Nucleon Higher Partial-Wave Scattering from Lattice QCD.

Abstract

We present a determination of nucleon-nucleon scattering phase shifts for $\ell \text{beq}0$. The S, P, D and F phase shifts for both the spin-triplet and spin-singlet channels are computed with lattice Quantum ChromoDynamics. For $\ell >0$, this is the first lattice QCD calculation using the Lüscher finite-volume formalism. This required the design and implementation of novel lattice methods involving displaced sources and momentum-space cubic sinks. To demonstrate the utility of our approach, the calculations were performed in the SU(3)-flavor limit where the light quark masses have been tuned to the physical strange quark mass, corresponding to $m_{\pi }=m_K\approx 800$ MeV. In this work, we have assumed that only the lowest partial waves contribute to each channel, ignoring the unphysical partial wave mixing that arises within the finite-volume formalism. This assumption is only valid for sufficiently low energies; we present evidence that it holds for our study using two different channels. Two spatial volumes of $V\approx (3.5fm{)}^3$ and $V\approx (4.6fm{)}^3$ were used. The finite-volume spectrum is extracted from the exponential falloff of the correlation functions. Said spectrum is mapped onto the infinite volume phase shifts using the generalization of the Lüscher formalism for two-nucleon systems.

Enrico Rinaldi

Research Scientist

My research interests include artificial intelligence and quantum computing applied to particle physics and quantum many-body systems.