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Proposal for PAC 52: Measurement of $\alpha_-$ for $\Lambda\rightarrow p\pi^-$

Authors :
Hurck, Peter
Glazier, Derek I.
Ireland, David G.
Livingston, Ken
Afzal, Farah
Thiel, Annika
Wunderlich, Yannick
Crede, Volker
Dalton, Mark M.
Publication Year :
2024

Abstract

We propose to measure the weak decay constant $\alpha_-$ for the decay $\Lambda\rightarrow p\pi^-$ using a both circularly and linearly polarized photon beam with the GlueX spectrometer in Hall D. The measurement will take advantage of the fact that a measurement with both linear and circular photon beam polarization results in an over-constrained set of amplitudes which can be fitted to data and used to extract $\alpha_-$ which will be left as a free parameter in the fit. We expect to determine $\alpha_-$ with statistical uncertainties comparable to existing measurements and independent systematic uncertainties. This measurement can be performed alongside GlueX-II running and requires no new hardware or new beam time. The measurement requires that a sufficient fraction of the electron beam polarization be longitudinal in the Hall D tagger.<br />Comment: Submitted to Jefferson Lab PAC52

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2405.01288
Document Type :
Working Paper