Vector and scalar charmonium resonances with lattice QCD

Lang, C. B.; Leskovec, Luka; Mohler, Daniel; Prelovsek, Sasa

doi:10.1007/JHEP09(2015)089

Title: Vector and scalar charmonium resonances with lattice QCD

Journal Article · 14 September 2015 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP09(2015)089 · OSTI ID:1222707

Lang, C. B. ^[1]; Leskovec, Luka ^[2]; Mohler, Daniel ^[3]; Prelovsek, Sasa ^[4]

Univ. of Graz, Graz (Austria)
Jozef Stefan Inst. (IJS), Ljubljana (Slovenia)
Univ. of Ljubljana, Ljubljana (Slovenia)
Jozef Stefan Inst. (IJS), Ljubljana (Slovenia); Univ. of Ljubljana, Ljubljana (Slovenia); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

We perform an exploratory lattice QCD simulation of DD¯ scattering, aimed at determining the masses as well as the decay widths of charmonium resonances above open charm threshold. Neglecting coupling to other channels, the resulting phase shift for DD¯ scattering in p-wave yields the well-known vector resonance ψ(3770). For m_π = 156 MeV, the extracted resonance mass and the decay width agree with experiment within large statistical uncertainty. The scalar charmonium resonances present a puzzle, since only the ground state _{Χ_c0}(1P) is well understood, while there is no commonly accepted candidate for its first excitation. We simulate DD¯ scattering in s-wave in order to shed light on this puzzle. The resulting phase shift supports the existence of a yet-unobserved narrow resonance with a mass slightly below 4 GeV. A scenario with this narrow resonance and a pole at _{Χ_c0}(1P) agrees with the energy-dependence of our phase shift. In addition, further lattice QCD simulations and experimental efforts are needed to resolve the puzzle of the excited scalar charmonia.

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Research Organization:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-07CH11359; AC05-06OR23177

OSTI ID:: 1222707

Report Number(s):: DOE/OR/23177-3322; FERMILAB-PUB-15-084-T; JLAB-THY--15-2022; arXiv:1503.05363; PII: 2091

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2015; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (24)

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states Lüscher, M. Communications in Mathematical Physics, Vol. 104, Issue 2 https://doi.org/10.1007/BF01211589	journal	June 1986
Lattice QCD estimate of the η c (2S) → J/ψγ decay rate Bečirević, Damir; Kruse, Michael; Sanfilippo, Francesco Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)014	journal	May 2015
Adjoint sources in lattice gauge theory Michael, C. Nuclear Physics B, Vol. 259, Issue 1 https://doi.org/10.1016/0550-3213(85)90297-4	journal	September 1985
How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation Lüscher, Martin; Wolff, Ulli Nuclear Physics B, Vol. 339, Issue 1 https://doi.org/10.1016/0550-3213(90)90540-T	journal	July 1990
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
Signatures of unstable particles in finite volume Lüscher, Martin Nuclear Physics B, Vol. 364, Issue 1 https://doi.org/10.1016/0550-3213(91)90584-K	journal	October 1991
ψ″ Decays to charmless final states Rosner, Jonathan L. Annals of Physics, Vol. 319, Issue 1 https://doi.org/10.1016/j.aop.2005.02.004	journal	September 2005
Direct measurements of the cross sections for e+e−→hadrons\|non-DD¯ in the range from 3.65 to 3.87 GeV and the branching fraction for ψ(3770)→non-DD¯ Ablikim, M.; Bai, J. Z.; Ban, Y. Physics Letters B, Vol. 659, Issue 1-2 https://doi.org/10.1016/j.physletb.2007.11.078	journal	January 2008
Measurement of ψ(3770) parameters Anashin, V. V.; Aulchenko, V. M.; Baldin, E. M. Physics Letters B, Vol. 711, Issue 3-4 https://doi.org/10.1016/j.physletb.2012.04.019	journal	May 2012
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
2 + 1 flavor lattice QCD toward the physical point Aoki, S.; Ishikawa, K. -I.; Ishizuka, N. Physical Review D, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevD.79.034503	journal	February 2009
Exclusive initial-state-radiation production of the D D ¯ , D * D ¯ , and D * D ¯ * systems Aubert, B.; Karyotakis, Y.; Lees, J. P. Physical Review D, Vol. 79, Issue 9 https://doi.org/10.1103/PhysRevD.79.092001	journal	May 2009
Observation of the χ c 2 ( 2 P ) meson in the reaction γ γ → D D ¯ at BABAR Aubert, B.; Karyotakis, Y.; Lees, J. P. Physical Review D, Vol. 81, Issue 9 https://doi.org/10.1103/PhysRevD.81.092003	journal	May 2010
Study of X ( 3915 ) → J / ψ ω in two-photon collisions Lees, J. P.; Poireau, V.; Tisserand, V. Physical Review D, Vol. 86, Issue 7 https://doi.org/10.1103/PhysRevD.86.072002	journal	October 2012
Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034505	journal	February 2013
Production of New Charmoniumlike States in e + e − → J / ψ D ( * ) D ¯ ( * ) at s ≈ 10.6 GeV Pakhlov, P.; Adachi, I.; Aihara, H. Physical Review Letters, Vol. 100, Issue 20 https://doi.org/10.1103/PhysRevLett.100.202001	journal	May 2008
Evidence for X ( 3872 ) from D D * Scattering on the Lattice Prelovsek, Sasa; Leskovec, Luka Physical Review Letters, Vol. 111, Issue 19 https://doi.org/10.1103/PhysRevLett.111.192001	journal	November 2013
D s 0 * ( 2317 ) Meson and D -Meson-Kaon Scattering from Lattice QCD Mohler, Daniel; Lang, C. B.; Leskovec, Luka Physical Review Letters, Vol. 111, Issue 22 https://doi.org/10.1103/PhysRevLett.111.222001	journal	November 2013
Could the X ( 3915 ) and the X ( 3930 ) Be the Same Tensor State? Zhou, Zhi-Yong; Xiao, Zhiguang; Zhou, Hai-Qing Physical Review Letters, Vol. 115, Issue 2 https://doi.org/10.1103/PhysRevLett.115.022001	journal	July 2015
Observation of a χ c 2 ′ Candidate in γ γ → D D ¯ Production at Belle Uehara, S.; Abe, K.; Abe, K. Physical Review Letters, Vol. 96, Issue 8 https://doi.org/10.1103/PhysRevLett.96.082003	journal	March 2006
Measurement of σ ( e + e − → ψ ( 3770 ) → hadrons ) at E c . m . = 3773 MeV Besson, D.; Pedlar, T. K.; Cronin-Hennessy, D. Physical Review Letters, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevLett.96.092002	journal	March 2006
Quarkonia and their transitions Eichten, Estia; Godfrey, Stephen; Mahlke, Hanna Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.1161	journal	September 2008
QCD and strongly coupled gauge theories: challenges and perspectives Brambilla, N.; Eidelman, S.; Foka, P. The European Physical Journal C, Vol. 74, Issue 10 https://doi.org/10.1140/epjc/s10052-014-2981-5	journal	October 2014
Charmonium mass splittings at the physical point DeTar, Carleton; Kronfeld, A. S.; Levkova, L. Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) https://doi.org/10.22323/1.164.0257	conference	December 2012

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