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Nuclear Theory·nucl-th

Monday·May 26, 2025

3 papers—1 primary·2 cross-listed

All3Primary1Cross-lists2
  1. 02

    Compositness and wave function of shallow bound states in relation to scattering observables

    Ibuki Terashima🇯🇵 · Tetsuo Hyodo🇯🇵

    We study the internal structure of exotic hadrons, especially focusing on the relation between the compositeness and physical observables. Defined as the probability of finding hadronic molecular components in the wave function, compositeness serves as a quantitative measure of the internal structure of exotic hadrons. We utilize the coupled-channel potential model incorporating both quark and hadron degrees of freedom, which naturally generate the ``bare state'' responsible for the elementary component as the bound state in the quark channel. The behavior of the compositeness under the variation of the model parameters is investigated by using the as an example. In particular, we analyze the associated scattering phase shifts and the bound-state wave functions to discuss the relation between the compositeness and the scattering observables for a shallow bound state. As a phenomenological application of the present framework, the compositeness of the , , , and is discussed.

    ↳ hep-phnucl-thPRC(2026)·2 citations
  2. 03

    Thermodynamics of magnetized BPS baryonic layers and the effects of the Isospin chemical potential

    Sergio Luigi Cacciatori🇮🇹 · Fabrizio Canfora🇨🇱 · Evangelo Delgado🇨🇱 · Federica Muscolino🇮🇹 · Luigi Rosa🇮🇹

    Through the Hamilton-Jacobi equation of classical mechanics, BPS magnetized Baryonic layers (possessing both baryonic charge and magnetic flux) have been constructed in the gauged non-linear sigma model (G-NLSM) minimally coupled to Maxwell theory, which is one of the most relevant effective theories for Quantum Chromodynamics (QCD) in the strongly interacting low-energy limit which also takes into account the electromagnetic interactions. Since the topological charge that naturally appears on the right hand side of the BPS bound is a non-linear function of the baryonic charge, the thermodynamics of these magnetized Baryonic layers is highly non-trivial. In this work, using tools from the theory of Casimir effect, we derive analytical relationship between baryonic charge, topological charge, magnetic flux and relevant thermodynamical quantities (such as pressure, specific heat and magnetic susceptibility) of these layers. The critical Baryonic chemical potential is identified. Quite interestingly, the grand canonical partition function can be related with the Riemann zeta function. On the technical side, it is quite a remarkable result to derive explicit expressions for all these thermodynamics quantities of a strongly interacting magnetized system at finite Baryon density. The effects of the Isospin chemical potential can be included as well: in particular, we will be able to construct explicitly the BPS bound and the corresponding BPS configurations also in the case in which the Isospin chemical potential is non-zero. The physical interpretations of our analytical results will be discussed.

    ↳ hep-thastro-ph.HEhep-phnucl-thPRD(2026)·2 citations

Affiliations

first authorsco-authorsvia INSPIRE