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The in-medium mass of a $\thetaplus$, $\mtheta^*$, in cold symmetric nuclearmatter is calculated by using the quark-meson coupling model. The $\Theta^+$ istreated as an MIT bag with the quark content $uudd\bar s$. Bag parameters for afree $\thetaplus$ are fixed to reproduce the observed mass of the $\thetaplus$.In doing so, we use three different values of the $s$-quark mass since the massof the $s$-quark is not well known. As usual, the strengths of the $u$ and $d$quark couplings to $\sigma$- and $\omega$-meson fields are determined to fitthe nuclear saturation properties. However, the coupling constant $g_\sigma^s$between the $s$-quark and the $\sigma$-meson cannot be fixed from thesaturation properties, and thus we treat $g_\sigma^s$ as a free parameter andinvestigate how $\mtheta^*$ depends on $g_\sigma^s$. %$\mtheta^*$ is calculatedup to 2.5 times the nuclear saturation density, %and we find that We find that$\mtheta^*$ depends significantly on the value of $g_\sigma^s$ but not on themass of the $s$-quark. Chemical potentials of the $\Theta^+$ and the $K+N$system are calculated to discuss the decay of a $\Theta^+$ in nuclear matter.We calculate the effective mass of a kaon in nuclear matter in two ways; usingthe optical potential of $K^-$ in matter and using quark model. By comparingthe effective masses calculated from these two methods, we find the magnitudeof the real part of the optical potential that is consistent with the usualquark model is about 100 MeV.Comment: 16 pages, 4 figures, 3 table

physical review. c. nuclear physics/physical review. c, nuclear physics

Effective mass and decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>Θ</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>in nuclear matter by using the quark-meson coupling models

Effective mass and decay ofΘ+in nuclear matter by using the quark-meson coupling models