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Register a new user$D D^{*}$ potentials in chiral perturbation theory and possible molecular states
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The $DD^{*}$ potentials are studied within the framework of heavy meson chiral effective field theory. We have obtained the effective potentials of the $DD^{*}$ system up to $O(epsilon^2)$ at one loop level. In addition to the one-pion exchange contribution, the contact and two-pion exchange interactions are also investigated in detail. Furthermore, we have searched for the possible molecular states by solving Schrodinger equation with the potentials. We notice that the contact and two-pion exchange potentials are non-negligible numerically and important for the existence of a bound state. In our results, no bound state is founded in the $I=0$ channel within a wide range of cutoff parameter, while there exists a bound state in the $I=1$ channel as cutoff is near $m_rho$ in our approach.
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We have systematically investigated the magnetic moments and magnetic form factors of the decuplet baryons to the next-to-next-leading order in the framework of the heavy baryon chiral perturbation theory. Our calculation includes the contributions from both the intermediate decuplet and octet baryon states in the loops. We also calculate the charge and magnetic dipole form factors of the decuplet baryons. Our results may be useful to the chiral extrapolation of the lattice simulations of the decuplet electromagnetic properties.
We determine the masses and decay constants of pseudoscalar mesons $ D $, $ D_s $, and $ K $ in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with single-plaquette action at $ beta = 6.1 $ on the $ 20^3 times 40 $ lattice, we compute point-to-point quark propagators for 30 quark masses in the range $ 0.03 le m_q a le 0.80 $, and measure the time-correlation functions of pseudoscalar and vector mesons. The inverse lattice spacing $ a^{-1} $ is determined with the experimental input of $ f_pi $, while the strange quark bare mass $ m_s a = 0.08 $, and the charm quark bare mass $ m_c a = 0.80 $ are fixed such that the masses of the corresponding vector mesons are in good agreement with $ phi(1020) $ and $ J/psi(3097) $ respectively. Our results of pseudoscalar-meson decay constants are $ f_K = 152(6)(10) $ MeV, $ f_D = 235(8)(14)$ MeV, and $ f_{D_s} = 266(10)(18) $ MeV.
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