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{theta}{sup +}-Pentaquark parity from associative baryon production in {pi}d collisions, {pi}{sup {+-}} + d {sup {yields}} {theta}{sup +} + {sigma}{sup {+-}}

Journal Article · · Physics of Atomic Nuclei
 [1]
  1. National Science Center Kharkov Institute of Physics and Technology (Ukraine)
We derive, in model-independent way, the spin structure of the matrix element for the reaction of associative {theta}{sup +}-pentaquark production, {pi}{sup {+-}} + d {sup {yields}} {theta}{sup +} + {sigma}{sup {+-}}, in the threshold region and in collinear kinematics. The expressions for the polarization observables in this reaction are found assuming spin 1/2 and different parities for {theta}{sup +}. We have proved that such a reaction can be used for a model-independent determination of the P parity of {theta}{sup +} only by measuring the {theta}{sup +} polarization. Other polarization observables, such as the dependence of the {sigma}{sup {+-}} polarization on the vector and tensor deuteron polarizations, are insensitive to the {theta}{sup +} parity under the considered kinematical conditions. The linear and quadratic relations between polarization observables in {pi}{sup {+-}}+d{sup {yields}}{yields}{theta}{sup +}+{sigma}{sup {yields}}{sup {+-}} ({theta}{sup +} is unpolarized) do not depend on the parity of the {theta}{sup +} pentaquark. The analysis performed for this reaction is also applicable without any modification to the reaction K{sup +} + d {sup {yields}} {theta}{sup +} + p. Using the pole model for the reaction mechanism, we estimated the value of the cross section for the reaction K{sup +} + d {sup {yields}} {theta}{sup +} + p near the threshold.
OSTI ID:
21076060
Journal Information:
Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 5 Vol. 69; ISSN 1063-7788; ISSN PANUEO
Country of Publication:
United States
Language:
English