Fast Evaluation of Multi-Hadron Correlation Functions

TL;DR

This paper introduces a fast computational method for nuclear correlation functions by expressing them as sums of determinants of small matrices, leveraging similarities to reduce calculation time.

Contribution

It presents a novel approach that significantly accelerates the evaluation of multi-hadron correlation functions using determinant-based representations.

Findings

Reduced computational complexity for correlation function evaluation

Demonstrated speedup in calculations compared to traditional methods

Applicable to large nuclear systems with many particles

Abstract

Calculating the values of nuclear correlation functions is computationally intensive due to the fact that the number of terms in a nuclear wave function scales exponentially with atomic number. To speed up this computation, we represent a correlation function as a sum of the determinants of many small matrices, and exploit similarities between the matrices to speed up the calculations of those determinants.