Compositeness of dynamically generated states in a chiral unitary approach

Details Compositeness of dynamically generated states in a chiral unitary approach Compositeness of dynamically generated states in a chiral unitary approach

2011-08-29

arxiv.org/abs/1108.5524v2

Phys.Rev.C85:015201,2012

Physics

Nuclear Physics

Nuclear Theory

18 pages, 5 figures, title changed, published version

Scientific paper

10.1103/PhysRevC.85.015201

The structure of dynamically generated states in the chiral unitary approach is studied from a viewpoint of their compositeness. We analyze the properties of bound states, virtual states, and resonances in a single-channel chiral unitary approach, paying attention to the energy dependence of the chiral interaction. We define the compositeness of a bound state using the field renormalization constant which is given by the overlap of the bare state and the physical state in the nonrelativistic quantum mechanics, or by the residue of the bound state propagator in the relativistic field theory. The field renormalization constant enables one to define a normalized quantitative measure of compositeness of the bound state. Applying this scheme to the chiral unitary approach, we find that the bound state generated by the energy-independent interaction is always a purely composite particle, while the energy-dependent chiral interaction introduces the elementary component, depending on the value of the cutoff parameter. This feature agrees with the analysis of the effective interaction by changing the cutoff parameter. A purely composite bound state can be realized by the chiral interaction only when the bound state lies at the threshold or when the strength of the two-body attractive interaction is infinitely large. The natural renormalization scheme, introduced by the property of the loop function and the matching with the chiral low-energy theorem, is shown to generate a bound state which is dominated by the composite structure when the binding energy is small.

Affiliated with

Also associated with

No associations

Rating

Compositeness of dynamically generated states in a chiral unitary approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Compositeness of dynamically generated states in a chiral unitary approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compositeness of dynamically generated states in a chiral unitary approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-126176