Solitons at Work

Welcome to Solitons at Work, an open and informal network of mathematics and physics researchers who work on solitons. Please have a look around the website.

Upcoming Seminars

28th February 2024 - 10am GMT

Alberto Garcia Martin-Caro - The Skyrmion radius zoo and neutron skin thickness

Understanding the internal structure of hadrons and atomic nuclei remains an important challenge in low-energy nuclear physics. By measuring form factors (FFs) associated with various interactions, crucial information about local densities of properties like charge, energy, and spin is obtained. While electromagnetic FFs are well-established, measurements of those related to weak forces or gravity are less precise. However, recent advancements in parity-violating scattering experiments have enabled a precise determination of the neutron skin thickness (NST) in heavy nuclei, revealing insights into the isospin breaking part of the strong force by quantifying the disparity between proton and neutron distributions within a nucleus. In this talk, I will demonstrate the computation of local densities and associated radii within the Skyrme model in order to make predictions of the pressure distribution and NST of nuclei, testable against recent and prospective experimental results. The talk will be based on: arXiv:2312.04335 and arXiv:2312.12984.

6th March 2024 - 10am GMT

Jarah Evslin & Hui Liu - Quantum Kink-Meson Scattering

We review a new formalism for treating quantum solitons which is much simpler than alternatives such as collective coordinates and less computationally intensive than Hamiltonian truncation. It is particularly simple in the one-soliton sector. We review the formalism and we use it to compute the leading amplitudes and probabilities for inelastic and elastic kink-meson scattering. In particular, we find a peak in the elastic scattering amplitude corresponding to the excitation of the resonance corresponding to the unstable twice-excited shape mode.

Upcoming Coffee Clubs

1st March 2024, 10am GMT


International Seminar-Type Online Workshop on Noncommutative Integrable Systems

This online workshop on noncommutative integrable systems is held on six days from March 4 to March 15, 2024. The tentative list of the invited speakers are as follows:

  • Arkady Berenstein (Oregon)
  • Irina Bobrova (MPI)
  • Sandra Carillo (Roma)
  • Claire Gilson (Glasgow)
  • Chun-Xia Li (Beijing)
  • Vladimir Retakh (Rutgers): 3 review talks
  • Volodya Roubtsov (Angers)
The invited talks are scheduled to start at 17:00 Japan time. (The slot for the US speakers starts at 9:30 am Japan time.) The first week (4th-8th Mar) is designed for a school for graduate students and non-experts.

The aim of this workshop is to review the developments from various viewpoints, to clarify important problems and discuss further perspectives. (For graduate students, this is designed as a school of these topics.) We are also considering deepening communications between Asian and European/American researchers. We would like to encourage young people all over the world to give a talk at the research sessions. For more information, see the workshop website.