Pion-mediated Cooper pairing of neutrons: beyond the bare vertex approximation - INSPIRE

DataBETA

Pion-mediated Cooper pairing of neutrons: beyond the bare vertex approximation

Sep 21, 2022

27 pages

Published in:

J.Phys.G 50 (2023) 8, 085101,
J.Phys.G 50 (2023) 085101

Published: Jul 11, 2023

e-Print:

2209.10172 [nucl-th]

DOI:

10.1088/1361-6471/acdfec

View in:

reference search0 citations

Citations per year

0 Citations

Abstract: (IOP)

In some quantum many particle systems, the fermions could form Cooper pairs by exchanging intermediate bosons. This then drives a superconducting phase transition or a superfluid transition. Such transitions should be theoretically investigated by using proper non-perturbative methods. Here we take the neutron superfluid transition as an example and study the Cooper pairing of neutrons mediated by neutral π-mesons in the low-density region of a neutron matter. We perform a non-perturbative analysis of the neutron–meson coupling and compute the pairing gap Δ, the critical density ρ

_{c}

, and the critical temperature T

_{c}

by solving the Dyson–Schwinger equation of the neutron propagator. We first carry out calculations under the widely used bare vertex approximation and then incorporate the contribution of the lowest-order vertex correction. This vertex correction is not negligible even at low densities and its importance is further enhanced as the density increases. The transition critical line on density-temperature plane obtained under the bare vertex approximation is substantially changed after including the vertex correction. These results indicate that the vertex corrections play a significant role and need to be seriously taken into account.

Note:

27 pages, 7 figures

non-perturbative field theory
neutron–meson interaction
neutron superfluid
Dyson–Schwinger equation

References(50)

Figures(13)

[1]

Quantum Field Theory

C. Itzykson
,
J-B Zuber

[2]

Theoretical Nuclear and Subnuclear Physics

J.D. Walecka

[3]

Quantum Field Theoretical Methods in Statistical Physics

A.A. Abrikosov
,
L.P. Gor'kov
,
I.Y. Dzyaloshinskii

[4]

Theory of superconductivity

John Bardeen
(
- Illinois U., Urbana
)
,
L.N. Cooper
(
- Illinois U., Urbana
)
,
J.R. Schrieffer
(
- Illinois U., Urbana
)

- Phys.Rev. 108 (1957) 1175-1204
•
DOI:
- 10.1103/PhysRev.108.1175

[5]

A.B. Migdal

- Sov.Phys.JETP 10 (1960) 176

[6]

Dyson-Schwinger equations: Density, temperature and continuum strong QCD

Craig D. Roberts
(
- Argonne, PHY
)
,
Sebastian M. Schmidt
(
- Argonne, PHY
)

- Prog.Part.Nucl.Phys. 45 (2000) S1-S103
•
e-Print:
- nucl-th/0005064
•
DOI:
- 10.1016/S0146-6410(00)90011-5

[7]

G.M. Eliashberg
,
Sov Phys

- Sov.Phys.JETP 11 (1960) 696

[8]

A. Migdal
,
Sov Phys

- Sov.Phys.JETP 7 (1958) 996

[9]

The electron-phonon interaction and strong-coupling superconductivity

R.D. Parks
,
D.J. Scalapino
,
R.D. Parks

[10]

Solution of the Dyson equation for nucleons in the superfluid phase

J. Terasaki
(
- Milan U. and
- INFN, Milan
)
,
F. Barranco
(
- Seville U.
)
,
R.A. Broglia
(
- Milan U. and
- INFN, Milan and
- Bohr Inst.
)
,
E. Vigezzi
(
- INFN, Milan
)
,
P.F. Bortignon
(
- Milan U. and
- INFN, Milan
)

- Nucl.Phys.A 697 (2002) 127-140
•
e-Print:
- nucl-th/0012024
•
DOI:
- 10.1016/S0375-9474(01)01239-8

[11]

A. Sedrakian

- Astrophys.Space Sci. 236 (1996) 267
•
DOI:
- 10.1007/BF00645148

Proc. of the Int. Workshop Hirshegg '98, Nuclear Astrophysics

M. Buballa
,
A. Sedrakian
,
M. Buballa

[12]

M.N. Gastiasoro
,
J. Ruhman
,
R.M. Fernandes

- Annals Phys. 417 (2020) 168107
•
DOI:
- 10.1016/j.aop.2020.168107

[13]

Towards exact solutions for the superconducting $T_c$ induced by electron-phonon interaction

- Phys.Rev.B 103 (2021) 9, 094501
•
e-Print:
- 1911.05528
•
DOI:
- 10.1103/PhysRevB.103.094501

[14]

BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matters

Jerome Margueron
(
- Orsay, IPN and
- Aizu U.
)
,
Hiroyuki Sagawa
(
- Aizu U.
)
,
Kouichi Hagino
(
- Tohoku U.
)

- Phys.Rev.C 76 (2007) 064316
•
e-Print:
- 0710.4241
•
DOI:
- 10.1103/PhysRevC.76.064316

[15]

BCS-BEC Crossover and Thermodynamics in Asymmetric Nuclear Matter with Pairings in Isospin I=0 and I=1 Channels

Shijun Mao
(
- Tsinghua U., Beijing
)
,
Xuguang Huang
(
- Tsinghua U., Beijing and
- Frankfurt U., FIAS and
- Frankfurt U.
)
,
Pengfei Zhuang
(
- Tsinghua U., Beijing
)

- Phys.Rev.C 79 (2009) 034304
•
e-Print:
- 0812.0674
•
DOI:
- 10.1103/PhysRevC.79.034304

[16]

Relativistic description of BCS-BEC crossover in nuclear matter

Bao Yuan Sun
(
- Peking U. and
- Peking U., CAPT and
- Osaka U., Res. Ctr. Nucl. Phys.
)
,
Hiroshi Toki
(
- Osaka U., Res. Ctr. Nucl. Phys. and
- Peking U. and
- Peking U., CAPT
)
,
Jie Meng
(
- BeiHang U. and
- Peking U. and
- Peking U., CAPT and
- Stellenbosch U. and
- Beijing, Inst. Theor. Phys. and
- Natl. Lab. Heavy Ion Accel., Lanzhou
)

- Phys.Lett.B 683 (2010) 134-139
•
e-Print:
- 0911.2559
•
DOI:
- 10.1016/j.physletb.2009.11.065

[17]

BCS-BEC crossover in nuclear matter with the relativistic Hartree-Bogoliubov theory

Ting Ting Sun
(
- Peking U.
)
,
Bao Yuan Sun
(
- Lanzhou U. and
- Osaka U., Res. Ctr. Nucl. Phys. and
- Peking U.
)
,
Jie Meng
(
- Peking U. and
- BeiHang U. and
- Stellenbosch U.
)

- Phys.Rev.C 86 (2012) 014305
•
e-Print:
- 1206.3407
•
DOI:
- 10.1103/PhysRevC.86.014305

[18]

BCS-BEC crossovers and unconventional phases in dilute nuclear matter

Martin Stein
(
- Frankfurt U.
)
,
Armen Sedrakian
(
- Frankfurt U.
)
,
Xu-Guang Huang
(
- Fudan U.
)
,
John W. Clark
(
- Washington U., St. Louis and
- Madeira U.
)

- Phys.Rev.C 90 (2014) 6, 065804
•
e-Print:
- 1410.1053
•
DOI:
- 10.1103/PhysRevC.90.065804

[19]

Compact Stars

N.K. Glendenning

[20]

Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects

S.L. Shapiro
,
S.A. Teukolsky

[21]

Pairing and superfluidity of nucleons in neutron stars

K.H. Bennemann
,
J.B. Ketterson
,
D. Page
,
J.M. Lattimer
,
M. Prakash

et al.

[22]

Lecture Notes in Physics

U. Lombardo
,
H-J Schulze

[23]

Superfluidity in nuclear systems and neutron stars

Armen Sedrakian
(
- Frankfurt U., FIAS
)
,
John W. Clark
(
)

- Eur.Phys.J.A 55 (2019) 9, 167
•
e-Print:
- 1802.00017
•
DOI:
- 10.1140/epja/i2019-12863-6

[24]

Microscopic evaluation of the pairing gap

M. Baldo
(
- INFN, Catania
)
,
U. Lombardo
(
- INFN, LNS and
- Catania U.
)
,
S.S. Pankratov
(
- Kurchatov Inst., Moscow
)
,
E.E. Saperstein
(
- Kurchatov Inst., Moscow
)

- J.Phys.G 37 (2010) 064016
•
e-Print:
- 1001.0743
•
DOI:
- 10.1088/0954-3899/37/6/064016

1-25 of 50
1
2
25 / page