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 · Tue Sep 15 00:00:00 EDT 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.

View Accepted Manuscript (DOE)

Cite

Export

Save

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

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

Grant/Contract Number:: AC02-07CG11359; AC05-06OR23177; AC02-07CH11359; AC02-76CHO03000

OSTI ID:: 1222707

Alternate ID(s):: OSTI ID: 1223213

Report Number(s):: JLAB-THY-15-2022; DOE/OR/23177-3322; arXiv:1503.05363; FERMILAB-PUB-15-084-T; PII: 2091; TRN: US1500751

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

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 27 works

Citation information provided by
Web of Science

References (24)

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
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
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
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
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
Measurement of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3770</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> 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
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
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
Direct measurements of the cross sections for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mtext>hadrons</mml:mtext><mml:msub><mml:mo stretchy="false">\|</mml:mo><mml:mrow><mml:mtext>non-</mml:mtext><mml:mi>D</mml:mi><mml:mover accent="true"><mml:mi>D</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:msub></mml:math> in the range from 3.65 to 3.87 GeV and the branching fraction for <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3770</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>→</mml:mo><mml:mtext>non-</mml:mtext><mml:mi>D</mml:mi><mml:mover accent="true"><mml:mi>D</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math> 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 $σ (e^{+} e^{-} \to ψ (3770) \to hadrons)$ 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
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
Study of $X (3915) \to J / ψ ω$ 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
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 the $χ_{c 2} (2 P)$ meson in the reaction $γ γ \to D \bar{D}$ 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
Observation of a $χ_{c 2}^{'}$ Candidate in $γ γ \to D \bar{D}$ 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
Production of New Charmoniumlike States in $e^{+} e^{-} \to J / ψ D^{()} {\bar{D}}^{()}$ at $\sqrt{s} \approx 10.6 GeV$ Pakhlov, P.; Adachi, I.; Aihara, H. Physical Review Letters, Vol. 100, Issue 20 https://doi.org/10.1103/PhysRevLett.100.202001	journal	May 2008
$2 + 1$ 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
$D_{s 0}^{*} (2317)$ 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
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
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
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
Exclusive initial-state-radiation production of the $D \bar{D}$ , $D^{} \bar{D}$ , and $D^{} {\bar{D}}^{*}$ 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

Cited By (7)

Hadron structure and spectrum from the lattice Lang, C. B. XVITH INTERNATIONAL CONFERENCE ON HADRON SPECTROSCOPY: Hadron2015, AIP Conference Proceedings https://doi.org/10.1063/1.4949370	conference	January 2016
Continuum limit of the $D$ meson, $D_{s}$ meson, and charmonium spectrum from $N_{f} = 2 + 1 + 1$ twisted mass lattice QCD Cichy, Krzysztof; Kalinowski, Martin; Wagner, Marc Physical Review D, Vol. 94, Issue 9 https://doi.org/10.1103/physrevd.94.094503	journal	November 2016
Hadrons and nuclei Detmold, William; Edwards, Robert G.; Dudek, Jozef J. The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12902-4	journal	November 2019
Some hadronic parameters of charmonia in $$\varvec{N_{\text {f}}=2}$$ N f = 2 lattice QCD Bailas, Gabriela; Blossier, Benoît; Morénas, Vincent The European Physical Journal C, Vol. 78, Issue 12 https://doi.org/10.1140/epjc/s10052-018-6495-4	journal	December 2018
Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation Jackura, A.; Fernández-Ramírez, C.; Mathieu, V. The European Physical Journal C, Vol. 79, Issue 1 https://doi.org/10.1140/epjc/s10052-019-6566-1	journal	January 2019
Hadron Structure and Spectrum from the Lattice Lang, C. B. arXiv https://doi.org/10.48550/arxiv.1512.05545	text	January 2015
Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD Cheung, Gavin K. C.; O'Hara, Cian; Moir, Graham arXiv https://doi.org/10.48550/arxiv.1610.01073	text	January 2016

Similar Records

D mesons and charmonium states in asymmetric nuclear matter at finite temperatures

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics · OSTI ID:1222707

Kumar, Arvind; Mishra, Amruta

Lattice studies of charmonia and exotics

Conference · Fri May 01 00:00:00 EDT 2015 · OSTI ID:1222707

Prelovsek, Sasa

First lattice study of low-energy charmonium-hadron interaction

Journal Article · Tue Aug 01 00:00:00 EDT 2006 · Physical Review. D, Particles Fields · OSTI ID:1222707

Yokokawa, Kazuo; Hatsuda, Tetsuo; Sasaki, Shoichi; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
decay width
charmonium
scattering
lattice QCD
heavy quark physics

Title: Vector and scalar charmonium resonances with lattice QCD

Citation Formats

References (24)

Cited By (7)

Similar Records

Related Subjects