2016
DOI: 10.1007/s00601-016-1063-7
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The Role of Spin-Flipping Terms in Hadronic Transitions of $${\Upsilon (4S)}$$ Υ ( 4 S )

Abstract: Recent experimental data on the Υ(4S) → Υ(1S)η and Υ(4S) → h b (1P )η processes seem to contradict the naive expectation that hadronic transitions with spin-flipping terms should be suppressed with respect those without spin-flip. We analyze these transitions using the QCD Multipole Expansion (QCDME) approach and within a constituent quark model framework that has been applied successfully to the heavy-quark sectors during the last years. The QCDME formalism requires the computation of hybrid intermediate stat… Show more

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Cited by 7 publications
(5 citation statements)
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“…This strong disagreement with the HQSS prediction was explained by the contribution of B meson loops or, equivalently, by the presence of a four-quark B B component within the Υ(4S) wave function [24,25]. In the case of transitions to spin-singlet states, there is still no evidence of Υ(4S) → ππh b (1P ), while the Υ(4S) → ηh b (1P ) has been observed recently by Belle to be the largest hadronic transition from the Υ(4S) [26], with a branching fraction in agreement with theoretical arguments [27,28] based on various treatments of the light-quark contributions. At the Υ(5S) energy [29,30], the Υ(5S) → ππh b (mP ) transitions, which were expected to be suppressed by the HQSS violation, have been observed by Belle to be enhanced by the presence of intermediate exotic, four-quark states [31,32].…”
supporting
confidence: 73%
“…This strong disagreement with the HQSS prediction was explained by the contribution of B meson loops or, equivalently, by the presence of a four-quark B B component within the Υ(4S) wave function [24,25]. In the case of transitions to spin-singlet states, there is still no evidence of Υ(4S) → ππh b (1P ), while the Υ(4S) → ηh b (1P ) has been observed recently by Belle to be the largest hadronic transition from the Υ(4S) [26], with a branching fraction in agreement with theoretical arguments [27,28] based on various treatments of the light-quark contributions. At the Υ(5S) energy [29,30], the Υ(5S) → ππh b (mP ) transitions, which were expected to be suppressed by the HQSS violation, have been observed by Belle to be enhanced by the presence of intermediate exotic, four-quark states [31,32].…”
supporting
confidence: 73%
“…This strong disagreement with the HQSS prediction was explained by the contribution of B meson loops or, equivalently, by the presence of a four-quark BB component within the Υ (4S) wave function [24,25]. In the case of transitions to spin-singlet states, there is still no evidence of Υ (4S) → ππh b (1P), while the Υ (4S) → ηh b (1P) has been observed recently by Belle to be the largest hadronic transition from the Υ (4S) [26], with a branching fraction in agreement with theoretical arguments [27,28] based on various treatments of the light-quark contributions. At the Υ (5S) energy [29,30], the Υ (5S) → ππh b (m P) transitions, which were expected to be suppressed by the HQSS violation, have been observed by Belle to be enhanced by the presence of intermediate exotic, four-quark states [31,32].…”
supporting
confidence: 68%
“…They are very hard to calculate in QCD from first principles when the quarkantiquark pair is open-flavor; however, it is worth mentioning herein that there exist non-relativistic effective field theories [80][81][82] and lattice-regularised QCD [83][84][85] computations of, at least, the first multiplet of quarkgluon hybrid mesons when the quark and antiquark are of the same heavy flavor. We shall take a reasonable model which has been already used for the study of similar hadronic transitions in the charmonium and bottomonium sectors [45,86,87], and it will be explained below.…”
Section: Spin-nonflip ππ and η Transitionsmentioning
confidence: 99%
“…It is also important to mention here that the above parameters are considered theoretically as Wilson coefficients and thus they depend on the characteristic energy scale of the physical process. They have been fixed in our previous studies of hadronic transitions within the charmonium and bottomonium sectors [86,87] and, in order to gain predictive power, we use here the values corresponding to the bottomonium case.…”
Section: Spin-nonflip ππ and η Transitionsmentioning
confidence: 99%
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