TY  - JOUR
AU  - Pavon Valderrama, M.
PY  - 2012
DA  - 2012//
TI  - Power counting and perturbative one pion exchange in heavy meson molecules
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 114037
EP  - 21pp
VL  - 85
IS  - 11
PB  - Amer Physical Soc
AB  - We discuss the possible power counting schemes that can be applied in the effective field theory description of heavy meson molecules, such as the X(3872) or the recently discovered Z(b)(10610) and Z(b)(10650) states. We argue that the effect of coupled channels is suppressed by at least two orders in the effective field theory expansion, meaning that they can be safely ignored at lowest order. The role of the one pion exchange potential between the heavy mesons, and, in particular, the tensor force, is also analyzed. By using techniques developed in atomic physics for handling power-law singular potentials, which have been also successfully employed in nuclear physics, we determine the range of center-of-mass momenta for which the tensor piece of the one pion exchange potential is perturbative. In this momentum range, the one pion exchange potential can be considered a subleading order correction, leaving at lowest order a very simple effective field theory consisting only of contact-range interactions.
SN  - 1550-7998
UR  - http://arxiv.org/abs/1204.2400
UR  - https://doi.org/10.1103/PhysRevD.85.114037
DO  - 10.1103/PhysRevD.85.114037
LA  - English
N1  - WOS:000305560900006
ID  - PavonValderrama2012
ER  -