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  • Letter
  • Open Access

Sum rule for the partial decay rates of bottom hadrons based on the dynamical supersymmetry of the s¯ quark and the ud diquark

Taiju Amano1,2, Daisuke Jido2,1,*, and Stefan Leupold3

  • 1Department of Physics, Tokyo Metropolitan University, Minami-Osawa, Hachioji, 192-0397 Tokyo, Japan
  • 2Department of Physics, Tokyo Institute of Technology, Ookayama, Meguro-ku, 152-8551 Tokyo, Japan
  • 3Institutionen för fysik och astronomi, Uppsala universitet, Box 516, S-75120 Uppsala, Sweden

  • *jido@th.phys.titech.ac.jp
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Phys. Rev. D 105, L051504 – Published 14 March, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L051504

Abstract

We investigate the weak decays of B¯s0 and Λb to charm hadrons based on the dynamical supersymmetry between the s¯ quark and the ud diquark. We derive a new sum rule relating the decay rates of the processes B¯s0→Ds+P−, B¯s0→Ds*+P−, and Λb→ΛcP−, where P− is a negatively charged meson, such as π− and K−. It is found that the observed decay rates satisfy the sum rule very well. This implies that the supersymmetry between the s¯ quark and the ud diquark is also seen in the wave functions of the heavy hadrons and suggests that the ud diquark can be regarded as a valid effective constituent for heavy hadrons.

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Phys. Rev. D 105, L051504– Published 14 March, 2022
  • Received 6 December 2021
  • Accepted 16 February 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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