Title: nuclear interactions:
1nuclear interactions
the chiral picture
M. R. Robilotta
2two-body forces
three-body forces
scalar form factors
chiral picture
3two-body forces
three-body forces
scalar form factors
chiral picture
4two-body forces
three-body forces
scalar form factors
chiral picture
5two-body forces
three-body forces
chiral picture
scalar form factors
6two-body forces
three-body forces
chiral picture
scalar form factors
7configuration space
two-body forces
three-body forces
chiral picture
scalar form factors
8chiral symmetry
at tree level
chiral perturbation theory
9chiral symmetry
approximate symmetry
group
pionic processes
low-energy theorems
correct order of magnitude for p-p, pN
10chiral symmetry at work
nuclear interactions
11chiral symmetry at work
wrong order of magnitude
nuclear interactions
12chiral symmetry at work
wrong order of magnitude
correct
nuclear interactions
13chiral symmetry at work
wrong order of magnitude
correct
nuclear interactions
NN
central potential
14pN
empirical
amplitude at low energies
PV
PV
chiral symmetry
15chiral symmetry at tree level
nuclear interactions
chiral symmetry
subthreshold coefficients
at tree level
16chiral perturbation theory
very !!!!! important
ART of organizing corrections to the leading
term
loop corrections
??
17HADRONS
18at low energies
simplified version
19at low energies
20at low energies
rationale
external interaction
2 or 3 light quarks
nucleon mass is another scale
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22leading terms
ChPT
corrections
23two-body forces
three-body forces
scalar form factors
chiral picture
24two-body potentials
leading order
Kaiser, Gestendorfer and Weise, N.P. A 637, 395
(1998)
Kaiser, P.R. C 65, 017001 (2001)
corrections
25input ?N
two-body potentials
26input ?N
two-body potentials
OPEP TPEP
27input ?N
two-body potentials
28input ?N
two-body potentials
29input ?N
two-body potentials
30input ?N
two-body potentials
negligible
31input ?N
two-body potentials
real life
32two-body forces
three-body forces (kind of)
scalar form factors
chiral picture
33drift potential
34drift potential
drift X LS
35two-body forces
three-body forces
scalar form factors
chiral picture
36input ?N
three-body potentials
37input ?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 !!!
44two-body forces
three-body forces
chiral picture
scalar form factors
45 chiral hierarchy
46real life
chiral hierarchy
47 chiral picture
48 chiral picture
why ?
49two-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
52configuration 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
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57oscillation
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60chiral hierarchy
configuration space
the model seems to be OK
lessons
61chiral hierarchy
62conclusions
many instances
assessment of general pattern
chiral hierarchy is OK almost everywhere
scalar-isoscalar sector is the exception
63thank you !!!!
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