Partial-wave decomposition of the p--5ΛHe correlation function: a femtoscopic route to the 6ΛLi resonance
Abstract
The hypernucleus 6ΛLi is unbound against proton emission, so its resonances appear in the low-momentum p--5ΛHe correlation function, which femtoscopy can measure. We compute this correlation function in an α+Λ folding model of 5ΛHe: phenomenological pα and pΛ interactions are averaged over the internal α--Λ motion, and a single ΛN strength factor is fixed by the measured 6ΛHe binding energy. The model places the 6ΛLi 1− state at ER=0.60+0.11−0.10~MeV with Γ=0.18±0.05~MeV and produces a pronounced peak in C(k*) near 31 MeV/c. The predicted peak position, k*peak=√(2μER)=30.8±2.6 MeV/c, is uncertain mainly because of the measured BΛ(6ΛHe), not because of the ΛN interaction. An exact partial-wave decomposition shows that the P wave accounts for the entire enhancement over the Coulomb baseline, 79% of it from the 1− channel. A Lednický--Lyuboshitz analysis restricted to S waves therefore cannot describe this system. The maximum of the 1− channel lies within 1% of k*peak, but the unresolved 2− state and the momentum resolution shift the measured maximum upward by 2.4 MeV/c at σk*=3 MeV/c.
Related
- Femtoscopic Correlation Functions in Density Operator Representation
- Femtoscopic correlation functions between the lightest charmed hadrons
- Tensor Decomposition for Energy-Momentum Correlation Functions
- Dark-State-Mediated Low-Energy Electron Attachment to Molecular Oxygen: Symmetry Adapted Decomposition of the DEA Resonance through Dyson-Orbitals' Incoherent Mixing.
- Construction of Partial Join Graphs with Perfect State Transfer in Shunt Decomposition-Based Quantum Walks
BibTeX
@misc{li2026partialwave,
title = {{Partial-wave decomposition of the $p$--$^5_Λ\mathrmHe$ correlation function: a femtoscopic route to the $^6_Λ\mathrmLi$ resonance}},
author = {Dongsheng Li and Yifei Zhang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07213},
eprint = {2611.07213},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07213},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Partial-wave decomposition of the p--^5_ΛHe correlation function: a femtoscopic route to the ^6_ΛLi resonance
AU - Dongsheng Li
AU - Yifei Zhang
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07213
UR - https://arxiv.org/abs/2611.07213
AB - The hypernucleus ^6_ΛLi is unbound against proton emission, so its resonances appear in the low-momentum p--^5_ΛHe correlation function, which femtoscopy can measure. We compute this correlation function in an α+Λ folding model of ^5_ΛHe: phenomenological pα and pΛ interactions are averaged over the internal α--Λ motion, and a single ΛN strength factor is fixed by the measured ^6_ΛHe binding energy. The model places the ^6_ΛLi 1^− state at E_R=0.60^+0.11_−0.10~MeV with Γ=0.18±0.05~MeV and produces a pronounced peak in C(k^*) near 31 MeV/c. The predicted peak position, k^*_peak=√(2μE_R)=30.8±2.6 MeV/c, is uncertain mainly because of the measured B_Λ(^6_ΛHe), not because of the ΛN interaction. An exact partial-wave decomposition shows that the P wave accounts for the entire enhancement over the Coulomb baseline, 79% of it from the 1^− channel. A Lednický--Lyuboshitz analysis restricted to S waves therefore cannot describe this system. The maximum of the 1^− channel lies within 1% of k^*_peak, but the unresolved 2^− state and the momentum resolution shift the measured maximum upward by 2.4 MeV/c at σ_k^*=3 MeV/c.
ER -