M. Pavon Valderrama

The Heavy Quark Spin Symmetry Partners of the X(3872)

We explore the consequences of heavy quark spin symmetry for the charmed meson-antimeson system in a contact-range (or pionless) effective field theory. As a trivial consequence, we theorize the existence of a heavy quark spin symmetry partner of the X(3872), with

Renormalization of the NN interaction with a chiral two-pion-exchange potential : Central phases and the deuteron

J^{PC}=2^{++}

Deriving the existence of

, which we call X(4012) in reference to its predicted mass. If we additionally assume that the X(3915) is a

B\bar{B}^*

0^{++}

bound states from the X(3872) and Heavy Quark Symmetry

heavy spin symmetry partner of the X(3872), we end up predicting a total of six

Renormalization of the deuteron with one pion exchange

D^{(*)}\bar{D}^{(*)}

Power Counting and Perturbative One Pion Exchange in Heavy Meson Molecules

molecular states. We also discuss the error induced by higher order effects such as finite heavy quark mass corrections, pion exchanges and coupled channels, allowing us to estimate the expected theoretical uncertainties in the position of these new states.

Renormalization of singlet NN-scattering with one pion exchange and boundary conditions

We analyze the renormalization of the NN interaction at low energies and the deuteron bound state through the chiral two-pion-exchange potential assumed to be valid from zero to infinity. The short distance van der Waals singularity structure of the potential as well as the requirement of orthogonality conditions on the wave functions determine that after renormalization, in the {sup 1}S{sub 0} singlet channel and in the {sup 3}S{sub 1}-{sup 3}D{sub 1} triplet channel, one can use the deuteron binding energy, the asymptotic D/S ratio, and the S-wave scattering lengths as well as the chiral potential parameters as independent variables. We use then the asymptotic wave function normalization A{sub S} of the deuteron and the singlet and triplet effective ranges to determine the chiral constants yielding c{sub 1},c{sub 3}, and c{sub 4}. The role of finite cutoff corrections, the loss of predictive power due to uncertainties in the input data, and the connection to one-pion-exchange distorted wave perturbative approaches is also discussed.

Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves

We discuss the possibility and the description of bound states between

Renormalization of the NN interaction with a chiral two-pion exchange potential. II. Noncentral phases

B