Octet baryon magnetic moments from lattice QCD: Approaching experiment from a threeflavor symmetric point
Abstract
We used lattice QCD calculations with background magnetic fields to determine the magnetic moments of the octet baryons. Computations are performed at the physical value of the strange quark mass, and two values of the light quark mass, one corresponding to the SU(3) flavorsymmetric point, where the pion mass is m _{π} ~ 800 MeV, and the other corresponding to a pion mass m _{π} ~ 450 MeV. The moments are found to exhibit only mild pionmass dependence when expressed in terms of appropriately chosen magneton unitsthe natural baryon magneton. This suggests that simple extrapolations can be used to determine magnetic moments at the physical point, and extrapolated results are found to agree with experiment within uncertainties. A curious pattern is revealed among the anomalous baryon magnetic moments which is linked to the constituent quark model, however, careful scrutiny exposes additional features. Relations expected to hold in the largeN _{c} limit of QCD are studied; and, in one case, the quark model prediction is significantly closer to the extracted values than the largeN _{c} prediction. The magnetically coupled ΛΣ ^{0} system is treated in detail at the SU(3) _{F} point, with the lattice QCD results comparing favorably with predictions basedmore »
 Authors:
 Univ. of Barcelona (Spain). Inst. of Cosmo Sciences
 Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory; Univ. of California, Santa Barbara, CA (United States). Inst. for Nuclear Theory
 Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; City College of New York, NY (United States). Dept. of Physics and University Center; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
 Justus Liebig Univ., Gieben (Germany); Univ. of Washington, Seattle, WA (United States). Dept. of Physics
 Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
 Univ. of California, Santa Barbara, CA (United States). Inst. for Nuclear Theory; Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
 College of William and Mary, Williamsburg, VA (United States). Dept. of Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1374984
 Alternate Identifier(s):
 OSTI ID: 1366331
 Report Number(s):
 JLABTHY162334; DOE/OR/231773999; arXiv:1609.03985
Journal ID: ISSN 24700010; PRVDAQ
 Grant/Contract Number:
 NSF PHY1125915; OCI1053575; 0922770; PHY1515738; AC0205CH11231; SC0010495; SC0011090; SC0010337; FG02 00ER41132; FG0204ER41302; AC0506OR23177; FG0200ER41132; FIS201124154
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 11; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Parreño, Assumpta, Savage, Martin J., Tiburzi, Brian C., Wilhelm, Jonas, Chang, Emmanuel, Detmold, William, and Orginos, Kostas. Octet baryon magnetic moments from lattice QCD: Approaching experiment from a threeflavor symmetric point. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.95.114513.
Parreño, Assumpta, Savage, Martin J., Tiburzi, Brian C., Wilhelm, Jonas, Chang, Emmanuel, Detmold, William, & Orginos, Kostas. Octet baryon magnetic moments from lattice QCD: Approaching experiment from a threeflavor symmetric point. United States. doi:10.1103/PhysRevD.95.114513.
Parreño, Assumpta, Savage, Martin J., Tiburzi, Brian C., Wilhelm, Jonas, Chang, Emmanuel, Detmold, William, and Orginos, Kostas. 2017.
"Octet baryon magnetic moments from lattice QCD: Approaching experiment from a threeflavor symmetric point". United States.
doi:10.1103/PhysRevD.95.114513.
@article{osti_1374984,
title = {Octet baryon magnetic moments from lattice QCD: Approaching experiment from a threeflavor symmetric point},
author = {Parreño, Assumpta and Savage, Martin J. and Tiburzi, Brian C. and Wilhelm, Jonas and Chang, Emmanuel and Detmold, William and Orginos, Kostas},
abstractNote = {We used lattice QCD calculations with background magnetic fields to determine the magnetic moments of the octet baryons. Computations are performed at the physical value of the strange quark mass, and two values of the light quark mass, one corresponding to the SU(3) flavorsymmetric point, where the pion mass is mπ ~ 800 MeV, and the other corresponding to a pion mass mπ ~ 450 MeV. The moments are found to exhibit only mild pionmass dependence when expressed in terms of appropriately chosen magneton unitsthe natural baryon magneton. This suggests that simple extrapolations can be used to determine magnetic moments at the physical point, and extrapolated results are found to agree with experiment within uncertainties. A curious pattern is revealed among the anomalous baryon magnetic moments which is linked to the constituent quark model, however, careful scrutiny exposes additional features. Relations expected to hold in the largeNc limit of QCD are studied; and, in one case, the quark model prediction is significantly closer to the extracted values than the largeNc prediction. The magnetically coupled ΛΣ0 system is treated in detail at the SU(3)F point, with the lattice QCD results comparing favorably with predictions based on SU(3)F symmetry. Our analysis enables the first extraction of the isovector transition magnetic polarizability. The possibility that large magnetic fields stabilize strange matter is explored, but such a scenario is found to be unlikely.},
doi = {10.1103/PhysRevD.95.114513},
journal = {Physical Review D},
number = 11,
volume = 95,
place = {United States},
year = 2017,
month = 6
}
Web of Science

Baryon magnetic moments in largeN{sub c} chiral perturbation theory: Effects of the decupletoctet mass difference and flavor symmetry breaking
The magnetic and transition magnetic moments of the groundstate baryons are computed in heavy baryon chiral perturbation theory in the largeN{sub c} limit, where N{sub c} is the number of colors. SU(3) symmetry breaking is systematically studied twofold: On the one hand, oneloop nonanalytic corrections of orders m{sub q}{sup 1/2} and m{sub q} ln m{sub q} are included, with contributions of baryon intermediate states from both flavor octet and flavor decuplet multiplets, assuming degeneracy between baryon states within a given flavor multiplet but nondegeneracy between baryons of different multiplets. On the other hand, perturbative SU(3) symmetry breaking is also analyzedmore » 
Baryon octet magnetic moments to all orders in flavor breaking: An application to the problem of the strangeness in the nucleon
Using the general QCD parametrization (GP) we display the magnetic moments of the octet baryons including all flavor breaking terms to any order. The hierarchy of the GP parameters allows to estimate a parameter g{sub 0} related to the quark loops contribution of the proton magnetic moment; its magnitude is predicted to be inside a comparatively small interval including the value given recently by Leinweber et al. from a lattice QCD calculation. 
Octet baryon magnetic moments from QCD sum rules
A comprehensive study is made for the magnetic moments of octet baryons in the method of QCD sum rules. A complete set of QCD sum rules is derived using the externalfield method and generalized interpolating fields. For each member, three sum rules are constructed from three independent tensor structures. They are analyzed in conjunction with the corresponding mass sum rules. The performance of each of the sum rules is examined using the criteria of operator product expansion convergence and groundstate dominance, along with the role of the transitions in intermediate states. Individual contributions from the u, d, and s quarksmore » 
Pseudoscalarmesonoctetbaryon coupling constants in twoflavor lattice QCD
We evaluate the {pi}NN, {pi}{sigma}{sigma}, {pi}{lambda}{sigma}, K{lambda}N and K{sigma}N coupling constants and the corresponding monopole masses in lattice QCD with two flavors of dynamical quarks. The parameters representing the SU(3)flavor symmetry are computed at the point where the three quark flavors are degenerate at the physical squark mass. In particular, we obtain {alpha}{identical_to}F/(F+D)=0.395(6). The quarkmass dependences of the coupling constants are obtained by changing the u and the dquark masses. We find that the SU(3)flavor parameters have weak quarkmass dependence and thus the SU(3)flavor symmetry is broken by only a few percent at each quarkmass point we consider.