Exact restoration of Galilei invariance in density functional calculations with quantum Monte Carlo

被引：7

作者：

Massella, P. ^{[1
]}

Barranco, F. ^{[2
]}

Lonardoni, D. ^{[3
,4
]}

Lovato, A. ^{[5
,6
]}

Pederiva, F. ^{[1
,5
]}

Vigezzi, E. ^{[7
]}

机构：

[1] Univ Trento, Phys Dept, Via Sommarive 14, I-38123 Trento, Italy

[2] Univ Seville, Dept Fis Aplicada 3, Escuela Super Ingn, Camino Descubrimientos, Seville, Spain

[3] Michigan State Univ, Facil Rare Isotope Beams, E Lansing, MI 48824 USA

[4] Los Alamos Natl Lab, Theoret Div, Los Alamos, NM 87545 USA

[5] INFN TIFPA Trento Inst Fundamental Phys & Applica, I-38123 Trento, Italy

[6] Argonne Natl Lab, Phys Div, 9700 S Cass Ave, Argonne, IL 60439 USA

[7] INFN, Sez Milano, Via Celoria 16, I-20133 Milan, Italy

来源：

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS | 2020年 / 47卷 / 03期

基金：

欧盟地平线“2020”;

关键词：

quantum Monte Carlo; density functional theory; Galilean invariance; density-dependent nuclear interactions; mean-field calculations; ELASTIC ELECTRON-SCATTERING; MANY-BODY PROBLEM; NUCLEAR-CHARGE DISTRIBUTIONS; LINEAR-MOMENTUM PROJECTION; HARTREE-FOCK CALCULATIONS; SPECTRAL FUNCTIONS; GROUND-STATE; PART II; ENERGIES; HE-4;

D O I：

10.1088/1361-6471/ab588c

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Galilean invariance is usually violated in self-consistent mean-field calculations that employ effective density-dependent nuclear forces. We present a novel approach, based on variational quantum Monte Carlo techniques, suitable to preserve this symmetry and assess the effect of its violation, seldom attempted in the past. To this aim, we generalize the linear optimization method to encompass the density-dependence of effective Hamiltonians, and study He-4, O-16, and Ca-40 ground-state properties employing the Gogny interaction.

引用

页数：21

共 69 条

[1] ELASTIC ELECTRON-SCATTERING FROM HE-3 AND HE-4 AT HIGH MOMENTUM-TRANSFER
ARNOLD, RG
CHERTOK, BT
ROCK, S
SCHUTZ, WP
SZALATA, ZM
DAY, D
MCCARTHY, JS
MARTIN, F
MECKING, BA
SICK, I
TAMAS, G
[J]. PHYSICAL REVIEW LETTERS, 1978, 40 (22) : 1429 - 1432
[2] Systematic study of infrared energy corrections in truncated oscillator spaces with Gogny energy density functionals
Arzhanov, Alexander
Rodriguez, Tomas R.
Martinez-Pinedo, Gabriel
[J]. PHYSICAL REVIEW C, 2016, 94 (05)
[3] State dependent effective interaction for the hyperspherical formalism
Barnea, N
Leidemann, W
Orlandini, G
[J]. PHYSICAL REVIEW C, 2000, 61 (05): : 10
[4] Ab Initio Description of the Exotic Unbound 7He Nucleus
Baroni, Simone
Navratil, Petr
Quaglioni, Sofia
[J]. PHYSICAL REVIEW LETTERS, 2013, 110 (02)
[5] Ab initio no core shell model
Barrett, Bruce R.
Navratil, Petr
Vary, James P.
[J]. PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2013, 69 : 131 - 181
[6] Self-consistent mean-field models for nuclear structure
Bender, M
Heenen, PH
Reinhard, PG
[J]. REVIEWS OF MODERN PHYSICS, 2003, 75 (01) : 121 - 180
[7] TIME-DEPENDENT QUANTUM COLLECTIVE DYNAMICS APPLIED TO NUCLEAR-FISSION
BERGER, JF
GIROD, M
GOGNY, D
[J]. COMPUTER PHYSICS COMMUNICATIONS, 1991, 63 (1-3) : 365 - 374
[8] Bohr A, 1965, NUCL STRUCTURE
[9] Briganti S, 1998, THESIS
[10] Quantum Monte Carlo methods for nuclear physics
Carlson, J.
Gandolfi, S.
Pederiva, F.
Pieper, Steven C.
Schiavilla, R.
Schmidt, K. E.
Wiringa, R. B.
[J]. REVIEWS OF MODERN PHYSICS, 2015, 87 (03) : 1067 - 1118

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