Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions

被引：265

作者：

Gezerlis, A. ^{[1
,2
]}

Tews, I. ^{[1
,2
]}

Epelbaum, E. ^{[3
]}

Gandolfi, S. ^{[4
]}

Hebeler, K. ^{[5
]}

Nogga, A. ^{[6
,7
]}

Schwenk, A. ^{[1
,2
]}

机构：

[1] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany

[2] GSI Helmholtzzentrum Schwerionenforsch GmbH, ExtreMe Matter Inst EMMI, D-64291 Darmstadt, Germany

[3] Ruhr Univ Bochum, Inst Theoret Phys 2, D-44780 Bochum, Germany

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

[5] Ohio State Univ, Dept Phys, Columbus, OH 43210 USA

[6] Forschungszentrum Julich, Inst Kernphys, Inst Adv Simulat, D-52425 Julich, Germany

[7] Forschungszentrum Julich, Julich Ctr Hadron Phys, D-52425 Julich, Germany

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 111卷 / 03期

基金：

欧洲研究理事会; 美国国家科学基金会;

关键词：

FORCES;

D O I：

10.1103/PhysRevLett.111.032501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the first quantum Monte Carlo (QMC) calculations with chiral effective field theory (EFT) interactions. To achieve this, we remove all sources of nonlocality, which hamper the inclusion in QMC calculations, in nuclear forces to next-to-next-to-leading order. We perform auxiliary-field diffusion Monte Carlo (AFDMC) calculations for the neutron matter energy up to saturation density based on local leading-order, next-to-leading order, and next-to-next-to-leading order nucleon-nucleon interactions. Our results exhibit a systematic order-by-order convergence in chiral EFT and provide nonperturbative benchmarks with theoretical uncertainties. For the softer interactions, perturbative calculations are in excellent agreement with the AFDMC results. This work paves the way for QMC calculations with systematic chiral EFT interactions for nuclei and nuclear matter, for testing the perturbativeness of different orders, and allows for matching to lattice QCD results by varying the pion mass.

引用

页数：6

共 58 条

[1] Ab initio no core shell model [J].

Barrett, Bruce R. ;

Navratil, Petr ;

Vary, James P. .

PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2013, 69 :131-181

[2] Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry [J].

Beane, S. R. ;

Chang, E. ;

Cohen, S. D. ;

Detmold, W. ;

Lin, H. W. ;

Luu, T. C. ;

Orginos, K. ;

Parreno, A. ;

Savage, M. J. ;

Walker-Loud, A. .

PHYSICAL REVIEW D, 2013, 87 (03)

[3] From low-momentum interactions to nuclear structure [J].

Bogner, S. K. ;

Furnstahl, R. J. ;

Schwenk, A. .

PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2010, 65 (01) :94-147

[4] Quantum Monte Carlo calculations of neutron matter [J].

Carlson, J ;

Morales, J ;

Pandharipande, VR ;

Ravenhall, DG .

PHYSICAL REVIEW C, 2003, 68 (02) :258021-2580213

[5] Quantum Monte Carlo approaches to nuclear and atomic physics [J].

Carlson, J. ;

Gandolfi, Stefano ;

Gezerlis, Alexandros .

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2012, 2012 (01)

[6] PATH-INTEGRALS IN THE THEORY OF CONDENSED HELIUM [J].

CEPERLEY, DM .

REVIEWS OF MODERN PHYSICS, 1995, 67 (02) :279-355

[7] Improving the convergence of the chiral expansion for nuclear forces -: I:: Peripheral phases [J].

Epelbaum, E ;

Glöckle, W ;

Meissner, UG .

EUROPEAN PHYSICAL JOURNAL A, 2004, 19 (01) :125-137

[8] The two-nucleon system at next-to-next-to-next-to-leading order [J].

Epelbaum, E ;

Glöckle, W ;

Meissner, UG .

NUCLEAR PHYSICS A, 2005, 747 (2-4) :362-424

[9] Modern theory of nuclear forces [J].

Epelbaum, E. ;

Hammer, H. -W. ;

Meissner, Ulf-G .

REVIEWS OF MODERN PHYSICS, 2009, 81 (04) :1773-1825

[10] Ground-state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory [J].

Epelbaum, E. ;

Krebs, H. ;

Lee, D. ;

Meissner, U. -G. .

EUROPEAN PHYSICAL JOURNAL A, 2009, 40 (02) :199-213

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