Scholar iON
Academic Synthesis
The selected body of research within the "nucl-th" (nuclear theory) domain highlights significant debates and methodological advancements in nuclear physics, particularly in the analysis of nucleon-nucleus interactions and coupling constants. A key theme is the contention between different computational methods, such as the ECIS formulation, which faces criticism for its inability to account for nonlocality effects, as highlighted in Amos et al.'s work. This criticism underscores the importance of incorporating the Pauli principle in resonant low-energy processes. Additionally, the debates extend to the interpretation of experimental anomalies, such as neutrino-mixing effects in electron capture decay, and the determination of pion-baryon coupling constants from QCD sum rules. These discussions reflect ongoing efforts to refine theoretical models and improve the accuracy of nuclear interaction predictions, underscoring the dynamic and contested nature of methodological approaches in the field.
Recently, we published a paper (Nucl. Phys. A 728 (2003) 65; see nucl-th/0306068) presenting a new calculational method for nucleon-nucleus elastic scattering at low energies. That method is particularly appropriate for analyses in the region of narrow resonances. The method is based upon the sturmian representation of the S-matrix, and allows inclusion of nonlocality effects due to Pauli principle. It also provides a systematic identification of narrow-resonance spectra and subthreshold bound states. A phenomenological test calculation for low-energy (below 4 MeV) neutrons on 12-C (including the first two excitations of the target) was presented to illustrate the validity of the approach. The model calculation received a violent criticism (see nucl-th/0312038) by the developer of a method (ECIS) which to date cannot handle nonlocality effects and cannot be used easily to identify all narrow resonances. We demonstrate that Raynal's opposition to our development is not well founded by the arguments he presents. Indeed the work we published shows, on rewording the title of nucl-th/0312038, that it is ``aberrant'' phenomenologically to analyze resonant low-energy nucleon-nucleus processes with coupled-channel methods without taking into account the nonlocalities due to the Pauli principle; problems typically encountered in the ECIS formulation.
Below we analyze the `critic' statements made in the Preprint arXiv:1301.1828v1 [nucl-th]. The doubtful scientific argumentation of the authors of the Preprint arXiv:1301.1828v1 [nucl-th] is also discussed.
Here we reply critically to the comments by Giunti (arXiv:0801.4639 [nucl-th]) and justify our explanation of the experimentally observed periodic interference term in the rate of the K-shell electron capture decay of the H-like ions 140Pr58+ and 142Pm60+ as a neutrino-flavour mixing.
In response to Kim's comment (nucl-th/9903040) on the sum rules for pion-baryon coupling constants obtained in hep-ph/9512259 and hep-ph/9606471, we point out that our treatment of the continuum is consistent with duality and with the fact that the correlator in the presence of an external meson or field should be represented by a double dispersion relation.
Withdrawn by author. This paper was mistakenly submitted twice (See nucl-th/0604008)
This paper has been merged with the preprint nucl-th/0210057. The combined version is accepted for publication is Phys. Rev. C
This submission has been withdrawn by arXiv administrators because it is a duplicate of nucl-th/0610004.
This is an erratum to our previously published paper.
Recently, a longitudinal sum rule for the electric polarizability of nuclei was used to revise a relativistic correction in a dipole sum rule for the polarizability (nucl-th/9802011). This revision is shown to be wrong because of neglecting an asymptotic contribution in the underlying dispersion relation. The status and correct use of the longitudinal sum rule is clarified.