X structures in B+ → J/ψ ϕ K+ as one-loop and double-triangle threshold cusps

The LHCb data on B+→J/ψϕK+ show four peaks and three dips in the J/ψϕ invariant mass distribution, and the peaks are interpreted as X(4140), X(4274), X(4500) and X(4685)/X(4700) resonance contributions. Interestingly, all the peaks and dips are located at (or close to) Ds⁎D¯s(⁎), Ds0⁎(2317)D¯s(⁎), D...

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Main Author: Satoshi X. Nakamura
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322006207
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author Satoshi X. Nakamura
author_facet Satoshi X. Nakamura
author_sort Satoshi X. Nakamura
collection DOAJ
description The LHCb data on B+→J/ψϕK+ show four peaks and three dips in the J/ψϕ invariant mass distribution, and the peaks are interpreted as X(4140), X(4274), X(4500) and X(4685)/X(4700) resonance contributions. Interestingly, all the peaks and dips are located at (or close to) Ds⁎D¯s(⁎), Ds0⁎(2317)D¯s(⁎), Ds1(2536)D¯s(⁎), and ψ′ϕ thresholds. These coincidences suggest a close connection between the structures and the thresholds, which however has not been seriously considered in previous theoretical studies on the X structures. In fact, if we utilize this connection and interpret the X structures as common s-wave threshold cusps, we face a difficulty: X(4274) and X(4500) have spin-parity that conflict with the experimentally determined ones. In this work, we introduce double triangle mechanisms that cause threshold cusps significantly sharper than the ordinary one-loop ones of the same spin-parity. We demonstrate that all the X and dip structures are well described by a combination of one-loop and double-triangle threshold cusps, thereby proposing a novel interpretation of the X and dip structures.
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spelling doaj.art-68370083bba7467189b4ea39155906872022-12-22T04:07:19ZengElsevierPhysics Letters B0370-26932022-11-01834137486X structures in B+ → J/ψ ϕ K+ as one-loop and double-triangle threshold cuspsSatoshi X. Nakamura0University of Science and Technology of China, Hefei 230026, People's Republic of China; State Key Laboratory of Particle Detection and Electronics (IHEP-USTC), Hefei 230036, People's Republic of China; Correspondence to: University of Science and Technology of China, Hefei 230026, People's Republic of China.The LHCb data on B+→J/ψϕK+ show four peaks and three dips in the J/ψϕ invariant mass distribution, and the peaks are interpreted as X(4140), X(4274), X(4500) and X(4685)/X(4700) resonance contributions. Interestingly, all the peaks and dips are located at (or close to) Ds⁎D¯s(⁎), Ds0⁎(2317)D¯s(⁎), Ds1(2536)D¯s(⁎), and ψ′ϕ thresholds. These coincidences suggest a close connection between the structures and the thresholds, which however has not been seriously considered in previous theoretical studies on the X structures. In fact, if we utilize this connection and interpret the X structures as common s-wave threshold cusps, we face a difficulty: X(4274) and X(4500) have spin-parity that conflict with the experimentally determined ones. In this work, we introduce double triangle mechanisms that cause threshold cusps significantly sharper than the ordinary one-loop ones of the same spin-parity. We demonstrate that all the X and dip structures are well described by a combination of one-loop and double-triangle threshold cusps, thereby proposing a novel interpretation of the X and dip structures.http://www.sciencedirect.com/science/article/pii/S0370269322006207
spellingShingle Satoshi X. Nakamura
X structures in B+ → J/ψ ϕ K+ as one-loop and double-triangle threshold cusps
Physics Letters B
title X structures in B+ → J/ψ ϕ K+ as one-loop and double-triangle threshold cusps
title_full X structures in B+ → J/ψ ϕ K+ as one-loop and double-triangle threshold cusps
title_fullStr X structures in B+ → J/ψ ϕ K+ as one-loop and double-triangle threshold cusps
title_full_unstemmed X structures in B+ → J/ψ ϕ K+ as one-loop and double-triangle threshold cusps
title_short X structures in B+ → J/ψ ϕ K+ as one-loop and double-triangle threshold cusps
title_sort x structures in b    j ψ ϕ k as one loop and double triangle threshold cusps
url http://www.sciencedirect.com/science/article/pii/S0370269322006207
work_keys_str_mv AT satoshixnakamura xstructuresinbjpsphkasoneloopanddoubletrianglethresholdcusps