Relativistic five-quark equations and the nature ofθpentaquarks

Abstract

The relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of the leading singularities of the amplitudes are obtained. The five-quark amplitudes for the low-lying pentaquarks including the u, d, s quarks are calculated. The poles of these amplitudes determine the masses of pentaquarks. The mass spectra of the isotensor pentaquarks with J P 1 2 ; 3 2 are calculated.

Relativistic five-quark equations and negative parity pentaquarks

“…It is determined by fixing of 0 sss P pentaquark mass (2250 MeV). The cutoff parameters coincide with those in Ref [15][15].…”

“…The cutoff parameters coincide with those in Ref [15][15]. The calculated mass values of low-lying pentaquarks 0 sss P are shown in TableI.…”

Exploration of charmed pentaquarks

“…The details of the integration contours of the function J 1 , J 2 , J 3 can be found in Ref. [30]. (7) and (11)).…”

RELATIVISTIC FIVE-QUARK EQUATIONS AND A NARROW N*(1688) RESONANCE

“…In this paper the relativistic generalization of five-quark equations (like FaddeevYakubovsky approach) are used in the form of the dispersion relation [20][21][22] baryons in our quark model [19].…”