Tests of constituent-quark generation methods which maintain both the nucleon center of mass and the desired radial distribution in Monte Carlo Glauber models

TL;DR

This paper evaluates various methods for generating three constituent quarks in a nucleon that preserve the nucleon's center of mass and radial distribution, and applies these methods within Monte Carlo Glauber models to analyze collision data.

Contribution

It introduces and compares new constituent-quark generation methods that maintain physical constraints within Monte Carlo Glauber models.

Findings

Different methods produce varying $N_{qp}$ distributions.

Explicit constraints affect the number of participant quarks in collisions.

Results align with previous models but highlight the importance of physical constraints.

Abstract

Several methods of generating three constituent-quarks in a nucleon are evaluated which explicitly maintain the nucleon's center of mass and desired radial distribution and can be used within Monte Carlo Glauber frameworks. The geometric models provided by each method are used to generate distributions over the number of constituent-quark participants ($N_{qp}$) in $p+p$, $d+$Au and Au$+$Au collisions. The results are compared with each other and to a previous result of $N_{qp}$ calculations, without this explicit constraint, used in measurements of $\sqrt{s_{_{NN}}}$=200 GeV $p+p$, $d+$Au and Au$+$Au collisions at RHIC.