REVIEW 1 cited by
Asymptotic behavior of Nambu-Bethe-Salpeter wave functions for scalar systems with a bound state
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We study the asymptotic behaviors of the Nambu-Bethe-Salpeter (NBS) wave functions, which are important for the HAL QCD potential method to extract hadron interactions, in the case that a bound state exists in the system. We consider the complex scalar particles, two of which lead to the formation of a bound state. In the case of the two-body system, we show that the NBS wave functions for the bound state as well as scattering states in the asymptotic region behave like the wave functions in quantum mechanics, which carry the information of the binding energy as well as the scattering phase shift. This analysis theoretically establishes under some conditions that the HAL QCD potential can correctly reproduce not only the scattering phase shift but also the binding energy. As an extension of the analysis, we also study the asymptotic behaviors of all possible NBS wave functions in the case of the three-body systems, two of which can form a bound states.
Forward citations
Cited by 1 Pith paper
-
Hermitizing the HAL QCD potential in the derivative expansion
A formalism is given to convert the non-Hermitian HAL QCD potential into a Hermitian one order by order, with exact treatment at next-to-leading order, and the NLO correction for Xi-Xi(1S0) is small.
Discussion (0). Continue with ORCID to comment.