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Spin-orbit force, recoil corrections, and possibleBB¯*andDD¯*molecular states

2014/03/19 by Lu Zhao, Li Ma, Shi-Lin Zhu · 61 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Meson #Omega #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Recoil #Spin (aerodynamics) #Thermodynamics #hep-ex #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.89.094026

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 89(9) (American Physical Society) · 14 pages, 10 figures

arxiv created 2014/03/19 · openalex publication_date 2014/05/28 · arxiv updated 2014/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In the framework of the one-boson exchange model, we have calculated the effective potentials between two heavy mesons BB* and DD* from the t- and u-channel \ensuremathπ-, \ensuremathη-, \ensuremathρ-, \ensuremathω-, and \ensuremathσ-meson exchanges with four kinds of quantum number: I=0, JPC=1++; I=0, JPC=1^+\ensuremath-; I=1, JPC=1++; I=1, JPC=1^+\ensuremath-. We keep the recoil corrections to the BB* and DD* systems up to O(\frac1M2). The spin-orbit force appears at O((1)/(M)), which turns out to be important for the very loosely bound molecular states. Our numerical results show that the momentum-related corrections are unfavorable to the formation of the molecular states in the I=0, JPC=1++ and I=1, JPC=1^+\ensuremath- channels in the DD* system.

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