Jacobi Coordinates on Hyper-tori and Geometric Factors in the Volume Dependencies

2025/11/10 by Yu, Hang
#FOS: Physical sciences #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2511.06726

Abstract

We derive the volume dependence of bound states from a cluster-cluster picture with nucleon degrees of freedom. To achieve this, we demonstrate how to construct Jacobi coordinates on the lattice under the periodic boundary. A constant factor called ``Geometric factor'' appears in the generalization from point-like particles to clusters. We validate our derivation using many-body calculations, specifically, we find this factor to be essential in extracting asymptotic normalization constants from lattice calculations of \isotope[16]O ground state.

Citations

• NuLattice: Ab initio computations of atomic nuclei on lattices
• Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Accurate nuclear radii and binding energies from a chiral interaction
• Theodore Dru Alison Cockerell
• Chiral effective field theory and nuclear forces
• Lattice simulations for few- and many-body systems
• Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory

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