Three-particle bound states in a finite volume: Unequal masses and higher partial waves

Yu Meng (School of Physics and Center for High Energy Physics, Peking University, Beijing 100871, People’s Republic of China) ; Chuan Liu (School of Physics and Center for High Energy Physics, Peking University, Beijing 100871, People’s Republic of China; Collaborative Innovation Center of Quantum Matter, Beijing 100871, People’s Republic of China) ; Ulf-G. Meißner (Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D–53115 Bonn, Germany; Institute for Advanced Simulation (IAS-4), Institut für Kernphysik (IKP-3), Jülich Center for Hadron Physics and JARA-HPC, Forschungszentrum Jülich, D-52425 Jülich, Germany) ; A. Rusetsky (Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D–53115 Bonn, Germany)

An explicit expression for the finite-volume energy shift of shallow three-body bound states for nonidentical particles is obtained in the unitary limit. The inclusion of the higher partial waves is considered. To this end, the method of Meißner, Rìos, and Rusetsky [Phys. Rev. Lett. 114, 091602 (2015)] is generalized for the case of unequal masses and arbitrary angular momenta. It is shown that in the S-wave and in the equal-mass limit, the result from Meißner, Rìos, and Rusetsky is reproduced.

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      "value": "An explicit expression for the finite-volume energy shift of shallow three-body bound states for nonidentical particles is obtained in the unitary limit. The inclusion of the higher partial waves is considered. To this end, the method of Mei\u00dfner, R\u00ecos, and Rusetsky [Phys. Rev. Lett. 114, 091602 (2015)] is generalized for the case of unequal masses and arbitrary angular momenta. It is shown that in the S-wave and in the equal-mass limit, the result from Mei\u00dfner, R\u00ecos, and Rusetsky is reproduced."
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Published on:
12 July 2018
Publisher:
APS
Published in:
Physical Review D , Volume 98 (2018)
Issue 1
DOI:
https://doi.org/10.1103/PhysRevD.98.014508
arXiv:
1712.08464
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: