Few-Body Systems Consisting of Mesons
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A. Martínez Torres L. Roca · E. Oset
· K. P. Khemchandani ·
Few-Body Systems Consisting of Mesons
Received: 10 June 2020 / Accepted: 16 September 2020 © Springer-Verlag GmbH Austria, part of Springer Nature 2020
Abstract We present a work which is meant to inspire the few-body practitioners to venture into the study of new, more exotic, systems and to hadron physicists, working mostly on two-body problems, to move in the direction of studying related few-body systems. For this purpose we devote the discussions in the introduction to show how the input two-body amplitudes can be easily obtained using techniques of the chiral unitary theory, or its extensions to the heavy quark sector. We then briefly explain how these amplitudes can be used to solve the Faddeev equations or a simpler version obtained by treating the three-body scattering as that of a particle on a fixed center. Further, we give some examples of the results obtained by studying systems involving mesons. We have also addressed the field of many meson systems, which is currently almost unexplored, but for which we envisage a bright future. Finally, we give a complete list of works dealing with unconventional few-body systems involving one or several mesons, summarizing in this way the findings on the topic, and providing a motivation for those willing to investigate such systems.
1 Introduction This paper is not supposed to be a review on nonconventional few-body systems made out of other hadrons than the baryons normally studied as the bulk of few-body physics. It is instead offering a view of new developments in these areas with the purpose to provide tools and a perspective to few-body practitioners of the immense field opened in few-body physics by recent developments in hadron physics. The first thing to realize is that similarly to the forces generated between nucleons, there is also and interaction between mesons, that sometimes is stronger than the known nuclear forces. Why are there not many body systems made only from mesons is then not the question, but are there such systems and we failed A. M. Torres (B) Instituto de Fisica, Universidade de Sao Paulo, São Paulo C.P. 05389-970, Brazil E-mail: [email protected] K. P. Khemchandani Universidade Federal de Sao Paulo, São Paulo C.P. 01302-907, Brazil E-mail: [email protected] L. Roca Departamento de Física, Universidad de Murcia, 30071 Murcia, Spain E-mail: [email protected] E. Oset Departamento de Física Teórica e IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Apdo 22085, 46071 Valencia, Spain E-mail: [email protected]
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to identify them? The novelty with mesons is that, unlike systems with baryons where the baryon conservation number is a stabilizing factor, there is no meson conservation number and systems with many mesons can decay into systems with fewer mesons for which there is always a big phase space for decay. If we pile up many mesons the decay width will increase. Th
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