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nuclear interactions:

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chiral symmetry at work. nuclear interactions. pN. wrong order. of magnitude. correct ... chiral symmetry subthreshold coefficients. at tree level. LEADING. TERMS ... – PowerPoint PPT presentation

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Title: nuclear interactions:


1
nuclear interactions
the chiral picture
M. R. Robilotta
2
two-body forces
three-body forces
scalar form factors
chiral picture
3
two-body forces
three-body forces
scalar form factors
chiral picture
4
two-body forces
three-body forces
scalar form factors
chiral picture
5
two-body forces
three-body forces
chiral picture
scalar form factors
6
two-body forces
three-body forces
chiral picture
scalar form factors
7
configuration space
two-body forces
three-body forces
chiral picture
scalar form factors
8
chiral symmetry
at tree level
chiral perturbation theory
9
chiral symmetry
approximate symmetry
group
pionic processes
low-energy theorems
correct order of magnitude for p-p, pN
10
chiral symmetry at work
nuclear interactions
11
chiral symmetry at work
wrong order of magnitude
nuclear interactions
12
chiral symmetry at work
wrong order of magnitude
correct
nuclear interactions
13
chiral symmetry at work
wrong order of magnitude
correct
nuclear interactions
NN

central potential
14
pN
empirical
amplitude at low energies
PV
PV
chiral symmetry
15
chiral symmetry at tree level
nuclear interactions
chiral symmetry
subthreshold coefficients
at tree level
16
chiral perturbation theory
very !!!!! important
ART of organizing corrections to the leading
term
loop corrections
??
17
HADRONS
18
at low energies
simplified version
19
at low energies
20
at low energies
rationale
external interaction
2 or 3 light quarks
nucleon mass is another scale
21
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22
leading terms
ChPT
corrections
23
two-body forces
three-body forces
scalar form factors
chiral picture
24
two-body potentials
leading order
Kaiser, Gestendorfer and Weise, N.P. A 637, 395
(1998)
Kaiser, P.R. C 65, 017001 (2001)
corrections
25
input ?N
two-body potentials
26
input ?N
two-body potentials
OPEP TPEP
27
input ?N
two-body potentials
28
input ?N
two-body potentials
29
input ?N
two-body potentials
30
input ?N
two-body potentials
negligible
31
input ?N
two-body potentials
real life
32
two-body forces
three-body forces (kind of)
scalar form factors
chiral picture
33
drift potential
34
drift potential
drift X LS
35
two-body forces
three-body forces
scalar form factors
chiral picture
36
input ?N
three-body potentials
37
input ?N
three-body potentials
TM
Brazil
up to uncertainties due to empirical input
38
three-body potentials new terms
not considered
39
three-body potentials new terms
good pN amplitude
40
three-body potentials new terms
loop
non local
41
three-body potentials new terms
NEW structures
42
three-body potentials new terms
beyond leading order
full calculation
43
three-body potentials new terms
Ay puzzle 20 years old !!!
44
two-body forces
three-body forces
chiral picture
scalar form factors
45
chiral hierarchy
46
real life
chiral hierarchy
47
chiral picture
48
chiral picture
why ?
49
two-body forces
three-body forces
chiral picture
scalar form factors
50
scalar form factors
scalar-isoscalar interactions are too large
simple
51
NUCLEON scalar form factor
NUCLEON scalar form factor
configuration space
52
configuration space
NUCLEON scalar form factor
53
NUCLEON scalar form factor
configuration space
54
NUCLEON scalar form factor
configuration space
bound operator
55
NUCLEON scalar form factor
configuration space
56
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57
oscillation
58
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59
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60
chiral hierarchy
configuration space
the model seems to be OK
lessons
61
chiral hierarchy
62
conclusions
many instances
assessment of general pattern
chiral hierarchy is OK almost everywhere
scalar-isoscalar sector is the exception
63
thank you !!!!
64
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