Title: In nuclear reactions we are concerned with the transition
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2In nuclear reactions we are concerned with the
transition
?i gt ? ?f gt
In photo-nuclear reactions we are concerned with
the transition
? ?i gt ? ?f gt
The hamiltionian for the system involves the
nuclear hamiltonian and the EM one
H Hnucl Hem
The transition amplitude for this reaction is
Mfi ltf? Hem?Igt
Hnucl is generally written as
Hnucl HSM R
3Photons are mighty
proton
nucleus
But photons are gentle
4Total absorption cross section
E? (MeV)
?7 fm
Interaction with a few nucleons
Interaction with whole nucleus
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6The Giant Dipole region The wavelength of the
photon is much bigger than the size of the
nucleus.
7The Giant Dipole region The nucleus is forced
into collective vibrations, and at the right
frequency, resonance
8The Giant Dipole region The nucleus is forced
into collective vibrations, and at the right
frequency, resonance
9The Giant Dipole region The nucleus is forced
into collective vibrations, and at the right
frequency, resonance
10The Giant Dipole region The nucleus is forced
into collective vibrations, and at the right
frequency, resonance
11The Giant Dipole region The nucleus is forced
into collective vibrations, and at the right
frequency, resonance
12The Giant Dipole region The nucleus is forced
into collective vibrations, and at the right
frequency, resonance
13The Giant Dipole region The nucleus is forced
into collective vibrations, and at the right
frequency, resonance
14The Giant Dipole region The nucleus is forced
into collective vibrations, and at the right
frequency, resonance
15The resonance energy
Em const A-1/3
E (hc/?)varies as 1/R
Nucleus models as liquid drop
16For Light nuclei.16O
17E1 (electric dipole) absorption
18E (electric dipole) absorption
19E (electric dipole) absorption
20E (electric dipole) absorption
21The resonance width
Narrow near closed shell nuclei why?
Deformed nuclei
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23Photoproton reaction
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25Direct knockout mechanism
Fine (not quite) for protons!
Neutrons have no charge? Expect (?,n) small.
2612C(?,n) 12C(?,p)
27Photoneutron reaction
? ? ?
28Why does a photon knock out a neutron as often as
a proton?
1. The photon interacts with the proton, then
the proton knocks out the neutron
The direct knock-on model, with final state
interactions. (DKO)
29Knock-on mechanism
Still predicts (?,n) cross section as too small.
30Why does a photon knock out a neutron as often as
a proton?
2. The photon interacts with proton - neutron
pairs that look like deuterons
The Quasi-deuteron model (QDM)
31Quasi-deuteron interaction
Works pretty well, but is it true?
32Two-nucleon emission
33Why does a photon knock out a neutron as often as
a proton?
3. The nucleus is really more complicated, and
the photon interacts with any charge in the
nucleus, including p mesons. The detailed
interactions must be considered
The microscopic calculation model
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35How to find the true interaction
Measure the states that are left following the
(g,pn) reaction.
Perfect! Predictions are different and we can
discriminate. Problem The measurements are hard
to do.
3616O(?.pn)14NGS
2.3.MeV GS I1
14Nnp
3716O(?.pn)14N2.3
2.3.MeV I0 GS
14Nnp
38Tagging the photons
How to determine te energy of a photon that
interacts with the target when the photon
spectrum is continuous.
E? Ee - Etag
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41A New State in 6He following the 7Li(?,p)6He
Reaction Mark Bolands PhD
The fascinating nucleus 6He, with twice as many
neutrons as protons. On the neutron drip line
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436He is modelled as an ? core with a halo of 2
weakly-coupled neutrons
Collective oscillations of the neutrons against
the core give soft-dipole state
Other interactions of the 3 bodies give a range
of unbound resonances with different J?
446He
45- 6He has a ß-decay halflife of 800 ms
- Not suitable as a target
- Could be projectile
- radio-active beam experiments
How to test the predictions?
Charge-exchange 6Li ? 6He Heavy-ion
experiments e.g. 6Li(7Li,7Be)6He
46Heavy Ions
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616He!
62Photonuclear measurement 7Li(?.p)6He is the
elegant solution
6350 to 70 MeV
64Mark Boland setting up the GLUE Chamber
65Set up for 7Li(g,p) Experiment
Solid-state proton detector (Proton energy)
66Energy lost in thin detector
Total energy of particle
676He p
7Li
68MAX LABORATORY Lund Sweden.
69Upgrade of accelerator 2003
Leading to a new regime of photonuclear
experiments in 2004
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71Unitarity of Cabibbo-Kobayashi-Maskawa matrix A
check on the standard model
7226Al
26Mg
73In such super allowed decays, what has happened
is that one of the up quarks in the proton has
changed to a down quark.
and can be determined from the halflife value for
super allowed ?-decay.
74?-ray detector
27Al
26Mg
?-ray detector
75Photons and Nucleon Structure
- above the ?-meson threshold.
- will begin to probe the inter-nucleon meson cloud
and the quark structure.
76Examining the sub-structure of the proton
A measurement of the of the photo-absorption of
the proton at 2 GeV Seeking the source of the
proton spin
Sophisticated experiment to use the 8-GeV
electron synchrotron near Osaka in Japan
77A move into studying the composition of the
proton and neutron.
With wavelengths much less than the size of the
nucleons we can probe their substructure..the
effects of the quarks and gluons.
78Only part of the proton spin (1/2) results from
quarks. The rest involves the gluons. To
resolve this, a massless probe (the photon) is
needed. The measurement will be to measure the
total absorption of photons at about 2
GeV. Sophisticated experiment
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80SPring-8 (Super Photon ring-8 GeV). One line is
devoted to producing monochratic photons by LASER
scattering.
81Producing high-energy photons by Compton
backscattering
8 GeV electrons
82Producing high-energy photons by Compton
backscattering
Argon Laser
8 GeV electrons
83Producing high-energy photons by Compton
backscattering
Argon Laser
8 GeV electrons
3 GeV ?-ray