!• Some tasks can (or should) be sent by email:

saed@dababneh.com

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Review Test

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Projects

Topics related to:• Heat removal.• Radiation protection.• Radiation shielding.• Reactor licensing and safety.• Nuclear security.• Uranium mining or other front-end fuel cycle elements.• Back-end.• Other topics that you would like to suggest…..

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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• Please do your own thorough research on relevant topics you may find appropriate.• Provide your suggestion next week.• Final decision on the subject of your project should be taken before mid October.• Due date for written version is Monday, December 20th.• Presentation date will be decided later.

Projects

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Nuclear Reaction Energetics (revisited)

Conservation Laws• Charge, Baryon number, total energy, linear momentum, angular momentum, parity, (isospin??) …….

apa X

pY

pb

Y

bQTTcmcm iffi 22

+ve Q-value exoergic reaction. -ve Q-value endoergic reaction.

aYb TQTT +ve Q-value reaction possible if Ta 0. -ve Q-value reaction not possible if Ta 0. (Is Ta > |Q| sufficient?).

Conservation of momentum ……

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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• Conservation of momentum.• We usually do not detect Y.Show that:

• The threshold energy (for Ta): (the condition occurs for = 0º).

• +ve Q-value reaction possible if Ta 0.• -ve Q-value reaction possible if Ta > TTh.• Coulomb and other barriers…….!!!• Neutrons vs. charged particles.

bY

aaYYbYabaabab mm

TmmQmmmTmmTmmT

])()[(coscos 2

HW 1HW 1

abY

bYTh mmm

mmQT

Nuclear Reaction Energetics (revisited)

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Nuclear Reaction Energetics (revisited)

• The double valued situation occurs between TTh and the upper limit Ta

\.

• Double-valued in a forward cone.

aY

Ya mm

mQT

\

aba

aaYYbY

Tmm

TmmQmmm ])()[(cos max

2

HW 1HW 1 (continued)(continued)

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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• Discuss thoroughly the 7Li(p,n) reaction.• During the discussion emphasize on the case when the incident proton beam is 30 keV above the threshold.• Use your computing skills.

Nuclear Reaction Energetics (revisited)

HW 1HW 1 (continued)(continued)

• Discuss the elasticelastic and inelastic inelastic

scatteringscattering of neutronsneutrons using these relations.

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Nuclear Reaction Energetics

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Nuclear Reaction Energetics (revisited)

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Nuclear Reaction Energetics (revisited)

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Nuclear Reaction Energetics (revisited)

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Nuclear Reaction Energetics (revisited)

• If the reaction reaches excited states of Y

58Ni(,p)61Cu

Highest proton energy

exbexYaXex EQcmEcmcmcmQ 02222 )(

less proton energy

even less ….

See Figures 11.4 in Krane

Nuclear Reactor Theory, JU, First Semester, 2010-2011 (Saed Dababneh).

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Nuclear Reaction Energetics (revisited)