2016
DOI: 10.1155/2016/6480926
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Calculating Masses of Pentaquarks Composed of Baryons and Mesons

Abstract: In this paper, 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 baryonmeson picture to reduce a complicated five-body problem to a 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 pentaquarks θ c (uuddc), θ b (uuddb)

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Cited by 14 publications
(8 citation statements)
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“…Here, the obtained results indicate that the binding energy ranging − 102 ≤ E B ≤ −0:11 for pentaquark P c ð4380Þ is negative. Also, it conforms to calculated results in the literatures [2,[20][21][22][23]. As mentioned above, obtained results are acceptable to a great extent, and they could be considered a clear evidence for the existence of a bound of five-quark state.…”
Section: Solving the Schrödinger Equation For Pentaquark P Csupporting
confidence: 91%
“…Here, the obtained results indicate that the binding energy ranging − 102 ≤ E B ≤ −0:11 for pentaquark P c ð4380Þ is negative. Also, it conforms to calculated results in the literatures [2,[20][21][22][23]. As mentioned above, obtained results are acceptable to a great extent, and they could be considered a clear evidence for the existence of a bound of five-quark state.…”
Section: Solving the Schrödinger Equation For Pentaquark P Csupporting
confidence: 91%
“…In Ref. [11], the authors reduced the complications of studying five-quark systems by considering the pentaquark as being a bound state composed of a baryon and a meson, thereafter solving the Lippmann-Schwinger equation for this system to obtain approximate masses for some pentaquark states. In Ref.…”
Section: Introductionmentioning
confidence: 99%
“…In our previous works, we solved the Schrödinger equation for different potentials for few-quark systems [22][23][24][25]. In a more recent work, we investigated the relativistic Klein-Gordon equation analytically for the Deng-Fan potential and Hulthen plus Eckart potential under the equal vector and scalar potential conditions [26].…”
Section: Introductionmentioning
confidence: 99%