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Non-perturbative methods for a chiral effective field theory of finite density nuclear systems

A. Lacour
(
- Bonn U., HISKP
)
,
J.A. Oller
(
- Murcia U.
)
,
U.-G. Meissner
(
- Bonn U., HISKP and
- Julich, Forschungszentrum
)

Jun, 2009

47 pages

Published in:

Annals Phys. 326 (2011) 241-306

e-Print:

0906.2349 [nucl-th]

DOI:

10.1016/j.aop.2010.06.012

Report number:

HISKP-TH-09-20,
FZJ-IKP-TH-2009-18

View in:

ADS Abstract Service

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Abstract: (arXiv)

Recently we have developed a novel chiral power counting scheme for an effective field theory of nuclear matter with nucleons and pions as degrees of freedom [1]. It allows for a systematic expansion taking into account both local as well as pion-mediated multi-nucleon interactions. We apply this power counting in the present study to the evaluation of the pion self-energy and the energy density in nuclear and neutron matter at next-to-leading order. To implement this power counting in actual calculations we develop here a non-perturbative method based on Unitary Chiral Perturbation Theory for performing the required resummations. We show explicitly that the contributions to the pion self-energy with in-medium nucleon-nucleon interactions to this order cancel. The main trends for the energy density of symmetric nuclear and neutron matter are already reproduced at next-to-leading order. In addition, an accurate description of the neutron matter equation of state, as compared with sophisticated many-body calculations, is obtained by varying only slightly a subtraction constant around its expected value. The case of symmetric nuclear matter requires the introduction of an additional fine-tuned subtraction constant, parameterizing the effects from higher order contributions. With that, the empirical saturation point and the nuclear matter incompressiblity are well reproduced while the energy per nucleon as a function of density closely agrees with sophisticated calculations in the literature.

Note:

66 pages, 27 figures, 1 Table. Version to be published. New results are included

Chiral perturbation theory
Chiral effective field theories for nuclear matter
Non-perturbative methods
Partial wave expansion
Nuclear matter energy
pi: propagator
effective field theory: chiral
perturbation theory: chiral
nuclear matter: asymmetry
nucleon nucleon: interaction

References(102)

Figures(22)

Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions

J.A. Oller
(
- Murcia U.
)
,
A. Lacour
(
- Bonn U., HISKP
)
,
U.-G. Meissner
(
- Bonn U., HISKP and
- Julich, Forschungszentrum
)

- J.Phys.G 37 (2010) 015106
•
e-Print:
- 0902.1986
•
DOI:
- 10.1088/0954-3899/37/1/015106

Phenomenological Lagrangians

Steven Weinberg
(
- Harvard U. and
- Harvard-Smithsonian Ctr. Astrophys.
)

- Physica A 96 (1979) 1-2, 327-340
•
DOI:
- 10.1016/0378-4371(79)90223-1

Nuclear forces from chiral Lagrangians

Steven Weinberg
(
- Texas U.
)

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

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

The Two nucleon potential from chiral Lagrangians

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

- Phys.Rev.C 53 (1996) 2086-2105
•
e-Print:
- hep-ph/9511380
•
DOI:
- 10.1103/PhysRevC.53.2086

Effective field theory of nuclear forces

U. van Kolck
(
- Caltech, Kellogg Lab
)

- Prog.Part.Nucl.Phys. 43 (1999) 337-418
•
e-Print:
- nucl-th/9902015
•
DOI:
- 10.1016/S0146-6410(99)00097-6

Relativistic nuclear structure. 1: Nuclear matter

R. Brockmann
(
- Mainz U., Inst. Phys.
)
,
R. Machleidt
(
- Idaho U.
)

- Phys.Rev.C 42 (1990) 1965-1980
•
DOI:
- 10.1103/PhysRevC.42.1965

The Equation of state of nucleon matter and neutron star structure

A. Akmal
(
- Illinois U., Urbana
)
,
V.R. Pandharipande
(
- Illinois U., Urbana
)
,
D.G. Ravenhall
(
- Illinois U., Urbana
)

- Phys.Rev.C 58 (1998) 1804-1828
•
e-Print:
- nucl-th/9804027
•
DOI:
- 10.1103/PhysRevC.58.1804

- Nucl.Phys.A 627 4396

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

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

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

The Three nucleon and four nucleon systems from chiral effective field theory

E. Epelbaum
(
- Julich, Forschungszentrum
)
,
H. Kamada
(
- Julich, Forschungszentrum and
- Ruhr U., Bochum
)
,
A. Nogga
(
- Ruhr U., Bochum
)
,
H. Witala
(
- Jagiellonian U.
)
,
Walter Gloeckle
(
- Ruhr U., Bochum
)

et al.

- Phys.Rev.Lett. 86 (2001) 4787-4790
•
e-Print:
- nucl-th/0007057
•
DOI:
- 10.1103/PhysRevLett.86.4787

Monopole giant resonances and nuclear compressibility in relativistic mean field theory

- Nucl.Phys.A 621 (1997) 853-878
•
e-Print:
- nucl-th/9612042
•
DOI:
- 10.1016/S0375-9474(97)00192-9

Few-nucleon forces and systems in chiral effective field theory

Evgeny Epelbaum
(
- Jefferson Lab
)

- Prog.Part.Nucl.Phys. 57 (2006) 654-741
•
e-Print:
- nucl-th/0509032
•
DOI:
- 10.1016/j.ppnp.2005.09.002

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

A New expansion for nucleon-nucleon interactions

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

- Phys.Lett.B 424 (1998) 390-396
•
e-Print:
- nucl-th/9801034
•
DOI:
- 10.1016/S0370-2693(98)00210-X

NNLO corrections to nucleon-nucleon scattering and perturbative pions

Sean Fleming
(
- Toronto U.
)
,
Thomas Mehen
(
- Caltech
)
,
Iain W. Stewart
(
- Caltech and
- UC, San Diego
)

- Nucl.Phys.A 677 (2000) 313-366
•
e-Print:
- nucl-th/9911001
•
DOI:
- 10.1016/S0375-9474(00)00221-9

The N N scattering 3S1 - 3D1 mixing angle at NNLO

- Phys.Rev.C 61 (2000) 044005
•
e-Print:
- nucl-th/9906056
•
DOI:
- 10.1103/PhysRevC.61.044005

Towards a perturbative theory of nuclear forces

S.R. Beane
(
- Washington U., Seattle
)
,
Paulo F. Bedaque
(
- LBL, Berkeley
)
,
M.J. Savage
(
- LBL, Berkeley and
- Jefferson Lab
)
,
U. van Kolck
(
- Arizona U. and
- RIKEN BNL
)

- Nucl.Phys.A 700 (2002) 377-402
•
e-Print:
- nucl-th/0104030
•
DOI:
- 10.1016/S0375-9474(01)01324-0

Renormalization of one-pion exchange and power counting

A. Nogga
(
- Julich, Forschungszentrum
)
,
R.G.E. Timmermans
(
- Groningen, KVI
)
,
U. van Kolck
(
- Arizona U.
)

- Phys.Rev.C 72 (2005) 054006
•
e-Print:
- nucl-th/0506005
•
DOI:
- 10.1103/PhysRevC.72.054006

On the Renormalization of the One-Pion Exchange Potential and the Consistency of Weinberg`s Power Counting

E. Epelbaum
(
- Ruhr U., Bochum (main)
)
,
U.-G. Meissner
(
- Bonn U., HISKP and
- Julich, Forschungszentrum
)

- Few Body Syst. 54 (2013) 2175-2190
•
e-Print:
- nucl-th/0609037
•
DOI:
- 10.1007/s00601-012-0492-1

Renormalization of NN-scattering with one pion exchange and boundary conditions

M. Pavon Valderrama
(
- Granada U.
)
,
E. Ruiz Arriola
(
- Granada U.
)

- Phys.Rev.C 70 (2004) 044006
•
e-Print:
- nucl-th/0405057
•
DOI:
- 10.1103/PhysRevC.70.044006

Regularization, renormalization and 'peratization' in effective field theory for two nucleons

E. Epelbaum
(
- Julich, Forschungszentrum and
- JCHP, Julich and
- Bonn U., HISKP
)
,
J. Gegelia
(
- Mainz U., Inst. Kernphys. and
- Tbilisi State U.
)

- Eur.Phys.J.A 41 (2009) 341-354
•
e-Print:
- 0906.3822
•
DOI:
- 10.1140/epja/i2009-10833-3

Effective field theory with dibaryon degrees of freedom

Joan Soto
(
- Barcelona U., ECM and
- Barcelona U.
)
,
Jaume Tarrus
(
- Barcelona U., ECM and
- Barcelona U.
)

- Phys.Rev.C 78 (2008) 024003
•
e-Print:
- 0712.3404
•
DOI:
- 10.1103/PhysRevC.78.024003

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