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Confronting K-d dynamics with kaonic atom measurements within a novel unitary framework

Abstract

We study the low-energy interaction of negative kaons with deuterons using chiral K̅N interaction models (OR and BCN) as input. The three-body K-d amplitude is constructed within the Fixed-Center Approximation to the Faddeev equations, where the unitary constraints missing in the conventional approach are formally implemented with the incorporation of coherent multiple-scattering processes. The unitary procedure is extended to coupled channels including charge-exchange processes, as well as isospin-breaking effects through the use of physical particle masses. This provides a consistent description of the low-energy K-d amplitude and allows for the determination of the scattering length and the effective range. The resulting framework is then used to assess the compatibility of the BCN K̅N interaction model with the recent SIDDHARTA-2 measurements of kaonic hydrogen and kaonic deuterium through a bootstrap analysis. The procedure leads to a readjustment of the BCN parameterization which produces visible effects in several isospin-sensitive K̅N scattering observables, hence highlighting the additional information provided by the new kaonic-atom measurements to better constrain the poorly known isovector component of the K̅N interaction.

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BibTeX
@misc{feijoo2026confronting,
  title = {{Confronting $K^-d$ dynamics with kaonic atom measurements within a novel unitary framework}},
  author = {Albert Feijoo and Àngels Ramos and Juan Torres-Rincon},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01977},
  eprint = {2610.01977},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01977},
}
RIS
TY  - UNPB
TI  - Confronting K^-d dynamics with kaonic atom measurements within a novel unitary framework
AU  - Albert Feijoo
AU  - Àngels Ramos
AU  - Juan Torres-Rincon
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01977
UR  - https://arxiv.org/abs/2610.01977
AB  - We study the low-energy interaction of negative kaons with deuterons using chiral K̅N interaction models (OR and BCN) as input. The three-body K^-d amplitude is constructed within the Fixed-Center Approximation to the Faddeev equations, where the unitary constraints missing in the conventional approach are formally implemented with the incorporation of coherent multiple-scattering processes. The unitary procedure is extended to coupled channels including charge-exchange processes, as well as isospin-breaking effects through the use of physical particle masses. This provides a consistent description of the low-energy K^-d amplitude and allows for the determination of the scattering length and the effective range. The resulting framework is then used to assess the compatibility of the BCN K̅N interaction model with the recent SIDDHARTA-2 measurements of kaonic hydrogen and kaonic deuterium through a bootstrap analysis. The procedure leads to a readjustment of the BCN parameterization which produces visible effects in several isospin-sensitive K̅N scattering observables, hence highlighting the additional information provided by the new kaonic-atom measurements to better constrain the poorly known isovector component of the K̅N interaction.
ER  -