Chiral Expansion, Renormalization and the Nuclear Force
نویسندگان
چکیده
A piece of standard wisdom in nuclear physics has been the long distance dominance of pion exchanges of the nuclear force while the short range component is fairly unknown [ 1]. Such a situation seems a fertile ground for Effective Field Theories [ 2, 3]. Actually, the functional dependence of the long range piece is calculable within chiral perturbation theory [ 4, 5] yielding for the reduced potential (U(r) = MV (r)) U(r) = MNmπ mπ f 2 π W (mπr) + mπ f 4 π W (mπr) + mπ f 4 π mπ MN W (mπr) + . . . }
منابع مشابه
Neutron matter at finite temperature
The nuclear equation of state plays a central role in the physics of neutron stars and core-collapse supernovae. Renormalization group methods coupled with effective field theory offer a systematic approach to nuclear matter: For low-momentum interactions Vlow k with cutoffs around 2 fm−1, the strong short-range repulsion in conventional nucleon-nucleon (NN) interactions and the tensor force ar...
متن کاملBaryon self energies in the chiral loop expansion
We compute the self energies of the baryon octet and decuplet states at the one-loop level applying the manifestly covariant chiral Lagrangian. It is demonstrated that expressions consistent with the expectation of power counting rules arise if the self energies are decomposed according to the Passarino-Veltman scheme supplemented by a minimal subtraction. This defines a partial summation of th...
متن کاملRenormalization of the meson-baryon SU(3) Lagrangian in chiral perturbation theory to order q 3
Renormalization of the meson-baryon SU(3) Lagrangian in chiral perturbation theory to order q We perform the complete regularization of all Green functions with a single incoming and outgoing baryon to order q 3 in the low energy expansion for the SU(3) meson-baryon system in chiral perturbation theory. The divergences can be extracted in a chiral invariant manner by making use of the heat kern...
متن کاملUnitarized chiral perturbation theory of hadrons
An exposition is made of recent developments using techniques of unitary chiral perturbation theory, UχPT , which allows one to extend predictions using chiral Lagrangians to higher energies than ordinary chiral perturbation theory, including the region of low lying mesonic and baryonic resonances, some of which are dynamically generated in the approach. Results for meson meson scattering, pion...
متن کاملLow-momentum interactions for nuclei
We show how the renormalization group is used to construct a lowmomentum nucleon-nucleon interaction Vlow k, which unifies all potential models used in nuclear structure calculations. Vlow k can be directly applied to the nuclear shell model or to nucleonic matter without a G matrix resummation. It is argued that Vlow k parameterizes a high-order chiral effective field theory two-nucleon force....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006