Precise measurement of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>Λ</mml:mi> </mml:math> -binding-energy difference between <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:ms

We performed high-precision decay-pion spectroscopy of light $Λ$ hypernuclei at the Mainz Microtron (MAMI) using the A1 spectrometer facility. By measuring the monochromatic $π^-$ momentum from the two-body weak decay $^3_Λ\mathrm{H} \to {}^3\mathrm{He} + π^-$ and referencing it to the $^4_Λ\mathrm{H} \to {}^4\mathrm{He} + π^-$ decay, we determined the $Λ$ binding energy of $^3_Λ\mathrm{H}$ with unprecedented accuracy. The obtained value, $B_Λ(^3_Λ\mathrm{H}) = 0.523 \pm 0.013~(\mathrm{stat.}) \pm 0.075~(\mathrm{syst.})$~MeV, is consistent with the STAR result, but indicates a significantly deeper binding than inferred from earlier measurements. This result implies a stronger $Λ$-deuteron interaction and provides stringent constraints on hyperon-nucleon interactions.