113Cdβ-decay spectrum and gA quenching using spectral moments
Kostensalo, J., Lisi, E., Marrone, A., & Suhonen, J. (2023). 113Cdβ-decay spectrum and gA quenching using spectral moments. Physical Review C, 107(5), Article 055502. https://doi.org/10.1103/PhysRevC.107.055502
Julkaistu sarjassa
Physical Review CPäivämäärä
2023Tekijänoikeudet
© 2023 American Physical Society (APS)
We present an alternative analysis of the 113Cdβ-decay electron energy spectrum in terms of spectral moments μn, corresponding to the averaged values of nth powers of the β particle energy. The zeroth moment μ0 is related to the decay rate, while higher moments μn are related to the spectrum shape. The here advocated spectral-moment method (SMM) allows for a complementary understanding of previous results, obtained using the so-called spectrum-shape method (SSM) and its revised version, in terms of two free parameters: r=gA/gV (the ratio of axial-vector to vector couplings) and s (the small vectorlike relativistic nuclear matrix element, s-NME). We present numerical results for three different nuclear models with the conserved vector current hypothesis (CVC) assumption of gV=1. We show that most of the spectral information can be captured by the first few moments, which are simple quadratic forms (conic sections) in the (r,s) plane: An ellipse for n=0 and hyperbolas for n≥1, all being nearly degenerate as a result of cancellations among nuclear matrix elements. The intersections of these curves, as obtained by equating theoretical and experimental values of μn, identify the favored values of (r,s) at a glance, without performing detailed fits. In particular, we find that values around r≈1 and s≈1.6 are consistently favored in each nuclear model, confirming the evidence for gA quenching in 113Cd, and shedding light on the role of the s-NME. We briefly discuss future applications of the SMM to other forbidden β-decay spectra sensitive to gA.
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American Physical Society (APS)ISSN Hae Julkaisufoorumista
2469-9985Asiasanat
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https://converis.jyu.fi/converis/portal/detail/Publication/183664878
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The work of E.L. and A.M. is partly supported the Italian Ministero dell’Università e Ricerca (MUR) through the research Grant No. 2017W4HA7S, “NAT-NET: Neu trino and Astroparticle Theory Network” under the program PRIN 2017, and by the Istituto Nazionale di Fisica Nucle are (INFN) through the “Theoretical Astroparticle Physics” (TAsP) project.Lisenssi
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