Charge dependent nucleon-nucleon potential from chiral effective field theory - INSPIRE

DataBETA

Charge dependent nucleon-nucleon potential from chiral effective field theory

Oct, 2000

28 pages

Published in:

Nucl.Phys.A 693 (2001) 663-692

e-Print:

nucl-th/0010019 [nucl-th]

DOI:

10.1016/S0375-9474(01)00969-1

Report number:

FZJ-IKP-TH-2000-21

View in:

reference search73 citations

Citations per year

Abstract:

We discuss charge symmetry and charge independence breaking in a chiral effective field theory approach for few-nucleon systems based on a modified Weinberg power counting. We construct a two-nucleon potential with bound and scattering states generated by means of a properly regularized Lippmann-Schwinger equation. We systematically introduce strong isospin-violating and electromagnetic operators in the theory. We use standard procedures to treat the Coulomb potential between two protons in momentum space. We present results for phase shifts in the proton-proton, the neutron-proton and the neutron-neutron systems. We discuss the various contributions to charge dependence and charge symmetry breaking observed in the nucleon-nucleon scattering lengths.

nucleon nucleon: potential
charge dependence
effective Lagrangian
perturbation theory
symmetry: chiral
charge: symmetry breaking
Lippmann-Schwinger equation
isospin: violation
operator: electromagnetic
p p: interaction

References(31)

Figures(0)

Effective chiral Lagrangians for nucleon - pion interactions and nuclear forces

Steven Weinberg
(
- Texas U.
)

- Nucl.Phys.B 363 (1991) 3-18
•
DOI:
- 10.1016/0550-3213(91)90231-L

Two nucleon systems from effective field theory

David B. Kaplan
(
- Washington U., Seattle
)
,
Martin J. Savage
(
- Washington U., Seattle
)
,
Mark B. Wise
(
- Caltech
)

- Nucl.Phys.B 534 (1998) 329-355
•
e-Print:
- nucl-th/9802075
•
DOI:
- 10.1016/S0550-3213(98)00440-4

Nuclear forces from chiral Lagrangians using the method of unitary transformation. 1. Formalism

E. Epelbaum
(
- Julich, Forschungszentrum and
- Ruhr U., Bochum
)
,
Walter Gloeckle
(
- Ruhr U., Bochum
)
,
Ulf-G. Meissner
(
- Julich, Forschungszentrum
)

- Nucl.Phys.A 637 (1998) 107-134
•
e-Print:
- nucl-th/9801064
•
DOI:
- 10.1016/S0375-9474(98)00220-6

Nuclear forces from chiral Lagrangians using the method of unitary transformation. 2. The two nucleon system

E. Epelbaum
(
- Julich, Forschungszentrum and
- Ruhr U., Bochum
)
,
Walter Gloeckle
(
- Ruhr U., Bochum
)
,
Ulf-G. Meissner
(
- Julich, Forschungszentrum
)

- Nucl.Phys.A 671 (2000) 295-331
•
e-Print:
- nucl-th/9910064
•
DOI:
- 10.1016/S0375-9474(99)00821-0

Charge symmetry, quarks and mesons

G.A. Miller
(
- TRIUMF and
- Washington U., Seattle
)
,
B.M.K. Nefkens
(
- UCLA and
- Boskovic Inst., Zagreb
)
,
I. Slaus
(
- UCLA and
- Boskovic Inst., Zagreb
)

- Phys.Rept. 194 (1990) 1-116
•
DOI:
- 10.1016/0370-1573(90)90102-8

Isospin violation and meson exchange models of the nucleon-nucleon interaction

Sidney A. Coon
(
- New Mexico State U.
)

e-Print:
- nucl-th/9903033

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

Coulomb effects in low-energy proton proton scattering

- Nucl.Phys.A 665 (2000) 137-163
•
e-Print:
- hep-ph/9903523
•
DOI:
- 10.1016/S0375-9474(99)00406-6

New Attempt to Determine the n-n Scattering Length with the H-2 (n, np) n Reaction

et al.

- Phys.Rev.Lett. 85 (2000) 1190-1193
•
DOI:
- 10.1103/PhysRevLett.85.1190

Leading order nuclear pi gamma exchange force

James Lewis Friar
(
- Los Alamos and
- Washington U., Seattle and
- New Mexico State U.
)
,
S.A. Coon
(
- Los Alamos and
- Washington U., Seattle and
- New Mexico State U.
)

- Phys.Rev.C 53 (1996) 588-592
•
DOI:
- 10.1103/PhysRevC.53.588

Charge independence breaking and charge symmetry breaking in the nucleon-nucleon interaction from effective field theory

- Phys.Lett.B 461 (1999) 287-294,
- Phys.Lett.B 467 (1999) 308-308 (erratum)
•
e-Print:
- nucl-th/9902042
•
DOI:
- 10.1016/S0370-2693(99)00776-5

- Phys.Rev.C 58 259

Few nucleon forces from chiral Lagrangians

U. van Kolck
(
- Washington U., Seattle
)

- Phys.Rev.C 49 (1994) 2932-2941
•
DOI:
- 10.1103/PhysRevC.49.2932

Electromagnetic corrections to the one pion exchange potential

U. van Kolck
(
- Washington U., Seattle
)
,
M.C.M. Rentmeester
(
- Flinders U. and
- Nijmegen U.
)
,
James Lewis Friar
(
- Los Alamos and
- Washington U., Seattle
)
,
J.Terrance Goldman
(
- Los Alamos
)
,
J.J. de Swart
(
- Nijmegen U.
)

- Phys.Rev.Lett. 80 (1998) 4386-4389
•
e-Print:
- nucl-th/9710067
•
DOI:
- 10.1103/PhysRevLett.80.4386

Charge independence breaking in the two pion exchange nucleon-nucleon force

James Lewis Friar
(
- Los Alamos
)
,
U. van Kolck
(
- Caltech, Kellogg Lab
)

- Phys.Rev.C 60 (1999) 034006
•
e-Print:
- nucl-th/9906048
•
DOI:
- 10.1103/PhysRevC.60.034006

Chiral dynamics in nucleons and nuclei

- Int.J.Mod.Phys.E 4 (1995) 193-346
•
e-Print:
- hep-ph/9501384
•
DOI:
- 10.1142/S0218301395000092

The Role of Resonances in Chiral Perturbation Theory

- Nucl.Phys.B 321 (1989) 311-342
•
DOI:
- 10.1016/0550-3213(89)90346-5

Virtual photons in chiral perturbation theory

Res Urech
(
- Bern U.
)

- Nucl.Phys.B 433 (1995) 234-254
•
e-Print:
- hep-ph/9405341
•
DOI:
- 10.1016/0550-3213(95)90707-N

Isospin breaking in chiral perturbation theory and the decays eta ---> pi lepton neutrino and tau ---> eta pi neutrino

H. Neufeld
(
- Vienna U.
)
,
H. Rupertsberger
(
- Vienna U.
)

- Z.Phys.C 68 (1995) 91-102
•
DOI:
- 10.1007/BF01579808

Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to pi pi scattering

Ulf-G. Meissner
(
- Julich, Forschungszentrum
)
,
G. Muller
(
- Bonn U.
)
,
S. Steininger
(
- Bonn U.
)

- Phys.Lett.B 406 (1997) 154-160,
- Phys.Lett.B 407 (1997) 454 (erratum)
•
e-Print:
- hep-ph/9704377
•
DOI:
- 10.1016/S0370-2693(97)00666-7

- Phys.Lett.B 407 434

Virtual photons in low-energy pi pi scattering

Marc Knecht
(
- Marseille, CPT
)
,
Res Urech
(
- Karlsruhe U.
)

- Nucl.Phys.B 519 (1998) 329-360
•
e-Print:
- hep-ph/9709348
•
DOI:
- 10.1016/S0550-3213(98)00044-3

Pion - nucleon scattering in chiral perturbation theory. 1. Isospin symmetric case

Nadia Fettes
(
- Julich, Forschungszentrum
)
,
Ulf-G. Meissner
(
- Julich, Forschungszentrum
)
,
Sven Steininger
(
- Julich, Forschungszentrum and
- Bonn U.
)

- Nucl.Phys.A 640 (1998) 199-234
•
e-Print:
- hep-ph/9803266
•
DOI:
- 10.1016/S0375-9474(98)00452-7

Isospin violation in pion nucleon scattering

Ulf G. Meissner
(
- Julich, Forschungszentrum
)
,
S. Steininger
(
- Bonn U. and
- Julich, Forschungszentrum
)

- Phys.Lett.B 419 (1998) 403-411
•
e-Print:
- hep-ph/9709453
•
DOI:
- 10.1016/S0370-2693(97)01418-4

Virtual photons in baryon chiral perturbation theory

Guido Muller
(
- Vienna U.
)
,
Ulf-G. Meissner
(
- Julich, Forschungszentrum
)

- Nucl.Phys.B 556 (1999) 265-291
•
e-Print:
- hep-ph/9903375
•
DOI:
- 10.1016/S0550-3213(99)00339-9

1-25 of 31
1
2
25 / page