Reflections on Charge Symmetry Breaking
Patrick Achenbach
U Mainz
June
2o18
Reflections on Charge Symmetry Breaking
Reflections on Charge Symmetry Breaking
Reflections on Charge Symmetry Breaking
Reflections on Charge Symmetry Breaking
•
sizeable effect in A = 4 isospin mirror pair
•
large experimental uncertainties in
A = 7, 8, 9
, and
10
isomultiplets
•
what are the (quantitative and qualitative) limitations of the data?
Use of Point Estimators
Use of Point Estimators
[M. Jurič et al., Nucl. Phys. B 52 (1973) 1]
CSB Database Issues (Personal Perspective)
CSB Database Issues (Personal Perspective)
•
do we have a complete set of statistical and systematic errors?
•
are all of the errors symmetric?
is the data normal distributed?
•
are outliers of values treated consistently?
(outliers can indicate a heavy-tailed distribution)
•
do we know all the cross-correlated errors when combining
binding energies from different measurements?
•
are likelihood functions used to combine different experiments?
•
do we have a coherent and fully accepted database?
(analogous to the PDG compilation)
No
No
No
No
No
No
The CSB Database I
The CSB Database I
[M. Jurič et al., Nucl. Phys. B 52 (1973) 1]
The CSB Database II
The CSB Database II
[D.H. Davis, Nucl. Phys. A 754 (2005) 3c]
The CSB Database II
The CSB Database II
[D.H. Davis, Nucl. Phys. A 754 (2005) 3c]
[A. Gal, E. V. Hungerford, D. J. Millener, Rev. Mod. Phys. 88 (2016) 035004]
The CSB Database III
The CSB Database III
[A. Gal, E. V. Hungerford, D. J. Millener, Rev. Mod. Phys. 88 (2016) 035004]
The CSB Database III
The CSB Database III
The CSB Database IV
The CSB Database IV
[E. Botta, T. Bressani, A. Feliciello, Nucl. Phys. A 960 (2017) 165]
The CSB Database IV
The CSB Database IV
[E. Botta, T. Bressani, A. Feliciello, Nucl. Phys. A 960 (2017) 165]
World data on
World data on
A ≤ 10
A ≤ 10
systems
systems
•
clearest signature of charge symmetry breaking in
A = 4
system
•
weak indications of charge symmetry breaking in
A ≠ 4
systems
Δ
B
Λ
4
World data on
World data on
4
4
Λ
Λ
H mass
H mass
outer error bars correlated from calibration
M
M
A
A
M
M
I
I
e
e
m
m
u
u
l
l
s
s
i
i
o
o
n
n
B
Λ
(
4
Λ
H)
(stat.)
(syst.)
emulsion:
2.04 ± 0.04 ± 0.05 MeV
[M. Juric et al. NP B52 (1973)]
MAMI 2012:
2.12 ± 0.01 ± 0.08 ± 0.03 MeV
[A. Esser et al.,
PRL
114 (2015)]
MAMI 2014:
2.16 ± 0.01 ± 0.08 MeV
[F. Schulz et al., NPA (2016)]
The limitations of data in charge symmetry breaking studies, database issues, and the use of point estimators from different experiments. Explore the CSB databases and their implications for nuclear physics research.
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Presentation Transcript
Reflections on Charge Symmetry Breaking Patrick Achenbach U Mainz June 2o18
Reflections on Charge Symmetry Breaking sizeable effect in A = 4 isospin mirror pair large experimental uncertainties in A = 7, 8, 9, and 10 isomultiplets what are the (quantitative and qualitative) limitations of the data? B = 0.35 0.06 Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
Use of Point Estimators [M. Juri et al., Nucl. Phys. B 52 (1973) 1] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
CSB Database Issues (Personal Perspective) No do we have a complete set of statistical and systematic errors? are all of the errors symmetric? is the data normal distributed? No No are outliers of values treated consistently? (outliers can indicate a heavy-tailed distribution) do we know all the cross-correlated errors when combining binding energies from different measurements? No No are likelihood functions used to combine different experiments? do we have a coherent and fully accepted database? (analogous to the PDG compilation) No Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
The CSB Database I [M. Juri et al., Nucl. Phys. B 52 (1973) 1] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
The CSB Database II [D.H. Davis, Nucl. Phys. A 754 (2005) 3c] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
The CSB Database II [D.H. Davis, Nucl. Phys. A 754 (2005) 3c] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
The CSB Database III [A. Gal, E. V. Hungerford, D. J. Millener, Rev. Mod. Phys. 88 (2016) 035004] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
The CSB Database III [A. Gal, E. V. Hungerford, D. J. Millener, Rev. Mod. Phys. 88 (2016) 035004] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
The CSB Database IV [E. Botta, T. Bressani, A. Feliciello, Nucl. Phys. A 960 (2017) 165] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
The CSB Database IV [E. Botta, T. Bressani, A. Feliciello, Nucl. Phys. A 960 (2017) 165] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
World data on A 10 systems B 4 clearest signature of charge symmetry breaking in A = 4 system weak indications of charge symmetry breaking in A 4 systems Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
World data on 4H mass outer error bars correlated from calibration B (4 H) (stat.) 2.04 0.04 0.05 MeV 2.12 0.01 0.08 0.03 MeV [A. Esser et al., PRL 114 (2015)] 2.16 0.01 0.08 MeV (syst.) emulsion: MAMI 2012: MAMI 2014: [M. Juric et al. NP B52 (1973)] [F. Schulz et al., NPA (2016)] Reflections on Charge Symmetry Breaking June 2o18 P Achenbach, U Mainz
