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Towards a model independent low momentum nucleon nucleon interaction

Aug, 2001

4 pages

Published in:

Phys.Lett.B 576 (2003) 265-272

e-Print:

nucl-th/0108041 [nucl-th]

DOI:

10.1016/j.physletb.2003.10.012

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Abstract:

We provide evidence for a high precision model-independent low momentum nucleon-nucleon interaction. Performing a momentum-space renormalization group decimation, we find that the effective interactions constructed from various high precision nucleon-nucleon interaction models, such as the Paris, Bonn, Nijmegen, Argonne, CD Bonn and Idaho potentials, are identical. This model-independent low momentum interaction, called V_{low k}, reproduces the same phase shifts and deuteron pole as the input potential models, without ambiguous assumptions on the high momentum components, which are not constrained by low energy data and lead to model-dependent results in many-body applications. V_{low k} is energy-independent and does not necessitate the calculation of the Brueckner G matrix.

21.30.Cb
21.60.-n
21.30.Fe
11.10.Hi
Nucleon–nucleon interaction
Effective interactions
Renormalization group
nucleon nucleon: interaction
effective potential
partial wave

References(23)

Figures(0)

The Bonn Meson Exchange Model for the Nucleon Nucleon Interaction

R. Machleidt
(
- Los Alamos and
- UCLA
)
,
K. Holinde
(
- Bonn U.
)
,
C. Elster
(
- Bonn U.
)

- Phys.Rept. 149 (1987) 1-89,
- Phys. Rep. 149 ( 1987) 1-89
•
DOI:
- 10.1016/S0370-1573(87)80002-9

Parametrization of the Paris n n Potential

M. Lacombe
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
B. Loiseau
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
J.M. Richard
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
R. Vinh Mau
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
J. Cote
(
- Orsay, IPN and
- Paris U., VI-VII
)

et al.

- Phys.Rev.C 21 (1980) 861-873
•
DOI:
- 10.1103/PhysRevC.21.861

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

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

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

Effective field theory for low-energy two nucleon systems

Tae-Sun Park
(
- Seoul Natl. U.
)
,
Kuniharu Kubodera
(
- South Carolina U.
)
,
Dong-Pil Min
(
- Seoul Natl. U.
)
,
Mannque Rho
(
- Saclay
)

- Phys.Rev.C 58 (1998) R637-R640
•
e-Print:
- hep-ph/9711463
•
DOI:
- 10.1103/PhysRevC.58.R637

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

Chiral Symmetry and the Nucleon-nucleon Interaction: Developing an Accurate NN Potential Based Upon Chiral Effective Field Theory

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

How to renormalize the Schrodinger equation

G.P. Lepage
(
- Cornell U., LNS
)

•
e-Print:
- nucl-th/9706029

The Renormalization group and the epsilon expansion

- Phys.Rept. 12 (1974) 75-199
•
DOI:
- 10.1016/0370-1573(74)90023-4

- Lect.Notes Phys. 364 1

Realistic effective interactions for nuclear systems

- Phys.Rept. 261 (1995) 125-270
•
DOI:
- 10.1016/0370-1573(95)00012-6

- Phys.Lett.B 599 279

Convergent Theory for Effective Interaction in Nuclei

K. Suzuki
,
S.Y. Lee

- Prog.Theor.Phys. 64 (1980) 2091-2106
•
DOI:
- 10.1143/PTP.64.2091

A New approach to shell model effective interactions based on low momentum nucleon-nucleon potential

Scott Bogner
(
- SUNY, Stony Brook
)
,
T.T.S. Kuo
(
- SUNY, Stony Brook
)
,
L. Coraggio
(
- Naples U. and
- INFN, Naples
)
,
A. Covello
(
- Naples U. and
- INFN, Naples
)
,
N. Itaco
(
- Naples U. and
- INFN, Naples
)

e-Print:
- nucl-th/0108040

Nonperturbative derivation of non-Hermitian and Hermitian effective interactions and operators

Francesco Andreozzi
(
- Naples U. and
- Unlisted
)

- Phys.Rev.C 54 (1996) 684-689
•
DOI:
- 10.1103/PhysRevC.54.684

Low momentum nucleon-nucleon potential and shell model effective interactions

Scott Bogner
(
- SUNY, Stony Brook
)
,
T.T.S. Kuo
(
- SUNY, Stony Brook
)
,
L. Coraggio
(
- Naples U. and
- INFN, Naples
)
,
A. Covello
(
- Naples U. and
- INFN, Naples
)
,
N. Itaco
(
- Naples U. and
- INFN, Naples
)

- Phys.Rev.C 65 (2002) 051301
•
e-Print:
- nucl-th/9912056
•
DOI:
- 10.1103/PhysRevC.65.051301

Renormalization group equation for low momentum effective nuclear interactions

e-Print:
- nucl-th/0111042

A Renormalization group treatment of two-body scattering

Michael C. Birse
(
- Manchester U.
)
,
Judith A. McGovern
(
- Manchester U.
)
,
Keith G. Richardson
(
- Manchester U.
)

- Phys.Lett.B 464 (1999) 169-176
•
e-Print:
- hep-ph/9807302
•
DOI:
- 10.1016/S0370-2693(99)00991-0

Model independent low momentum nucleon interaction from phase shift equivalence

S.K. Bogner
(
- Washington U., Seattle and
- SUNY, Stony Brook
)
,
T.T.S. Kuo
(
- SUNY, Stony Brook
)
,
A. Schwenk
(
- Ohio State U. and
- SUNY, Stony Brook
)

- Phys.Rept. 386 (2003) 1-27
•
e-Print:
- nucl-th/0305035
•
DOI:
- 10.1016/j.physrep.2003.07.001

- Nucl.Phys.B 645 413

Low momentum nucleon-nucleon interaction and Fermi liquid theory

Achim Schwenk
(
- SUNY, Stony Brook
)
,
Gerald E. Brown
(
- SUNY, Stony Brook
)
,
Bengt Friman
(
- Darmstadt, GSI
)

- Nucl.Phys.A 703 (2002) 745-769
•
e-Print:
- nucl-th/0109059
•
DOI:
- 10.1016/S0375-9474(01)01673-6

Renormalization group approach to neutron matter: Quasiparticle interactions, superfluid gaps and the equation of state

- Nucl.Phys.A 713 (2003) 191-216
•
e-Print:
- nucl-th/0207004
•
DOI:
- 10.1016/S0375-9474(02)01290-3