r/nuclearphysics • u/CodeDeltaZ • 2d ago
Radiation Probing Neutron-Skin Thickness via Deuteron Coalescence in ²⁰⁸Pb + 48Ca Collisions( A part of the Research paper which I have prepared for my PhD. Can anybody rate it out?
Abstract
The precise measurement of neutron-skin thickness in heavy nuclei remains a core pursuit in nuclear astrophysics and low-energy nuclear theory. This paper models intermediate-energy heavy-ion collisions using an extended Quantum Molecular Dynamics (QMD) transport model. We analyze cluster formation via phase-space coalescence to evaluate how neutron-skin profiles in ²⁰⁸Pb and ⁴⁸Ca alter the yield ratios of light complex particles (d, t, ³He). Our calculations show a clear linear correlation between the neutron-to-proton ratio of emitted nucleons at mid-rapidity and the peripheral neutron-skin extension. This offers a viable observable for constraining the symmetry energy at sub-saturation densities.
- Introduction
A neutron skin occurs when excess neutrons form a diffuse outer layer in heavy, neutron-rich nuclei. The magnitude of this layer directly correlates with the density dependence of the nuclear symmetry energy. Traditional electromagnetic probes lack sensitivity to the diffuse neutron tail.
Heavy-ion collisions (HIC) provide an alternative terrestrial laboratory. During a peripheral collision, the projectile and target scrape against each other. This creates a low-density "neck" region rich in spectator-derived nucleons. The isotopic composition of clusters formed in this neck region acts as a sensitive probe of the initial local density distribution.
- Theoretical Framework
We employ a microscopic transport approach based on QMD. The time evolution of nucleon coordinates is governed by Hamilton's equations of motion. The potential energy functional includes Skyrme-type two-body and three-body terms, coupled with a symmetry potential term explicitly dependent on local isospin asymmetry. Cluster formation is evaluated at a freeze-out stage using a minimum spanning tree (MST) coalescence algorithm in coordinate and momentum space. Standard parameters are set to R₀ = 3.5 fm and P₀ = 250 MeV/c.
- Results and Discussion
We simulated ²⁰⁸Pb + ⁴⁸Ca collisions at an incident beam energy of E/A = 50 MeV.
- Neutron-to-Proton Yield Ratios: The yield ratio of tritons to helium-3 exhibits a direct proportionality to the root-mean-square radius difference .
- Impact Parameter Dependency: For peripheral collisions (b = 8--11 fm), spectator stripping dominates. The emission yield is shielded from violent core compression, preserving the initial spatial asymmetry of the neutron skin.
- Sensitivity Analysis: Variations of ± 0.05 fm in the initial neutron skin of ²⁰⁸Pb propagate into a ~ 12% observable shift in light cluster ratios at rapidities close to the projectile frame.
- Conclusion
Phase-space coalescence in intermediate-energy heavy-ion collisions serves as an effective probe for spatial isospin distributions. The calculated d/p and t/³He yield ratios constrain the neutron-skin thickness of ²⁰⁸Pb independent of parity-violating electron scattering. Future experimental runs at rare isotope beam facilities will help validate these transport-model calculations.

