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We investigate the mass spectrum of the pentaquark baryon ($ udud \bar s $)in quenched lattice QCD with exact chiral symmetry. Using 3 differentinterpolating operators for $ \Theta $, we measure the $ 3 \times 3 $correlation matrix and obtain the eigenvalues $ A^{\pm} (t) $ with $ \pm $parity, for 100 gauge configurations generated with Wilson gauge action at $\beta = 6.1 $ on the $ 20^3 \times 40 $ lattice. For the lowest-lying $ J^P =1/2^- $ state, its mass is almost identical to that of the KN S-wave, while forthe lowest-lying $ J^P = 1/2^+ $ state, its mass is smaller than that of the KNP-wave, especially for the regime $ m_u < m_s $. By chiral extrapolation(linear in $m_\pi^2$) to $ m_\pi = 135 $ MeV, we obtain the masses of thelowest-lying states: $ m(1/2^-) = 1424(57) $ MeV and $ m(1/2^+) = 1562(121) $MeV, in agreement with the masses of $ m_K + m_N \simeq 1430 $ MeV and $\Theta^+(1540) $ respectively.Comment: LaTeX, 23 pages, 11 EPS figures, to appear in Physical Review

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>Θ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mi>d</mml:mi><mml:mi>u</mml:mi><mml:mi>d</mml:mi><mml:mover accent="true"><mml:mi>s</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mo stretchy="false">)</mml:mo></mml:math>in lattice QCD with exact chiral symmetry

Study ofΘ+(ududs¯)in lattice QCD with exact chiral symmetry