Error analysis of nuclear forces and effective interactions - INSPIRE

DataBETA

Error analysis of nuclear forces and effective interactions

Jun 3, 2014

16 pages

Published in:

J.Phys.G 42 (2015) 3, 034013

Published: Feb 5, 2015

e-Print:

1406.0625 [nucl-th]

DOI:

10.1088/0954-3899/42/3/034013

View in:

ADS Abstract Service

reference search33 citations

Citations per year

Abstract: (IOP)

The nucleon–nucleon (NN) interaction is the starting point for ab initio nuclear structure and nuclear reactions calculations. These are effectively carried out via effective interactions fitting scattering data up to a maximal center of mass momentum. However, NN interactions are subjected to statistical and systematic uncertainties, which are expected to propagate and have some impact on the predictive power and accuracy of theoretical calculations, regardless on the numerical accuracy of the method used to solve the many body problem. We stress the necessary conditions required for a correct and self-consistent statistical interpretation of the discrepancies between theory and experiment which enable a subsequent statistical error propagation and correlation analysis. We comprehensively discuss a stringent and recently proposed tail-sensitive normality test and provide a simple recipe to implement it. As an application, we analyze the deduced uncertainties and correlations of effective interactions in terms of Moshinsky–Skyrme parameters and effective field theory counterterms as derived from the bare NN potential containing one-pion-exchange and chiral two-pion-exchange interactions inferred from scattering data.

Note:

17 pages, 4 figures, 4 tables. Remarks added and typos corrected. Submitted to JPhysG Focus issue "Enhancing the interaction between nuclear experiment and theory through information and statistics" (ISNET)

03.65.Nk
11.10.Gh
13.75.Cs
21.30.Fe
21.45.+v
nucleon nucleon: interaction
error: statistical
nucleon nucleon: potential
pi: exchange
correlation

References(49)

Figures(8)

[1]

Nuclear forces and ab initio calculations of atomic nuclei

Ulf-G. Meißner
(
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum and
- Bonn U., HISKP and
- Bonn U.
)

- Nucl.Phys.A 928 (2014) 64-72
•
e-Print:
- 1401.5307
•
DOI:
- 10.1016/j.nuclphysa.2014.03.013

[2]

Hadron interactions in lattice QCD

Sinya AOKI for HAL QCD

Collaboration

•

S. Aoki
(
- Tsukuba U., GSPAS and
- Tsukuba U., CCS
)

for the collaboration.

- Prog.Part.Nucl.Phys. 66 (2011) 687-726
•
e-Print:
- 1107.1284
•
DOI:
- 10.1016/j.ppnp.2011.07.001

[3]

Nuclear forces from chiral Lagrangians

Steven Weinberg
(
- Texas U.
)

- Phys.Lett.B 251 (1990) 288-292
•
DOI:
- 10.1016/0370-2693(90)90938-3

[4]

Nucleon-nucleon potential from an effective chiral Lagrangian

C. Ordonez
(
- Texas U.
)
,
L. Ray
(
- Texas U.
)
,
U. van Kolck
(
- Washington U., Seattle
)

- Phys.Rev.Lett. 72 (1994) 1982-1985
•
DOI:
- 10.1103/PhysRevLett.72.1982

[5]

Peripheral nucleon-nucleon phase shifts and chiral symmetry

Norbert Kaiser
(
- Munich, Tech. U.
)
,
R. Brockmann
(
- Mainz U., Inst. Kernphys.
)
,
W. Weise
(
- Munich, Tech. U.
)

- Nucl.Phys.A 625 (1997) 758-788
•
e-Print:
- nucl-th/9706045
•
DOI:
- 10.1016/S0375-9474(97)00586-1

[6]

Chiral two pion exchange and proton proton partial wave analysis

M.C.M. Rentmeester
(
- Groningen, KVI and
- Nijmegen U. and
- Flinders U.
)
,
R.G.E. Timmermans
(
- Groningen, KVI and
- Utrecht U.
)
,
James Lewis Friar
(
- Los Alamos
)
,
J.J. de Swart
(
- Nijmegen U.
)

- Phys.Rev.Lett. 82 (1999) 4992-4995
•
e-Print:
- nucl-th/9901054
•
DOI:
- 10.1103/PhysRevLett.82.4992

[7]

Accurate charge dependent nucleon nucleon potential at fourth order of chiral perturbation theory

D.R. Entem
(
- Idaho U. and
- Salamanca U.
)
,
R. Machleidt
(
- Idaho U.
)

- Phys.Rev.C 68 (2003) 041001
•
e-Print:
- nucl-th/0304018
•
DOI:
- 10.1103/PhysRevC.68.041001

[8]

The Two-nucleon system at next-to-next-to-next-to-leading order

E. Epelbaum
(
- Jefferson Lab
)
,
W. Glockle
(
- Ruhr U., Bochum
)
,
Ulf-G. Meissner
(
- Bonn U., HISKP and
- Julich, Forschungszentrum
)

- Nucl.Phys.A 747 (2005) 362-424
•
e-Print:
- nucl-th/0405048
•
DOI:
- 10.1016/j.nuclphysa.2004.09.107

[9]

Chiral effective field theory and nuclear forces

R. Machleidt
(
- Idaho U.
)
,
D.R. Entem
(
- Salamanca U., IUFFyM and
- Salamanca U.
)

- Phys.Rept. 503 (2011) 1-75
•
e-Print:
- 1105.2919
•
DOI:
- 10.1016/j.physrep.2011.02.001

[10]

Nuclear Physics in Colorful Worlds

H. Muther
(
- SUNY, Stony Brook
)
,
C.A. Engelbrecht
(
- SUNY, Stony Brook
)
,
G.E. Brown
(
- SUNY, Stony Brook
)

- Nucl.Phys.A 462 (1987) 701-726,
- Nucl. Phys. A462 ( 1987) 701-726
•
DOI:
- 10.1016/0375-9474(87)90572-0

[11]

The Nucleon-nucleon potential in the 1/N(c) expansion

- Phys.Rev.C 56 (1997) 76-83
•
e-Print:
- nucl-th/9612021
•
DOI:
- 10.1103/PhysRevC.56.76

[12]

The Nucleon nucleon interaction and large N(c) QCD

- Phys.Rev.C 65 (2002) 034011
•
e-Print:
- hep-ph/0109274
•
DOI:
- 10.1103/PhysRevC.65.034011

[13]

Wigner symmetry, Large N(c) and Renormalized One Boson Exchange Potential

A. Calle Cordon
(
- Granada U. and
- Connecticut U.
)
,
E. Ruiz Arriola
(
- Granada U.
)

- Phys.Rev.C 78 (2008) 054002
•
e-Print:
- 0807.2918
•
DOI:
- 10.1103/PhysRevC.78.054002

[14]

Serber symmetry, Large N(c) and Yukawa-like One Boson Exchange Potentials

A. Calle Cordon
(
- Granada U.
)
,
E. Ruiz Arriola
(
- Granada U.
)

- Phys.Rev.C 80 (2009) 014002
•
e-Print:
- 0904.0421
•
DOI:
- 10.1103/PhysRevC.80.014002

[15]

Coarse graining Nuclear Interactions

- Prog.Part.Nucl.Phys. 67 (2012) 359-364
•
e-Print:
- 1111.4328
•
DOI:
- 10.1016/j.ppnp.2011.12.044

[16]

Partial wave analaysis of all nucleon-nucleon scattering data below 350-MeV

- Phys.Rev.C 48 (1993) 792-815
•
DOI:
- 10.1103/PhysRevC.48.792

[17]

Construction of high quality N N potential models

V.G.J. Stoks
(
- Flinders U. and
- Nijmegen U.
)
,
R.A.M. Klomp
(
- Nijmegen U.
)
,
C.P.F. Terheggen
(
- Nijmegen U.
)
,
J.J. de Swart
(
- Nijmegen U.
)

- Phys.Rev.C 49 (1994) 2950-2962
•
e-Print:
- nucl-th/9406039
•
DOI:
- 10.1103/PhysRevC.49.2950

[18]

An Accurate nucleon-nucleon potential with charge independence breaking

Robert B. Wiringa
(
- Argonne, PHY
)
,
V.G.J. Stoks
(
- Flinders U.
)
,
R. Schiavilla
(
- Jefferson Lab and
- Old Dominion U.
)

- Phys.Rev.C 51 (1995) 38-51
•
e-Print:
- nucl-th/9408016
•
DOI:
- 10.1103/PhysRevC.51.38

[19]

The High precision, charge dependent Bonn nucleon-nucleon potential (CD-Bonn)

R. Machleidt
(
- Idaho U.
)

- Phys.Rev.C 63 (2001) 024001
•
e-Print:
- nucl-th/0006014
•
DOI:
- 10.1103/PhysRevC.63.024001

[20]

Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350-MeV

Franz Gross
(
- William-Mary Coll. and
- Jefferson Lab
)
,
Alfred Stadler
(
- Lisbon U., CFAUL and
- Evora U.
)

- Phys.Rev.C 78 (2008) 014005
•
e-Print:
- 0802.1552
•
DOI:
- 10.1103/PhysRevC.78.014005

[21]

Error Estimates of Theoretical Models: a Guide. Journal of Physics G: Nuclear and Particle

J. Dobaczewski
,
W. Nazarewicz
,
P.G. Reinhard

- Physics 41 (2014) 074001

[22]

Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold

- Phys.Rev.C 88 (2013) 024002,
- Phys.Rev.C 88 (2013) 6, 069902 (erratum)
•
e-Print:
- 1304.0895
•
DOI:
- 10.1103/PhysRevC.88.024002

[23]

Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold

- Phys.Rev.C 88 (2013) 6, 064002,
- Phys.Rev.C 91 (2015) 2, 029901 (erratum)
•
e-Print:
- 1310.2536
•
DOI:
- 10.1103/PhysRevC.88.064002

[24]

Coarse grained NN potential with Chiral Two Pion Exchange

- Phys.Rev.C 89 (2014) 2, 024004
•
e-Print:
- 1310.6972
•
DOI:
- 10.1103/PhysRevC.89.024004

[25]

Statistical error analysis for phenomenological nucleon-nucleon potentials

- Phys.Rev.C 89 (2014) 6, 064006
•
e-Print:
- 1404.0314
•
DOI:
- 10.1103/PhysRevC.89.064006

1-25 of 49
1
2
25 / page