NΛ interaction from a quark model: pΛ femtoscopy and the hypertriton
Abstract
Understanding the low-energy nucleon--Λ interaction is essential for describing hypernuclear structures, while its spin dependence remains insufficiently constrained by experimental data. In this work, we investigate the NΛ interaction using the quark delocalization color screening model and explore its implications for pΛ femtoscopy and the hypertriton. The energy and scattering phase shifts of the NΛ system are calculated, revealing weak attraction in both the JP=0+ and 1+ channels, but no bound states. The corresponding scattering lengths and effective ranges are found to be −2.36 fm and $1.61$ fm for JP=0+, and −0.95 fm and $1.46$ fm for JP=1+, respectively. Using the Gel'fand--Levitan--Marchenko inverse-scattering method, effective NΛ potentials are reconstructed from the coupled-channel scattering phase shifts and applied to calculate the pΛ femtoscopic correlation function. Comparison with experimental data suggests that the spin-triplet attraction may be underestimated in the present model. Furthermore, employing the Gaussian Expansion Method, we investigate the NNΛ three-body system and obtain a weakly bound hypertriton with a Λ separation energy of $1.06−−1.16$ MeV. These results demonstrate that pΛ femtoscopic correlations and hypertriton binding provide complementary probes of the spin-dependent NΛ interaction, offering valuable constraints on its low-energy behavior.
Related
- Extraction of All Partial-Wave Interaction Parameters via Femtoscopy: The Central-Force Case
- Quark mixing and CP violation due to torsional interaction
- One-nucleon intermediate-state contribution to the pion-coupled four-quark condensate in the N--J/ψ interaction
- Deconfinement Confined to the Heaviest Neutron Stars: Strange Quark Matter from a Flavor-Dressed Contact Interaction
- Comments on bfη' nuclei and on the Λ binding energy of the hypertriton
BibTeX
@misc{yan2026interaction,
title = {{$NΛ$ interaction from a quark model: $pΛ$ femtoscopy and the hypertriton}},
author = {Ye Yan and Qian Wu and Qi Huang and Hongxia Huang and Jialun Ping},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23041},
eprint = {2610.23041},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23041},
}
RIS
TY - UNPB
TI - NΛ interaction from a quark model: pΛ femtoscopy and the hypertriton
AU - Ye Yan
AU - Qian Wu
AU - Qi Huang
AU - Hongxia Huang
AU - Jialun Ping
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23041
UR - https://arxiv.org/abs/2610.23041
AB - Understanding the low-energy nucleon--Λ interaction is essential for describing hypernuclear structures, while its spin dependence remains insufficiently constrained by experimental data. In this work, we investigate the NΛ interaction using the quark delocalization color screening model and explore its implications for pΛ femtoscopy and the hypertriton. The energy and scattering phase shifts of the NΛ system are calculated, revealing weak attraction in both the J^P=0^+ and 1^+ channels, but no bound states. The corresponding scattering lengths and effective ranges are found to be −2.36 fm and $1.61$ fm for J^P=0^+, and −0.95 fm and $1.46$ fm for J^P=1^+, respectively. Using the Gel'fand--Levitan--Marchenko inverse-scattering method, effective NΛ potentials are reconstructed from the coupled-channel scattering phase shifts and applied to calculate the pΛ femtoscopic correlation function. Comparison with experimental data suggests that the spin-triplet attraction may be underestimated in the present model. Furthermore, employing the Gaussian Expansion Method, we investigate the NNΛ three-body system and obtain a weakly bound hypertriton with a Λ separation energy of $1.06−−1.16$ MeV. These results demonstrate that pΛ femtoscopic correlations and hypertriton binding provide complementary probes of the spin-dependent NΛ interaction, offering valuable constraints on its low-energy behavior.
ER -