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==[[GlueX_Physics_Exotc_Quantum_Number_Mesons | Exotic Quantum Number Mesons]]==
 
==[[GlueX_Physics_Exotc_Quantum_Number_Mesons | Exotic Quantum Number Mesons]]==
 +
===Exotic Quantum Numbers===
 +
As noted in the [[GlueX_Physics_Quark_Model#Quantum Numbers of Mesons |Quark Model]]
 +
chapter, simple <math>q\bar q</math> systems can have the following J<sup>PC</sup> quantum
 +
numbers:<br><center>
 +
0<sup>-+</sup>, 0<sup>++</sup>, 1<sup>--</sup>, 1<sup>+-</sup>, 1<sup>++</sup>, 2<sup>--</sup>, 2<sup>-+</sup>, 2<sup>++</sup>, 3<sup>--</sup>, 3<sup>+-</sup>, 3<sup>++</sup>, ....  (1) </center><br>
 +
It was also noted that there were a number of J<sup>PC</sup> quantum numbers that are not
 +
allowed for <math>q\bar q</math> systems:<br><center>
 +
0<sup>--</sup>, 0<sup>+-</sup>, 1<sup>-+</sup>, 2<sup>+-</sup>, 3<sup>-+</sup>, .... (2)
 +
</center><br>
 +
Observation of a state from equation (2) would indicated something outside the simple
 +
quark model picture. Such states could include multi-quark states such as <math>q\bar q q\bar q</math>, glueballs (states containing only gluons) <math>gg</math>,<math>ggg</math>, or hybrid mesons, written schematically as <math>q\bar q g</math>. In fact, the manifest glue represents
 +
an excitation of the gluonic field binding the <math>q\bar q</math> system. For a more detailed
 +
description of the statos these states, please consult the recent
 +
[[GlueX_Physics_Review_Papers#Recent Review Papers on Hadron Spectroscopy|review papers]]
 +
mentioned in this note. Various models make predictions for expected quantum numbers and
 +
masses for these states.
 +
====Naming Conventions====
 +
The notation used throughout this article to represent hybrid mesons is that which is currently in use by the Particle Data Group. In their notation, the parity and charge conjugation determine the name of thehybrid, which is taken as the name of the normal meson of the same J,P,C and isospin. The total spin is then used as a subscript to the name. The PDG naming scheme for the hybrid mesons from the flux-tube model is given in Table 1.
 +
<br><center>
 +
<table><tr>
 +
<td width=50>J<sup>PC</sup></td>
 +
<td width=50>(I<sup>G</sup>)</td>
 +
<td width=50></td>
 +
<td width=50>(I<sup>G</sup>)</td>
 +
<td width=75></td>
 +
<td width=50>(I)</td>
 +
<td width=50></td>
 +
</tr><tr>
 +
<td><font color=blue>0<sup>--</sup></font></td>
 +
<td>(1<sup>-</sup>)</td>
 +
<td>&rho;<sub>0</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>&omega;<sub>0</sub>,&phi;<sub>1</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>1</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>0<sup>+-</sup></font></td>
 +
<td>(1<sup>+</sup>)</td>
 +
<td>b<sub>0</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>h<sub>0</sub>,h<sup>'</sup><sub>0</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>0</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>1<sup>-+</sup></font></td>
 +
<td>(1<sup>-</sup>)</td>
 +
<td>&pi;<sub>1</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>&eta;<sub>1</sub>,&eta;<sup>'</sup><sub>1</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>1</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>2<sup>+-</sup></font></td>
 +
<td>(1<sup>+</sup>)</td>
 +
<td>b<sub>2</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>h<sub>2</sub>,h<sup>'</sup><sub>2</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>2</sub></td>
 +
</tr></table>
 +
<i>Table 1: The naming scheme for exotic quantum number mesons.</i>
 +
</center>
  
 +
 +
There is also an older naming scheme for exotic quantum number states
 +
in which the name is given by the J<sup>P</sup> of the state. The odd
 +
C-parity in then indicated by placing a hat over the name. This is no
 +
longer in common use.
 +
<br><center>
 +
<table><tr>
 +
<td width=50>J<sup>PC</sup></td>
 +
<td width=50>(I<sup>G</sup>)</td>
 +
<td width=50></td>
 +
<td width=50>(I<sup>G</sup>)</td>
 +
<td width=75></td>
 +
<td width=50>(I)</td>
 +
<td width=50></td>
 +
</tr><tr>
 +
<td><font color=blue>0<sup>--</sup></font></td>
 +
<td>(1<sup>-</sup>)</td>
 +
<td><math>\hat \pi</math><sub>0</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td><math>\hat \eta</math><sub>0</sub>,<math>\hat \eta</math><sup>'</sup><sub>1</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>0</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>0<sup>+-</sup></font></td>
 +
<td>(1<sup>+</sup>)</td>
 +
<td><math>\hat a</math><sub>0</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td><math>\hat f</math><sub>0</sub>,<math>\hat f</math><sup>'</sup><sub>0</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>0</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>1<sup>-+</sup></font></td>
 +
<td>(1<sup>-</sup>)</td>
 +
<td><math>\hat \rho</math><sub>1</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td><math>\hat \omega</math><sub>1</sub>,<math>\hat \phi</math><sub>1</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>1</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>2<sup>+-</sup></font></td>
 +
<td>(1<sup>+</sup>)</td>
 +
<td><math>\hat a</math><sub>2</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td><math>\hat f</math><sub>2</sub>,<math>\hat f</math><sup>'</sup><sub>2</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>2</sub></td>
 +
</tr></table>
 +
<i>Table 1: The older naming scheme for exotic quantum number mesons. This is no
 +
longer in common use.</i>
 +
</center>
 +
 +
===Models of non <math>q\bar q</math> Mesons===
 +
====The Bag Model====
 +
====QCD Sum Rules====
 +
====The Flux-tube Model====
 +
<br><center>
 +
<table><tr>
 +
<td width=50>J<sup>PC</sup></td>
 +
<td width=50>(I<sup>G</sup>)</td>
 +
<td width=50></td>
 +
<td width=50>(I<sup>G</sup>)</td>
 +
<td width=75></td>
 +
<td width=50>(I)</td>
 +
<td width=50></td>
 +
</tr><tr>
 +
<td>1<sup>++</sup></td>
 +
<td>(1<sup>-</sup>)</td>
 +
<td>a<sub>1</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>f<sub>1</sub>,f<sup>'</sup><sub>1</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sub>1</sub></td>
 +
</tr><tr>
 +
<td>1<sup>--</sup></td>
 +
<td>(1<sup>+</sup>)</td>
 +
<td>&rho;<sub>1</sub></td>
 +
<td>(0<sup>-</sup>)</td>
 +
<td>&omega;<sub>1</sub>,&phi;<sub>1</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>1</sub></td>
 +
</tr><tr>
 +
<td>0<sup>-+</sup></td>
 +
<td>(1<sup>-</sup>)</td>
 +
<td>&pi;<sub>0</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>&eta;<sub>0</sub>,&eta;<sup>'</sup><sub>0</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sub>0</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>1<sup>-+</sup></font></td>
 +
<td>(1<sup>-</sup>)</td>
 +
<td>&pi;<sub>1</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>&eta;<sub>1</sub>,&eta;<sup>'</sup><sub>1</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>1</sub></td>
 +
</tr><tr>
 +
<td>2<sup>-+</sup></td>
 +
<td>(1<sup>-</sup>)</td>
 +
<td>&pi;<sub>2</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>&eta;<sub>2</sub>,&eta;<sup>'</sup><sub>2</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sub>2</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>0<sup>+-</sup></font></td>
 +
<td>(1<sup>+</sup>)</td>
 +
<td>b<sub>0</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>h<sub>0</sub>,h<sup>'</sup><sub>0</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>0</sub></td>
 +
</tr><tr>
 +
<td>1<sup>+-</sup></td>
 +
<td>(1<sup>+</sup>)</td>
 +
<td>b<sub>1</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>h<sub>1</sub>,h<sup>'</sup><sub>1</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sub>1</sub></td>
 +
</tr><tr>
 +
<td><font color=blue>2<sup>+-</sup></font></td>
 +
<td>(1<sup>+</sup>)</td>
 +
<td>b<sub>2</sub></td>
 +
<td>(0<sup>+</sup>)</td>
 +
<td>h<sub>2</sub>,h<sup>'</sup><sub>2</sub></td>
 +
<td>(1/2)</td>
 +
<td>K<sup>*</sup><sub>2</sub></td>
 +
</tr></table>
 +
<i>Table 3: The naming scheme for hybrid mesons from the flux-tube model.</i>
 +
</center>
 +
 +
====Lattice Calculations====
 +
Here we present a brief summary of lattice results related to exotic quantum number
 +
mesons. A more detailed description can be found in the section on
 +
[[GlueX_Physics_Lattice_QCD_Calculations | Lattice QCD Calculations]].
 +
 +
===The Experimental Situation===
 +
====The &pi;<sub>1</sub>(1400)====
 +
====The &pi;<sub>1</sub>(1600)====
 +
====The &pi;<sub>1</sub>(2015)====
 +
 +
===References===
 
* <b>Experimental Measurements</b>
 
* <b>Experimental Measurements</b>
 +
** <i>Precision Meson Spectroscopy at COMPASS</i>, The COMPASS Collaboration, arXiv:1002.1272, (2010), [http://arxiv.org/abs/1002.1272v1 arXiv].
 
** <i> Observation of a J<sup>PC</sup>=1<sup>-+</sup> exotic resonance in diffractive dissociation  of 190 GeV/c pi<sup>-</sup> into pi<sup>-</sup> pi<sup>-</sup> pi<sup>+</sup></i>, The COMPASS Collabration, arXiv:0910.5842, (2009), [http://arxiv.org/abs/0910.5842v1 arXiv].
 
** <i> Observation of a J<sup>PC</sup>=1<sup>-+</sup> exotic resonance in diffractive dissociation  of 190 GeV/c pi<sup>-</sup> into pi<sup>-</sup> pi<sup>-</sup> pi<sup>+</sup></i>, The COMPASS Collabration, arXiv:0910.5842, (2009), [http://arxiv.org/abs/0910.5842v1 arXiv].
 
** <i> Search for the photo-excitation of exotic mesons in the &pi;+ &pi;+ &pi;- system</i>, M. Nozar, <i>et al.</i> (CLAS Collaboration), Phys. Rev. Lett. <b>102</b> (2009), 102002, [http://dx.doi.org/10.1103/PhysRevLett.102.102002 PRL].
 
** <i> Search for the photo-excitation of exotic mesons in the &pi;+ &pi;+ &pi;- system</i>, M. Nozar, <i>et al.</i> (CLAS Collaboration), Phys. Rev. Lett. <b>102</b> (2009), 102002, [http://dx.doi.org/10.1103/PhysRevLett.102.102002 PRL].
** <i>Partial wave analysis of the &pi;-&pi;-&pi;+ and &pi;-&pi;0&pi;0 systems and the search for a JPC=1<sup>-+</sup> meson</i>, A.R. Dzierba, <i>et al.</i>, Phys. Rev. D<b>73</b>, (2006), 072001, [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRVDAQ000073000007072001000001&idtype=cvips&gifs=yes PRD].
+
** <i>Partial wave analysis of the &pi;-&pi;-&pi;+ and &pi;-&pi;0&pi;0 systems and the search for a JPC=1<sup>-+</sup> meson</i>, A.R. Dzierba, <i>et al.</i>, Phys. Rev. D<b>73</b>, (2006), 072001, [https://journals.aps.org/prd/abstract/10.1103/PhysRevD.73.072001 PRD].
 
** <i>Exotic Meson Decays to &omega; &pi;<sup>o</sup>&pi;<sup>-</sup></i>, M. Lu <i>et al.</i> (E852 Collaboration), Phys. Rev.<b>94</b>, (2005), 032002, [http://prola.aps.org/abstract/PRL/v94/i3/e032002 PRL].
 
** <i>Exotic Meson Decays to &omega; &pi;<sup>o</sup>&pi;<sup>-</sup></i>, M. Lu <i>et al.</i> (E852 Collaboration), Phys. Rev.<b>94</b>, (2005), 032002, [http://prola.aps.org/abstract/PRL/v94/i3/e032002 PRL].
 
** <i>Study of the Reaction &pi;<sup>-</sup>p &rarr; &eta;' &pi;<sup>0</sup> n at the VES Spectrometer</i>, Y. Guoz (VES Collaboration), AIP Conf. Proc. <b>717</b> (2004) 145-149.
 
** <i>Study of the Reaction &pi;<sup>-</sup>p &rarr; &eta;' &pi;<sup>0</sup> n at the VES Spectrometer</i>, Y. Guoz (VES Collaboration), AIP Conf. Proc. <b>717</b> (2004) 145-149.
** <i>Exotic Meson Production in the f<sub>1</sub>(1285) &pi;<sup-</sup> System observed in the Reaction &pi;<sup>-</sup>p &rarr; &eta; &pi;<sup>+</sup> &pi;<sup>-</sup> &pi;<sup>-</sup> p at 18 GeV/c</i>, J. Kuhn (E852 Collaboration), Phys. Lett. B<b>595</b>, (2004), 109-117, [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVN-4CPBRR8-C&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=e73ec28d490239c0fffd362313f482d8 Science Direct].
+
** <i>Exotic Meson Production in the f<sub>1</sub>(1285) &pi;<sup>-</sup> System observed in the Reaction &pi;<sup>-</sup>p &rarr; &eta; &pi;<sup>+</sup> &pi;<sup>-</sup> &pi;<sup>-</sup> p at 18 GeV/c</i>, J. Kuhn (E852 Collaboration), Phys. Lett. B<b>595</b>, (2004), 109-117, [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVN-4CPBRR8-C&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=e73ec28d490239c0fffd362313f482d8 Science Direct].
 
** <i> &rho; &pi; states in the anti-proton neutron annihilation into &pi;- 3&pi;0</i>, F. Meyer-Wildhagen <i>et al.</i> (Crystal Barrel Collaboration), Nucl. Phys. A<b>721</b> (2003), 605-608, [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVB-49H6B0H-4C&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=febc3d04b640f5294e1b1696ebac25cb Science Direct].
 
** <i> &rho; &pi; states in the anti-proton neutron annihilation into &pi;- 3&pi;0</i>, F. Meyer-Wildhagen <i>et al.</i> (Crystal Barrel Collaboration), Nucl. Phys. A<b>721</b> (2003), 605-608, [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVB-49H6B0H-4C&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=febc3d04b640f5294e1b1696ebac25cb Science Direct].
 
** <i>Exotic and qq̅ resonances in the &pi;&pi;-&pi;- system produced in &pi;- p collisions at 18 GeV/c</i>, S.U. Chung, <i>et al.</i> (E852 Collaboration), Phys. Rev. D<b>65</b>, (2002),1-16,[http://prola.aps.org/abstract/PRD/v65/i7/e072001 PRD].
 
** <i>Exotic and qq̅ resonances in the &pi;&pi;-&pi;- system produced in &pi;- p collisions at 18 GeV/c</i>, S.U. Chung, <i>et al.</i> (E852 Collaboration), Phys. Rev. D<b>65</b>, (2002),1-16,[http://prola.aps.org/abstract/PRD/v65/i7/e072001 PRD].
** <i>Observation of Exotic Meson Production in the Reaction &pi;-p&rarr; &eta;' &pi;- p at 18 GeV/c </i>, E.I. Ivanov (E852 Collaboration), Phys. Rev. Lett.<b>86</b> (2001), 3977.
+
** <i>Observation of Exotic Meson Production in the Reaction &pi;-p&rarr; &eta;' &pi;- p at 18 GeV/c </i>, E.I. Ivanov (E852 Collaboration), Phys. Rev. Lett.<b>86</b> (2001), 3977, [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.86.3977 PRL].
 
** <i>Study of reaction &pi;-A &rarr; &pi;+ &pi;- &pi;- A at VES setup</i>, I. Kachaev (VES Collaboration), (2001), [http://arxiv.org/abs/hep-ex/0111067v1 arXiv].
 
** <i>Study of reaction &pi;-A &rarr; &pi;+ &pi;- &pi;- A at VES setup</i>, I. Kachaev (VES Collaboration), (2001), [http://arxiv.org/abs/hep-ex/0111067v1 arXiv].
 
** <i>The J<sup>PC</sup>=1<sup>−+</sup> hunting season at VES</i>, V. Dorofeev (VES Collaboration), (2001), [http://arxiv.org/abs/hep-ex/0110075v1 arXiv].
 
** <i>The J<sup>PC</sup>=1<sup>−+</sup> hunting season at VES</i>, V. Dorofeev (VES Collaboration), (2001), [http://arxiv.org/abs/hep-ex/0110075v1 arXiv].

Latest revision as of 11:13, 15 August 2019

GlueX Physics

Review Papers

Mesons in the Quark Model

Exotic Quantum Number Mesons

Exotic Quantum Numbers

As noted in the Quark Model chapter, simple q{\bar  q} systems can have the following JPC quantum

numbers:
0-+, 0++, 1--, 1+-, 1++, 2--, 2-+, 2++, 3--, 3+-, 3++, .... (1)

It was also noted that there were a number of JPC quantum numbers that are not

allowed for q{\bar  q} systems:

0--, 0+-, 1-+, 2+-, 3-+, .... (2)


Observation of a state from equation (2) would indicated something outside the simple quark model picture. Such states could include multi-quark states such as q{\bar  q}q{\bar  q}, glueballs (states containing only gluons) gg,ggg, or hybrid mesons, written schematically as q{\bar  q}g. In fact, the manifest glue represents an excitation of the gluonic field binding the q{\bar  q} system. For a more detailed description of the statos these states, please consult the recent review papers mentioned in this note. Various models make predictions for expected quantum numbers and masses for these states.

Naming Conventions

The notation used throughout this article to represent hybrid mesons is that which is currently in use by the Particle Data Group. In their notation, the parity and charge conjugation determine the name of thehybrid, which is taken as the name of the normal meson of the same J,P,C and isospin. The total spin is then used as a subscript to the name. The PDG naming scheme for the hybrid mesons from the flux-tube model is given in Table 1.


JPC (IG) (IG) (I)
0-- (1-) ρ0 (0+) ω01 (1/2) K*1
0+- (1+) b0 (0+) h0,h'0 (1/2) K*0
1-+ (1-) π1 (0+) η1'1 (1/2) K*1
2+- (1+) b2 (0+) h2,h'2 (1/2) K*2

Table 1: The naming scheme for exotic quantum number mesons.


There is also an older naming scheme for exotic quantum number states in which the name is given by the JP of the state. The odd C-parity in then indicated by placing a hat over the name. This is no longer in common use.


JPC (IG) (IG) (I)
0-- (1-) {\hat  \pi }0 (0+) {\hat  \eta }0,{\hat  \eta }'1 (1/2) K*0
0+- (1+) {\hat  a}0 (0+) {\hat  f}0,{\hat  f}'0 (1/2) K*0
1-+ (1-) {\hat  \rho }1 (0+) {\hat  \omega }1,{\hat  \phi }1 (1/2) K*1
2+- (1+) {\hat  a}2 (0+) {\hat  f}2,{\hat  f}'2 (1/2) K*2

Table 1: The older naming scheme for exotic quantum number mesons. This is no longer in common use.

Models of non q{\bar  q} Mesons

The Bag Model

QCD Sum Rules

The Flux-tube Model


JPC (IG) (IG) (I)
1++ (1-) a1 (0+) f1,f'1 (1/2) K1
1-- (1+) ρ1 (0-) ω11 (1/2) K*1
0-+ (1-) π0 (0+) η0'0 (1/2) K0
1-+ (1-) π1 (0+) η1'1 (1/2) K*1
2-+ (1-) π2 (0+) η2'2 (1/2) K2
0+- (1+) b0 (0+) h0,h'0 (1/2) K*0
1+- (1+) b1 (0+) h1,h'1 (1/2) K1
2+- (1+) b2 (0+) h2,h'2 (1/2) K*2

Table 3: The naming scheme for hybrid mesons from the flux-tube model.

Lattice Calculations

Here we present a brief summary of lattice results related to exotic quantum number mesons. A more detailed description can be found in the section on Lattice QCD Calculations.

The Experimental Situation

The π1(1400)

The π1(1600)

The π1(2015)

References

  • Experimental Measurements
    • Precision Meson Spectroscopy at COMPASS, The COMPASS Collaboration, arXiv:1002.1272, (2010), arXiv.
    • Observation of a JPC=1-+ exotic resonance in diffractive dissociation of 190 GeV/c pi- into pi- pi- pi+, The COMPASS Collabration, arXiv:0910.5842, (2009), arXiv.
    • Search for the photo-excitation of exotic mesons in the π+ π+ π- system, M. Nozar, et al. (CLAS Collaboration), Phys. Rev. Lett. 102 (2009), 102002, PRL.
    • Partial wave analysis of the π-π-π+ and π-π0π0 systems and the search for a JPC=1-+ meson, A.R. Dzierba, et al., Phys. Rev. D73, (2006), 072001, PRD.
    • Exotic Meson Decays to ω πoπ-, M. Lu et al. (E852 Collaboration), Phys. Rev.94, (2005), 032002, PRL.
    • Study of the Reaction π-p → η' π0 n at the VES Spectrometer, Y. Guoz (VES Collaboration), AIP Conf. Proc. 717 (2004) 145-149.
    • Exotic Meson Production in the f1(1285) π- System observed in the Reaction π-p → η π+ π- π- p at 18 GeV/c, J. Kuhn (E852 Collaboration), Phys. Lett. B595, (2004), 109-117, Science Direct.
    • ρ π states in the anti-proton neutron annihilation into π- 3π0, F. Meyer-Wildhagen et al. (Crystal Barrel Collaboration), Nucl. Phys. A721 (2003), 605-608, Science Direct.
    • Exotic and qq̅ resonances in the ππ-π- system produced in π- p collisions at 18 GeV/c, S.U. Chung, et al. (E852 Collaboration), Phys. Rev. D65, (2002),1-16,PRD.
    • Observation of Exotic Meson Production in the Reaction π-p→ η' π- p at 18 GeV/c , E.I. Ivanov (E852 Collaboration), Phys. Rev. Lett.86 (2001), 3977, PRL.
    • Study of reaction π-A → π+ π- π- A at VES setup, I. Kachaev (VES Collaboration), (2001), arXiv.
    • The JPC=1−+ hunting season at VES, V. Dorofeev (VES Collaboration), (2001), arXiv.
    • Evidence for a ηπ-wave with odd angular momentum in antiproton-proton-annhilations at rest into π0π0η, A. Abele et al. (Crystal Barrel Collaboration), Phys. Lett. B446 (1999), 349, Science Direct.
    • Observation of a New JPC)=1-+ Exotic State in the Reaction π-p→π+π-π-p at 18 GeV/c, G.S. Adams (E852 Collaboration), Phys. Rev. Lett. 26 (1998), 5760.
    • Exotic ηπ State in antiproton-deuterium Annihilation at Rest into ηπ-π0 pspectator, A. Abele et al. (Crystal Barrel Collaboration), Phys. Lett. B423 (1998), 175.
    • Study of resonance production in diffractive reaction π- A → π+ π- π- A, D.V. Amelin (VES Collaboration), Phys. Lett. B356, (1995), 595, Science Direct.
    • Study of π- N → η π- N and π- N → η' π- N reactions at 37-GeV/c, G.M. Beladidze (VES Collaboration), Phys. Lett. B313, (1993), 276-282.
  • Model Calculations and Interpretations
    • Study of the eta pi and eta-prime pi spectra and interpretation of possible exotic JPC=1-+ mesons, A.P. Szczepaniak, M. Swat, A.R. Dzierba and S. Teige, Phys. Rev. Lett. 91 (2003), 092002, PRL.

Lattice QCD Calculations

Photoproduction

Strong Decay Models