Ab-initio Gorkov-Green's function calculations of open-shell nuclei - INSPIRE

DataBETA

Ab-initio Gorkov-Green's function calculations of open-shell nuclei

V. Soma
(
- Darmstadt, Tech. U. and
- Darmstadt, EMMI
)
,
C. Barbieri
(
- Surrey U.
)
,
T. Duguet
(
)

Aug, 2012

5 pages

Published in:

Phys.Rev.C 87 (2013) 1, 011303

Published: Jan 24, 2013

e-Print:

1208.2472 [nucl-th]

DOI:

10.1103/PhysRevC.87.011303

View in:

reference search150 citations

Citations per year

Abstract: (APS)

We present results from a new ab initio method that uses the self-consistent Gorkov-Green's function theory to address truly open-shell systems. The formalism has been recently worked out up to second order and is implemented here in nuclei on the basis of realistic nuclear forces. Benchmark calculations indicate that the method is in agreement with other ab initio approaches in doubly closed shell 40Ca and 48Ca. We find good convergence of the results with respect to the basis size in 44Ca and 74Ni and discuss quantities of experimental interest including ground-state energies, pairing gaps, and particle addition and removal spectroscopy. These results demonstrate that the Gorkov method is a valid alternative to multireference approaches for tackling degenerate or near-degenerate quantum systems. In particular, it increases the number of mid-mass nuclei accessible in an ab initio fashion from a few tens to a few hundred.

Note:

5 pages, 3 figures

21.60.De
21.30.Fe
21.10.-k

References(29)

Figures(6)

[1]

Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions

G. Hagen
(
- Oak Ridge
)
,
T. Papenbrock
(
- Tennessee U. and
- Oak Ridge
)
,
D.J. Dean
(
- Oak Ridge
)
,
M. Hjorth-Jensen
(
- Oslo U.
)

- Phys.Rev.C 82 (2010) 034330
•
e-Print:
- 1005.2627
•
DOI:
- 10.1103/PhysRevC.82.034330

[2]

In-Medium Similarity Renormalization Group for Nuclei

K. Tsukiyama
(
- Tokyo U.
)
,
S.K. Bogner
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
A. Schwenk
(
- Darmstadt, EMMI and
- Darmstadt, Tech. U. and
- TRIUMF
)

- Phys.Rev.Lett. 106 (2011) 222502
•
e-Print:
- 1006.3639
•
DOI:
- 10.1103/PhysRevLett.106.222502

[3]

Quasiparticle and quasihole states of nuclei around Ni-56

C. Barbieri
(
- Nishina Ctr., RIKEN and
- Darmstadt, GSI
)
,
M. Hjorth-Jensen
(
- Oslo U.
)

- Phys.Rev.C 79 (2009) 064313
•
e-Print:
- 0902.3942
•
DOI:
- 10.1103/PhysRevC.79.064313

[4]

Evolution of shell structure in neutron-rich calcium isotopes

G. Hagen
(
- Oak Ridge and
- Tennessee U.
)
,
M. Hjorth-Jensen
(
- Oslo U. and
- Michigan State U., NSCL and
- Michigan State U.
)
,
G.R. Jansen
(
- Oslo U.
)
,
R. Machleidt
(
- Idaho U.
)
,
T. Papenbrock
(
- Tennessee U. and
- Oak Ridge
)

- Phys.Rev.Lett. 109 (2012) 032502
•
e-Print:
- 1204.3612
•
DOI:
- 10.1103/PhysRevLett.109.032502

[5]

Selfconsistent Green's function method for nuclei and nuclear matter

W.H. Dickhoff
(
- Washington U., St. Louis
)
,
C. Barbieri
(
- TRIUMF
)

- Prog.Part.Nucl.Phys. 52 (2004) 377-496
•
e-Print:
- nucl-th/0402034
•
DOI:
- 10.1016/j.ppnp.2004.02.038

[6]

Toward open-shell nuclei with coupled-cluster theory

G.R. Jansen
(
- Oslo U.
)
,
M. Hjorth-Jensen
(
- Oslo U.
)
,
G. Hagen
(
- Oak Ridge and
- Tennessee U.
)
,
T. Papenbrock
(
- Tennessee U. and
- Oak Ridge and
- Darmstadt, GSI and
- Darmstadt, Tech. Hochsch.
)

- Phys.Rev.C 83 (2011) 054306
•
e-Print:
- 1102.1293
•
DOI:
- 10.1103/PhysRevC.83.054306

[7]

Coupled-cluster method for multideterminantal reference states

Bogumil Jeziorski
(
- Florida U. and
- Warsaw U.
)
,
Hendrik J. Monkhorst
(
- Florida U.
)

- Phys.Rev.A 24 (1981) 1668-1681
•
DOI:
- 10.1103/PhysRevA.24.1668

[8]

Three-body forces and shell structure in calcium isotopes

Jason D. Holt
(
- Tennessee U. and
- Oak Ridge
)
,
Takaharu Otsuka
(
- Tokyo U. and
- Tokyo U., CNS and
- Michigan State U., NSCL
)
,
Achim Schwenk
(
- Darmstadt, EMMI and
- Darmstadt, GSI and
- Darmstadt, Tech. U.
)
,
Toshio Suzuki
(
- Nihon U., Tokyo
)

- J.Phys.G 39 (2012) 085111
•
e-Print:
- 1009.5984
•
DOI:
- 10.1088/0954-3899/39/8/085111

[9]

The Nuclear Many-Body Problem

P. Ring
,
P. Schuck

[10]

G.E. Scuseria
,
C.A. JimÃ©nez-Hoyos
,
T.M. Henderson
,
K. Samanta
,
J.K. Ellis

- J.Chem.Phys. 135 (2011) 124108

[11]

Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei. I. Formalism at second order with a two-nucleon interaction

V. Soma
(
- IRFU, Saclay
)
,
T. Duguet
(
- IRFU, Saclay and
- Michigan State U., NSCL and
- Michigan State U.
)
,
C. Barbieri
(
- Surrey U.
)

- Phys.Rev.C 84 (2011) 064317
•
e-Print:
- 1109.6230
•
DOI:
- 10.1103/PhysRevC.84.064317

[12]

L.P. Gorkov

- Sov.Phys.JETP 7 (1958) 505

[13]

Pairing in finite nuclei from low-momentum two- and three-nucleon interactions

T. Duguet
(
- IRFU, Saclay and
- Michigan State U., NSCL and
- Michigan State U.
)

e-Print:
- 1204.2737
•
DOI:
- 10.1142/9789814412490_0017

[14]

Conservation Laws and Correlation Functions

Gordon Baym
(
- Bohr Inst.
)
,
Leo P. Kadanoff
(
- Bohr Inst.
)

- Phys.Rev. 124 (1961) 287-299
•
DOI:
- 10.1103/PhysRev.124.287

[15]

Faddeev description of two hole one particle motion and the single particle spectral function

- Phys.Rev.C 63 (2001) 034313
•
e-Print:
- nucl-th/0012055
•
DOI:
- 10.1103/PhysRevC.63.034313

[16]

Accuracy of the Faddeev Random Phase Approximation for Light Atoms

- Phys.Rev.A 85 (2012) 012501
•
e-Print:
- 1004.2607
•
DOI:
- 10.1103/PhysRevA.85.012501

[17]

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

[18]

From low-momentum interactions to nuclear structure

S.K. Bogner
(
- Michigan State U. and
- Michigan State U., NSCL
)
,
R.J. Furnstahl
(
- Ohio State U.
)
,
A. Schwenk
(
- Darmstadt, Tech. U. and
- Darmstadt, GSI and
- Darmstadt, EMMI and
- TRIUMF
)

- Prog.Part.Nucl.Phys. 65 (2010) 94-147
•
e-Print:
- 0912.3688
•
DOI:
- 10.1016/j.ppnp.2010.03.001

[19]

A definition of the single-nucleon potential

Michel Baranger

- Nucl.Phys.A 149 (1970) 225-240
•
DOI:
- 10.1016/0375-9474(70)90692-5

[20]

Ab-initio approach to effective single-particle energies in doubly closed shell nuclei

T. Duguet
(
)
,
G. Hagen
(
- Oak Ridge and
- Tennessee U.
)

- Phys.Rev.C 85 (2012) 034330
•
e-Print:
- 1110.2468
•
DOI:
- 10.1103/PhysRevC.85.034330

[21]

(2012), in preparation

V. SomÃ
,
C. Barbieri
,
T. Duguet

[22]

Total Binding Energies of Nuclei, and Particle-Removal Experiments

D.S. Koltun
(
- Rochester U.
)

- Phys.Rev.Lett. 28 (1972) 182-185
•
DOI:
- 10.1103/PhysRevLett.28.182

[23]

Pairing correlations. Part 2. Microscopic analysis of odd even mass staggering in nuclei

- Phys.Rev.C 65 (2002) 014311
•
e-Print:
- nucl-th/0105050
•
DOI:
- 10.1103/PhysRevC.65.014311

[24]

F. Capuzzi
,
C. Mahaux

- Annals Phys. 245 (1996) 147

[25]

Microscopic self-energy calculations and dispersive optical-model potentials

S.J. Waldecker
(
- Washington U., St. Louis
)
,
C. Barbieri
(
- Technion and
- Surrey U. and
- Nishina Ctr., RIKEN
)
,
W.H. Dickhoff
(
- Washington U., St. Louis
)

- Phys.Rev.C 84 (2011) 034616
•
e-Print:
- 1105.4257
•
DOI:
- 10.1103/PhysRevC.84.034616

1-25 of 29
1
2
25 / page