Abstract
We consider an exotic baryon (pentaquark) as a bound state of two-body systems composed of a baryon (nucleon) and a meson. We used a baryon-meson picture to reduce a complicated five-body problem to simple two-body problems. The homogeneous Lippmann-Schwinger integral equation is solved in configuration space by using one-pion exchange potential. We calculate the masses of pentaquarksθc(uuddc¯)andθb(uuddb¯).
Highlights
There are two types of hadrons, baryons and mesons
Baryons are equivalent to the bound states of three quarks, and mesons are known to be the bound states of a quark and an antiquark
We consider a pentaquark as a bound state of a two-particle system formed by a baryon and a meson
Summary
There are two types of hadrons, baryons and mesons. Baryons are equivalent to the bound states of three quarks, and mesons are known to be the bound states of a quark and an antiquark. Pentaquark θ+, studied in photo production experiments [1, 2], is a prototype of exotic hadrons in light and strong quark sector. Θc and θb: the existence of the bound exotic hadron θc was predicted through bound Skyrmion approach. This particle has a mass of 2650 MeV and quantum. In a quark model which includes color-spin interaction, it can be bound and despite its strong decay, it becomes stable [12]. The mass dependent on the model parameters is predicted to be 2420 MeV This state was traced in the Fermilab E791 experiment via φπp mode [13] and K∗0K−p mode [14].
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