Form Factors in the Algebraic Cluster Model

TL;DR

This paper derives explicit formulas for form factors in the Algebraic Cluster Model applicable to any number of identical clusters, with specific closed-form results for harmonic and deformed oscillator limits, relevant across various physical domains.

Contribution

It provides the first comprehensive derivation of form factors in the Algebraic Cluster Model for arbitrary cluster numbers, including closed-form solutions for key oscillator limits.

Findings

Closed-form expressions for form factors in harmonic oscillator limit.

Closed-form expressions for form factors in deformed oscillator limit.

Applicability to nuclear, molecular, and hadronic physics.

Abstract

I present a derivation of form factors in the Algebraic Cluster Model for an arbitrary number of identical clusters. The form factors correspond to representation matrix elements which are derived in closed form for the harmonic oscillator and deformed oscillator limits. These results are relevant for applications in nuclear, molecular and hadronic physics.