Composite vector particles in external electromagnetic fields

Davoudi, Zohreh; Detmold, William

doi:10.1103/physrevd.93.014509

Title: Composite vector particles in external electromagnetic fields

Journal Article · Mon Jan 25 00:00:00 EST 2016 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.93.014509· OSTI ID:1505584

Davoudi, Zohreh ^[1]; Detmold, William ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We report that lattice quantum chromodynamics (QCD) studies of electromagnetic properties of hadrons and light nuclei, such as magnetic moments and polarizabilities, have proven successful with the use of background field methods. With an implementation of nonuniform background electromagnetic fields, properties such as charge radii and higher electromagnetic multipole moments (for states of higher spin) can additionally be obtained. This can be achieved by matching lattice QCD calculations to a corresponding low-energy effective theory that describes the static and quasistatic responses of hadrons and nuclei to weak external fields. With particular interest in the case of vector mesons and spin-1 nuclei such as the deuteron, we present an effective field theory of spin-1 particles coupled to external electromagnetic fields. To constrain the charge radius and the electric quadrupole moment of the composite spin-1 field, the single-particle Green’s functions in a linearly varying electric field in space are obtained within the effective theory, providing explicit expressions that can be used to match directly onto lattice QCD correlation functions. Lastly, the viability of an extraction of the charge radius and the electric quadrupole moment of the deuteron from the upcoming lattice QCD calculations of this nucleus is discussed.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010495; SC0011090

OSTI ID:: 1505584

Alternate ID(s):: OSTI ID: 1235964

Journal Information:: Physical Review. D., Vol. 93, Issue 1; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

References (72)

Relativistic spin-1 bosons in a magnetic field Daicic, J.; Frankel, N. E. Journal of Physics A: Mathematical and General, Vol. 26, Issue 6 https://doi.org/10.1088/0305-4470/26/6/021	journal	March 1993
Nucleon-nucleon effective field theory without pions Chen, Jiunn-Wei; Rupak, Gautam; Savage, Martin J. Nuclear Physics A, Vol. 653, Issue 4 https://doi.org/10.1016/S0375-9474(99)00298-5	journal	July 1999
On the extraction of zero momentum form factors on the lattice de Divitiis, G. M.; Petronzio, R.; Tantalo, N. Physics Letters B, Vol. 718, Issue 2 https://doi.org/10.1016/j.physletb.2012.10.035	journal	December 2012
Quadrupole interaction of relativistic quantum particle with external fields Pomeransky, A. A.; Sen'kov, R. A. Physics Letters B, Vol. 468, Issue 3-4 https://doi.org/10.1016/S0370-2693(99)01234-4	journal	December 1999
On The Characteristic Matrices of Covariant Systems Duffin, R. J. Physical Review, Vol. 54, Issue 12 https://doi.org/10.1103/PhysRev.54.1114	journal	December 1938
Neutron in a strong magnetic field: Finite volume effects Tiburzi, Brian C. Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074019	journal	April 2014
Hadronic vacuum polarization and muon $g - 2$ from magnetic susceptibilities on the lattice Bali, Gunnar S.; Endrődi, Gergely Physical Review D, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevD.92.054506	journal	September 2015
Propagators of charged particles in an external magnetic field, expanded over Landau levels Kuznetsov, A. V.; Okrugin, A. A.; Shitova, A. M. International Journal of Modern Physics A, Vol. 30, Issue 24 https://doi.org/10.1142/S0217751X15501407	journal	August 2015
The proton radius puzzle Carlson, Carl E. Progress in Particle and Nuclear Physics, Vol. 82 https://doi.org/10.1016/j.ppnp.2015.01.002	journal	May 2015
Vector meson form factors and their quark-mass dependence Bhagwat, M. S.; Maris, P. Physical Review C, Vol. 77, Issue 2 https://doi.org/10.1103/PhysRevC.77.025203	journal	February 2008
Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei Davoudi, Zohreh; Savage, Martin J. Physical Review D, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevD.90.054503	journal	September 2014
Consistency of spin-1 theories in external electromagnetic fields Vijayalakshmi, B.; Seetharaman, M.; Mathews, P. M. Journal of Physics A: Mathematical and General, Vol. 12, Issue 5 https://doi.org/10.1088/0305-4470/12/5/015	journal	May 1979
Perturbative calculation of the electromagnetic form factors of the deuteron Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Physical Review C, Vol. 59, Issue 2 https://doi.org/10.1103/PhysRevC.59.617	journal	February 1999
Intrinsic cutoff and acausality for massive spin 2 fields coupled to electromagnetism Porrati, Massimo; Rahman, Rakibur Nuclear Physics B, Vol. 801, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2008.05.013	journal	September 2008
Third-order spin polarizabilities of the nucleon Ragusa, Silvestre Physical Review D, Vol. 47, Issue 9 https://doi.org/10.1103/PhysRevD.47.3757	journal	May 1993
Some Generalizations of the Foldy-Wouthuysen Transformation Case, K. M. Physical Review, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRev.95.1323	journal	September 1954
Two-nucleon systems in a finite volume: Quantization conditions Briceño, Raúl; Davoudi, Zohreh; Luu, Thomas Physical Review D, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevD.88.034502	journal	August 2013
Electromagnetic Properties of a Charged Vector Meson Young, James A.; Bludman, Sidney A. Physical Review, Vol. 131, Issue 5 https://doi.org/10.1103/PhysRev.131.2326	journal	September 1963
On Gauge Invariance and Vacuum Polarization Schwinger, Julian Physical Review, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRev.82.664	journal	June 1951
Leading isospin breaking effects on the lattice de Divitiis, G. M.; Frezzotti, R.; Lubicz, V. Physical Review D, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevD.87.114505	journal	June 2013
Effective lagrangians for bound state problems in QED, QCD, and other field theories Caswell, W. E.; Lepage, G. P. Physics Letters B, Vol. 167, Issue 4 https://doi.org/10.1016/0370-2693(86)91297-9	journal	February 1986
Reconciling the lattice background field method with nonrelativistic QED: Spinor case Lee, Jong-Wan; Tiburzi, Brian C. Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074036	journal	October 2014
The proton and neutron magnetic moments in lattice QCD Martinelli, G.; Parisi, G.; Petronzio, R. Physics Letters B, Vol. 116, Issue 6 https://doi.org/10.1016/0370-2693(82)90162-9	journal	October 1982
Magnetic structure of light nuclei from lattice QCD Chang, Emmanuel; Detmold, William; Orginos, Kostas Physical Review D, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevD.92.114502	journal	December 2015
Quantum-mechanical description of spin-1 particles with electric dipole moments Silenko, Alexander J. Physical Review D, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevD.87.073015	journal	April 2013
Flavor singlet physics in lattice QCD with background fields Detmold, W. Physical Review D, Vol. 71, Issue 5 https://doi.org/10.1103/PhysRevD.71.054506	journal	March 2005
Magnetic polarizability of hadrons from lattice QCD in the background field method Lee, Frank X.; Zhou, Leming; Wilcox, Walter Physical Review D, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevD.73.034503	journal	February 2006
Lattice calculation of the magnetic moments of $Δ$ and $Ω^{-}$ baryons with dynamical clover fermions Aubin, C.; Orginos, K.; Pascalutsa, V. Physical Review D, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevD.79.051502	journal	March 2009
Nonrelativistic QED and next-to-leading hyperfine splitting in positronium Labelle, P.; Zebarjad, S. M.; Burgess, C. P. Physical Review D, Vol. 56, Issue 12 https://doi.org/10.1103/PhysRevD.56.8053	journal	December 1997
Electric polarizability of neutral hadrons from dynamical lattice QCD ensembles Lujan, M.; Alexandru, A.; Freeman, W. Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074506	journal	April 2014
ρ-meson form factors and QCD sum rules Braguta, V. V.; Onishchenko, A. I. Physical Review D, Vol. 70, Issue 3 https://doi.org/10.1103/PhysRevD.70.033001	journal	August 2004
$1 + 1 + 1$ flavor $QCD + QED$ simulation at the physical point Aoki, S.; Ishikawa, K. -I.; Ishizuka, N. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.034507	journal	August 2012
Implementation of general background electromagnetic fields on a periodic hypercubic lattice Davoudi, Zohreh; Detmold, William Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074506	journal	October 2015
Ab initio calculation of the neutron-proton mass difference Borsanyi, S.; Durr, S.; Fodor, Z. Science, Vol. 347, Issue 6229 https://doi.org/10.1126/science.1257050	journal	March 2015
Equations of motion of a spinning relativistic particle in external fields Pomeranskii, A. A.; Khriplovich, I. B. Journal of Experimental and Theoretical Physics, Vol. 86, Issue 5 https://doi.org/10.1134/1.558554	journal	May 1998
A magnetic condensate solution of the classical electroweak theory Ambjørn, J.; Olesen, P. Physics Letters B, Vol. 218, Issue 1 https://doi.org/10.1016/0370-2693(89)90476-0	journal	February 1989
Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD Blum, Thomas; Chowdhury, Saumitra; Hayakawa, Masashi Physical Review Letters, Vol. 114, Issue 1 https://doi.org/10.1103/PhysRevLett.114.012001	journal	January 2015
The Electromagnetic Properties of Mesotrons Corben, H. C.; Schwinger, Julian Physical Review, Vol. 58, Issue 11 https://doi.org/10.1103/PhysRev.58.953	journal	December 1940
A new expansion for nucleon-nucleon interactions Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Physics Letters B, Vol. 424, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00210-X	journal	April 1998
Spontaneous Electromagnetic Superconductivity of Vacuum in a Strong Magnetic Field: Evidence from the Nambu–Jona-Lasinio Model Chernodub, M. N. Physical Review Letters, Vol. 106, Issue 14 https://doi.org/10.1103/PhysRevLett.106.142003	journal	April 2011
Muonic Hydrogen and the Proton Radius Puzzle Pohl, Randolf; Gilman, Ronald; Miller, Gerald A. Annual Review of Nuclear and Particle Science, Vol. 63, Issue 1 https://doi.org/10.1146/annurev-nucl-102212-170627	journal	October 2013
A study of hadron electric polarizability in quenched lattice QCD Fiebig, H. R.; Wilcox, W.; Woloshyn, R. M. Nuclear Physics B, Vol. 324, Issue 1 https://doi.org/10.1016/0550-3213(89)90180-6	journal	September 1989
Erratum: Extrapolations of lattice meson form factors [Phys. Rev. D 74 , 034514 (2006)] Bunton, T. Brian; Jiang, Fu-Jiun; Tiburzi, Brian C. Physical Review D, Vol. 74, Issue 9 https://doi.org/10.1103/PhysRevD.74.099902	journal	November 2006
Two nucleon systems at $m_{π} \sim 450 MeV$ from lattice QCD Orginos, Kostas; Parreño, Assumpta; Savage, Martin J. Physical Review D, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevD.92.114512	journal	December 2015
Volume effects for pion two-point functions in constant electric and magnetic fields Tiburzi, Brian C. Physics Letters B, Vol. 674, Issue 4-5 https://doi.org/10.1016/j.physletb.2009.03.040	journal	April 2009
Quantum-Mechanical Description of the Electromagnetic Interaction of Relativistic Particles with Electric and Magnetic Dipole Moments Silenko, A. Ya. Russian Physics Journal, Vol. 48, Issue 8 https://doi.org/10.1007/s11182-005-0203-1	journal	August 2005
Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions Blum, Thomas; Doi, Takumi; Hayakawa, Masashi Physical Review D, Vol. 76, Issue 11 https://doi.org/10.1103/PhysRevD.76.114508	journal	December 2007
Electromagnetic and spin polarizabilities in lattice QCD Detmold, W.; Tiburzi, B. C.; Walker-Loud, A. Physical Review D, Vol. 73, Issue 11 https://doi.org/10.1103/PhysRevD.73.114505	journal	June 2006
QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons Uno, S.; Hayakawa, M. Progress of Theoretical Physics, Vol. 120, Issue 3 https://doi.org/10.1143/PTP.120.413	journal	September 2008
Baryon magnetic moments in the background field method Lee, F. X.; Kelly, R.; Zhou, L. Physics Letters B, Vol. 627, Issue 1-4 https://doi.org/10.1016/j.physletb.2005.08.106	journal	October 2005
Method to extract charged hadron properties from lattice QCD in magnetic fields Tiburzi, B. C.; Vayl, S. O. Physical Review D, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevD.87.054507	journal	March 2013
An Electrical Quadrupole Moment of the Deuteron The Radiofrequency Spectra of HD and $D_{2}$ Molecules in a Magnetic Field Kellogg, J. M. B.; Rabi, I. I.; Ramsey, N. F. Physical Review, Vol. 57, Issue 8 https://doi.org/10.1103/PhysRev.57.677	journal	April 1940
The particle aspect of meson theory Kemmer, Nicholas Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 173, Issue 952, p. 91-116 https://doi.org/10.1098/rspa.1939.0131	journal	November 1939
Relativistic dynamics of spin-one particles and deuteron-nucleus scattering Santos, F. D.; van Dam, H. Physical Review C, Vol. 34, Issue 1 https://doi.org/10.1103/PhysRevC.34.250	journal	July 1986
Two-nucleon systems from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00440-4	journal	November 1998
Electroweak matrix elements in the two-nucleon sector from lattice QCD Detmold, William; Savage, Martin J. Nuclear Physics A, Vol. 743, Issue 1-3 https://doi.org/10.1016/j.nuclphysa.2004.07.007	journal	October 2004
Background electromagnetic fields and nonrelativistic QED matching: Scalar case Lee, Jong-Wan; Tiburzi, Brian C. Physical Review D, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevD.89.054017	journal	March 2014
Electromagnetic mass splittings of the low lying hadrons and quark masses from $2 + 1$ flavor lattice $QCD + QED$ Blum, Tom; Zhou, Ran; Doi, Takumi Physical Review D, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevD.82.094508	journal	November 2010
Lattice Quantum-Chromodynamics Calculation of Some Baryon Magnetic Moments Bernard, Claude; Draper, Terrence; Olynyk, Kirk Physical Review Letters, Vol. 49, Issue 15 https://doi.org/10.1103/PhysRevLett.49.1076	journal	October 1982
Magnetic properties of the nucleon in a uniform background field Primer, Thomas; Kamleh, Waseem; Leinweber, Derek Physical Review D, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevD.89.034508	journal	February 2014
Electromagnetic form factors of the $ρ$ meson in light cone QCD sum rules Aliev, T. M.; Savcı, M. Physical Review D, Vol. 70, Issue 9 https://doi.org/10.1103/PhysRevD.70.094007	journal	November 2004
Electromagnetic structure of the $ρ$ mesonin the light-front quark model Choi, Ho-Meoyng; Ji, Chueng-Ryong Physical Review D, Vol. 70, Issue 5 https://doi.org/10.1103/PhysRevD.70.053015	journal	September 2004
On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit Foldy, Leslie L.; Wouthuysen, Siegfried A. Physical Review, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRev.78.29	journal	April 1950
On electroweak magnetism Ambjørn, J.; Olesen, P. Nuclear Physics B, Vol. 315, Issue 3 https://doi.org/10.1016/0550-3213(89)90004-7	journal	March 1989
Extracting electric polarizabilities from lattice QCD Detmold, W.; Tiburzi, B. C.; Walker-Loud, A. Physical Review D, Vol. 79, Issue 9 https://doi.org/10.1103/PhysRevD.79.094505	journal	May 2009
Extracting nucleon magnetic moments and electric polarizabilities from lattice QCD in background electric fields Detmold, W.; Tiburzi, B. C.; Walker-Loud, A. Physical Review D, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevD.81.054502	journal	March 2010
Electric polarizability of neutral hadrons from lattice QCD Christensen, Joe; Wilcox, Walter; Lee, Frank X. Physical Review D, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevD.72.034503	journal	August 2005
Two-nucleon systems in a finite volume. II. ${}^{3}S_{1} − {}^{3}D_{1}$ coupled channels and the deuteron Briceño, Raúl A.; Davoudi, Zohreh; Luu, Thomas C. Physical Review D, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevD.88.114507	journal	December 2013
Magnetic Moments of Light Nuclei from Lattice Quantum Chromodynamics Beane, S. R.; Chang, E.; Cohen, S. Physical Review Letters, Vol. 113, Issue 25 https://doi.org/10.1103/PhysRevLett.113.252001	journal	December 2014
Nuclear sizes and the isotope shift Friar, J. L.; Martorell, J.; Sprung, D. W. L. Physical Review A, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevA.56.4579	journal	December 1997
Kaon Thresholds and Two-Flavor Chiral Expansions for Hyperons Jiang, Fu-Jiun; Tiburzi, Brian C.; Walker-Loud, Andre arXiv https://doi.org/10.48550/arxiv.0911.4721	text	January 2009
Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions Tiburzi, Brian C. arXiv https://doi.org/10.48550/arxiv.1503.06329	text	January 2015

Similar Records

Implementation of general background electromagnetic fields on a periodic hypercubic lattice

Journal Article · Mon Oct 19 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1505584

Davoudi, Zohreh; Detmold, William

Magnetic structure of light nuclei from lattice QCD

Journal Article · Wed Dec 09 00:00:00 EST 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1505584

Chang, Emmanuel; Detmold, William; Orginos, Kostas; +4 more

Double-

β

decay matrix elements from lattice quantum chromodynamics

Journal Article · Mon Sep 11 00:00:00 EDT 2017 · Physical Review D · OSTI ID:1505584

Tiburzi, Brian C.; Wagman, Michael L.; Winter, Frank; +6 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: Composite vector particles in external electromagnetic fields

Citation Formats

References (72)

Similar Records

Related Subjects