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Title: X(3872) as a near-threshold state in the coupled-channel model for charmonia levels

Abstract

A coupled-channel approach for charmonia levels is formulated, based on the 3P0 model for pair creation. Special attention is paid to the levels above the open-charm threshold. It is shown, in particular, that the coupling of the 23P1 c-barc state to the DD* channel generates a well-pronounced near-threshold state. Interrelation between this state and the recently discovered mesonic state X(3872) is discussed.

Authors:
 [1]
  1. Institute of Theoretical and Experimental Physics, 117218, B.Cheremushkinskaya 25, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21056843
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 892; Journal Issue: 1; Conference: QCHS7: 7. conference on quark confinement and the hadron spectrum, Ponta Delgada, Acores (Portugal), 2-7 Sep 2006; Other Information: DOI: 10.1063/1.2714405; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHARMONIUM; COUPLED CHANNEL THEORY; COUPLING; D MESONS; D*-2010 MESONS; PAIR PRODUCTION; PARTICLE MODELS

Citation Formats

Kalashnikova, Yu. S.. X(3872) as a near-threshold state in the coupled-channel model for charmonia levels. United States: N. p., 2007. Web. doi:10.1063/1.2714405.
Kalashnikova, Yu. S.. X(3872) as a near-threshold state in the coupled-channel model for charmonia levels. United States. doi:10.1063/1.2714405.
Kalashnikova, Yu. S.. Tue . "X(3872) as a near-threshold state in the coupled-channel model for charmonia levels". United States. doi:10.1063/1.2714405.
@article{osti_21056843,
title = {X(3872) as a near-threshold state in the coupled-channel model for charmonia levels},
author = {Kalashnikova, Yu. S.},
abstractNote = {A coupled-channel approach for charmonia levels is formulated, based on the 3P0 model for pair creation. Special attention is paid to the levels above the open-charm threshold. It is shown, in particular, that the coupling of the 23P1 c-barc state to the DD* channel generates a well-pronounced near-threshold state. Interrelation between this state and the recently discovered mesonic state X(3872) is discussed.},
doi = {10.1063/1.2714405},
journal = {AIP Conference Proceedings},
number = 1,
volume = 892,
place = {United States},
year = {Tue Feb 27 00:00:00 EST 2007},
month = {Tue Feb 27 00:00:00 EST 2007}
}
  • The effects of charmed meson loops on the spectrum of charmonium are considered, with special attention paid to the levels above open-charm threshold. It is found that the coupling to charmed mesons generates a structure at the DD* threshold in the 1{sup ++} partial wave. The implications for the nature of the X(3872) state are discussed.
  • We investigate the enhancement in the D{sup 0}D{sup 0}{pi}{sup 0} final state with the mass M=3875.2{+-}0.7{sub -1.6}{sup +0.3}{+-}0.8 MeV found recently by the Belle Collaboration in the B{yields}KD{sup 0}D{sup 0}{pi}{sup 0} decay and test the possibility that this is yet another manifestation of the well-established resonance X(3872). We perform a combined Flatte analysis of the data for the D{sup 0}D{sup 0}{pi}{sup 0} mode and for the {pi}{sup +}{pi}{sup -}J/{psi} mode of the X(3872). Only if the X(3872) is a virtual state in the D{sup 0}D*{sup 0} channel do the data on the new enhancement comply with those on the X(3872).more » In our fits, the mass distribution in the D{sup 0}D*{sup 0} mode exhibits a peak at 2-3 MeV above the D{sup 0}D*{sup 0} threshold, with a distinctive non-Breit-Wigner shape.« less
  • We have performed a coupled channel calculation of the 1{sup ++} cc sector including qq and DD* molecular configurations. The calculation was done within a constituent quark model which successfully describes the meson spectrum, in particular, the cc 1{sup --} sector. Two and four-quark configurations are coupled using the {sup 3}P{sub 0} model. The elusive X(3872) meson appears as a new state with a high probability for the DD* molecular component. When the mass difference between neutral and charged states is included, a large D{sup 0}D*{sup 0} component is found which dominates for large distances and breaks isospin symmetry inmore » the physical state. The original cc(2{sup 3}P{sub 1}) state acquires a sizable DD* component and can be identified with the X(3940). We study the B{yields}K{pi}{sup +{pi}-}J/{psi} and B{yields}KD{sup 0}D*{sup 0} decays, finding a good agreement with Belle and BABAR experimental data.« less
  • We evaluate the cross section of the process e{sup +}e{sup -}{yields}{gamma}X(3872) in terms of the content of the D*{sup 0}D{sup 0} 'molecular' component in the wave function of the resonance X(3872). If this component is dominating, the cross section of the reaction e{sup +}e{sup -}{yields}{gamma}X(3872) can reach up to about 10{sup -3} of that for e{sup +}e{sup -}{yields}D*D* at energy slightly above the D*D* threshold, and the considered process can be a realistic source of the X(3872) particles for the studies of this resonance.
  • We explore the consequences of treating the X(3872) meson as a tetraquark bound state. As dynamical framework we employ a relativistic constituent quark model which includes infrared confinement in an effective way. We calculate the decay widths of the observed channels X{yields}J/{psi}+2{pi}(3{pi}) and X{yields}D{sup 0}+D{sup 0}+{pi}{sup 0} via the intermediate off-shell states X{yields}J/{psi}+{rho}({omega}) and X{yields}D+D*. For reasonable values of the size parameter {Lambda}{sub X} of the X(3872) we find consistency with the available experimental data. We also discuss the possible impact of the X(3872) in a s-channel dominance description of the J/{psi} dissociation cross section.