On the Dynamical Evolution of the Arches Cluster

TL;DR

This study investigates the dynamical evolution of the Arches star cluster through N-body simulations, focusing on how different initial mass functions influence mass segregation, collisional runaway potential, and observable signatures like helium enrichment.

Contribution

It demonstrates that the initial stellar mass function critically affects the cluster's evolution, particularly the likelihood of collisional runaway and the formation of high-mass stars or black holes.

Findings

Standard Kroupa IMF unlikely to produce observed mass segregation.

Primordially mass-segregated IMF leads to collisional runaway within 2-3 Myr.

Wind mass loss can inhibit stellar growth and cause observable helium enrichment.

Abstract

We study the dynamical evolution of the young star cluster Arches and its dependence on the assumed initial stellar mass function (IMF). We perform many direct $N$-body simulations with various initial conditions and two different choices of IMFs. One is a standard Kroupa IMF without any mass segregation. The other is a radially dependent IMF, as presently observed in the Arches. We find that it is unlikely for the Arches to have attained the observed degree of mass segregation at its current age starting from a standard non-segregated Kroupa IMF. We also study the possibility of a collisional runaway developing in the first $\sim 2-3 \rm{Myr}$ of dynamical evolution. We find that the evolution of this cluster is dramatically different depending on the choice of IMF: if a primordially mass segregated IMF is chosen, a collisional runaway should always occur between $2-3 \rm{Myr}$ for a broad range of initial concentrations. In contrast, for a standard Kroupa IMF no collisional runaway is predicted. We argue that if Arches was created with a mass segregated IMF similar to what is observed today then at the current cluster age a very unusual, high-mass star should be created. However, whether a collisional runaway leads to the formation of an intermediate-mass black hole (IMBH) depends strongly on the mass loss rate via winds from massive stars. Growth of stellar mass through collisions can be quenched by strong wind mass loss. In that case, the inter-cluster as well as intra-cluster medium are expected to have a significant Helium enrichment which may be observed via Helium recombination lines. The excess amount of gas lost in winds may also be observed via X-ray observations as diffused X-ray sources.