• • • We do not use the following data for averages, fits, limits, etc. • • • 

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THEO 

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THEO 

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SQID 

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THEO 

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NMR 

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SQID 

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RVUE 

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RVUE 

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THEO 

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NMR 
^{1}
DZUBA 2018 used atomic EDM measurements to derive limits on the product of the pseudoscalar coupling to nucleon and the scalar coupling to electron, which improved on the laboratory bounds for ${\mathit m}_{{{\mathit A}^{0}}}$ $>$ 0.01 eV. See their Fig. 1 for massdependent limits.

^{2}
STADNIK 2018 used atomic and molecular EDM experiments to derive limits on the product of the pseudoscalar couplings to electron and the scalar coupling to nucleon and electron. See their Fig. 2 for massdependent limits, which improved on the laboratory bounds for ${\mathit m}_{{{\mathit A}^{0}}}$ $>$ 0.01 eV.

^{3}
CRESCINI 2017 use the QUAX${{\mathit g}_{{p}}}{{\mathit g}_{{s}}}$ experiment to look for variation of a paramagnetic GSO crystal magnetization when rotating lead disks are positioned near the crystal, and find $\mathit g$ = ${{\mathit g}_{{p}}^{e}}{{\mathit g}_{{s}}^{N}}$ $<$ $4.3 \times 10^{30}$ for $\lambda $ = $0.1  0.2$ m at 95$\%$ CL. See their Fig. 6 for limits as a function of $\lambda $.

^{4}
AFACH 2015 look for a change of spin precession frequency of ultracold neutrons when a magnetic field with opposite directions is applied, and find ${{\mathit g}}$ $<$ $2.2 \times 10^{27}$ (m/$\lambda ){}^{2}$ at 95$\%$ CL for 1 $\mu $m $<$ $\lambda $ $<$ 5 mm. See their Fig. 3 for their limits.

^{5}
STADNIK 2015 studied proton and neutron spin contributions for nuclei and derive the limits $\mathit g$ $<$ $10^{28}  10^{23}$ for $\lambda $ $>$ $3 \times 10^{4}$ m using the data of TULLNEY 2013 . See their Figs. 1 and 2 for $\lambda $dependent limits.

^{6}
TERRANO 2015 used a torsion pendulum and rotating attractor, and derived a restrictive limit on the product of the pseudoscalar coupling to electron and the scalar coupling to nucleons, ${{\mathit g}}$ $<$ $9 \times 10^{29}  5 \times 10^{26}$ for ${\mathit m}_{{{\mathit A}^{0}}}$ $<$ $1.5  400$ $\mu $eV. See their Fig. 5 for massdependent limits.

^{7}
BULATOWICZ 2013 looked for NMR frequency shifts in polarized ${}^{129}\mathrm {Xe}$ and ${}^{131}\mathrm {Xe}$ when a zirconia rod is positioned near the NMR cell, and find $\mathit g$ $<$ $1 \times 10^{19}  1 \times 10^{24}$ for $\lambda $ = $0.01  1$ cm. See their Fig. 4 for their limits.

^{8}
CHU 2013 look for a shift of the spin precession frequency of polarized ${}^{3}\mathrm {He}$ in the presence of an unpolarized mass, in analogy to YOUDIN 1996 . See Fig.$~$3 for limits on ${{\mathit g}}$ in the approximate ${\mathit m}_{{{\mathit A}^{0}}}$ range $0.02  2$ meV.

^{9}
TULLNEY 2013 look for a shift of the precession frequency difference between the colocated ${}^{3}\mathrm {He}$ and ${}^{129}\mathrm {Xe}$ in the presence an unpolarized mass, and derive limits g $<$ $3 \times 10^{29}  2 \times 10^{22}$ for $\lambda $ $>$ $3 \times 10^{4}$ m. See their Fig. 3 for $\lambda $dependent limits.

^{10}
RAFFELT 2012 show that the pseudoscalar couplings to electron and nucleon and the scalar coupling to nucleon are individually constrained by stellar energyloss arguments and searches for anomalous monopolemonopole forces, together providing restrictive constraints on $\mathit g$. See their Figs. 2 and 3 for results.

^{11}
HOEDL 2011 use a novel torsion pendulum to study the force by the polarized electrons of an external magnet. In their Fig.$~$3 they show restrictive limits on $\mathit g$ in the approximate ${\mathit m}_{{{\mathit A}^{0}}}$ range $0.03  10$ meV.

^{12}
use spin relaxation of polarized ${}^{3}\mathrm {He}$ and find $\mathit g$ $<$ $3 \times 10^{23}$ (cm/$\lambda ){}^{2}$ at 95$\%$ CL for the force range $\lambda $ = $10^{4}  1$ cm.

^{13}
SEREBROV 2010 use spin precession of ultracold neutrons close to bulk matter and find $\mathit g~<$ $2 \times 10^{21}$ (cm/$\lambda ){}^{2}$ at 95$\%$ CL for the force range $\lambda $ = $10^{4}  1$ cm.

^{14}
IGNATOVICH 2009 use data on depolarization of ultracold neutrons in material traps. They show $\lambda $dependent limits in their Fig. 1.

^{15}
SEREBROV 2009 uses data on depolarization of ultracold neutrons stored in material traps and finds ${{\mathit g}}<2.96 \times 10^{21}$ (cm/${{\mathit \lambda}}){}^{2}$ for the force range ${{\mathit \lambda}}$ = $10^{3}  1$ cm and ${{\mathit g}}<3.9 \times 10^{22}$ (cm/${{\mathit \lambda}}){}^{2}$ for ${{\mathit \lambda}}$ = $10^{4}  10^{3}$ cm, each time at 95$\%$ CL, significantly improving on BAESSLER 2007 .

^{16}
BAESSLER 2007 use the observation of quantum states of ultracold neutrons in the Earth's gravitational field to constrain $\mathit g$ for an interaction range 1 $\mu $m$$a few mm. See their Fig.$~$3 for results.

^{17}
HECKEL 2006 studied the influence of unpolarized bulk matter, including the laboratory's surroundings or the Sun, on a torsion pendulum containing about $9 \times 10^{22}$ polarized electrons. See their Fig. 4 for limits on $\mathit g$ as a function of interaction range.

^{18}
NI 1999 searched for a $\mathit T$violating mediumrange force acting on paramagnetic ${}^{}\mathrm {Tb}{}^{}\mathrm {F}_{3}$ salt. See their Fig.$~$1 for the result.

^{19}
POSPELOV 1998 studied the possible contribution of $\mathit T$violating MediumRange Force to the neutron electric dipole moment, which is possible when axion interactions violate $\mathit CP$. The size of the force among nucleons must be smaller than gravity by a factor of $2 \times 10^{10}$ (1$~$cm/$\lambda _{\mathit A}$), where $\lambda _{\mathit A}=\hbar{}/{\mathit m}_{{{\mathit A}}}\mathit c$.

^{20}
YOUDIN 1996 compared the precession frequencies of atomic ${}^{199}\mathrm {Hg}$ and ${}^{}\mathrm {Cs}$ when a large mass is positioned near the cells, relative to an applied magnetic field. See Fig.$~$3 for their limits.

^{21}
RITTER 1993 studied the influence of bulk mass with polarized electrons on an unpolarized torsion pendulum, providing limits in the interaction range from 1 to 100 cm.

^{22}
VENEMA 1992 looked for an effect of Earth's gravity on nuclear spinprecession frequencies of ${}^{199}\mathrm {Hg}$ and ${}^{201}\mathrm {Hg}$ atoms.

^{23}
WINELAND 1991 looked for an effect of bulk matter with aligned electron spins on atomic hyperfine resonances in stored ${}^{9}\mathrm {Be}{}^{+}$ ions using nuclear magnetic resonance.
