arXiv subjects

Tetsuo Hyodo

Publications and source records attributed to Tetsuo Hyodo.

At least 19 recordsLinked to original sources

arXiv2026

Isospin-breaking effects on the threshold cusp structures in $\Lambda N$-$\Sigma N$ scattering

We discuss the isospin-breaking effects on threshold cusp structures in multichannel scattering near two-body thresholds. In hadronic systems with isospin symmetry, two or more nearly degenerate thresholds can appear, and their small splitting due to isospin breaking can generate multiple cusp structures in a narrow energy region. In this paper, using the $K$-matrix representation, we derive a general expression for the scattering amplitude near the thresholds and show that the cusp structures can be classified by the signs of the slopes of the cross section above and below threshold. We also show that additional restrictions appear in two- or three-channel systems and in the Flatt\'e amplitude. For three-channel scattering with two nearby thresholds, we clarify how the two cusp structures are related when the threshold splitting is small and how they merge into a single cusp in the degenerate limit. Finally, we discuss the cusp structures in the $\Lambda p$ elastic cross section in the coupled $\Lambda N$-$\Sigma N$ system with charge $Q=+1$. We show that, when isospin breaking is small, the two cusp structures are constrained by isospin symmetry. We also perform quantitative calculations using both simplified examples and realistic input based on N$^2$LO chiral effective field theory, and find that isospin breaking can significantly modify the relative sharpness of the cusps and may even change the cusp type itself.

hep-ph↗

arXiv2026

Compositeness of near-threshold states in charged hadronic systems

We quantify the internal structure of near-threshold bound, virtual, and resonance states in systems where Coulomb and short-range interactions coexist by evaluating the compositeness. Using the Coulomb-modified effective range expansion, we derive an expression for the compositeness in terms of the eigenenergy and Coulomb effective range in the weak-binding limit. We then apply the formulation to several near-threshold states in hadronic and nuclear systems, including $pp$, $\alpha\alpha$, $\Omega^{-}\Omega^{-}$, $\Omega_{ccc}^{++}\Omega_{ccc}^{++}$, $\Xi^{-}\alpha$, and $\Omega^{-}p$.

hep-ph↗

arXiv2026

Compositeness of near-threshold eigenstates with Coulomb plus short-range interactions

We investigate the internal structure of near-threshold $s$-wave eigenstates in a two-body system with Coulomb plus short-range interactions. Using a nonrelativistic effective field theory, we derive the expression for the compositeness in terms of the energy derivative of the self-energy, which is applicable to the present system with the non-separable Coulomb interaction. For near-threshold states, the compositeness can be written solely in terms of the Coulomb scattering length, the Coulomb effective range, and the Bohr radius, providing the weak-binding relation in the presence of the Coulomb interaction. We numerically study the pole trajectories and the compositeness and find that the Coulomb interaction qualitatively modifies the threshold behavior of the poles and the internal structure of the eigenstates. We show that when the Coulomb interaction is relatively strong, the enhancement of the compositeness near the threshold is absent, in contrast to purely short-range interactions. On the other hand, for a weak Coulomb interaction, a remnant of short-range universality survives, and near-threshold bound states tend to be composite dominant. Furthermore, even resonances are dominated by the composite component in the presence of the Coulomb interaction, owing to their continuous connection to the bound-state regime. We apply the formalism to realistic systems with near-threshold eigenstates, including exotic hadrons and nuclei.

hep-ph↗

arXiv2026

Threshold Cusp Structures in the Presence of Isospin Symmetry Breaking

We study the behavior of the cusp structures focusing on the isospin-breaking effects. The properties of the near-threshold exotic hadrons are encoded in the shapes of the cusp structures. In hadron scattering, it is often the case that the thresholds of isospin partner channels are located within a narrow energy region. To analyze the scattering in such systems, it is therefore essential to study the cusp structures that emerge at two closely separated thresholds with isospin symmetry breaking. In this study, we propose a practical representation of the scattering amplitude and show that the two neighboring cusp structures are related through the isospin symmetry.

hep-ph↗

arXiv2026

Structure of near-threshold states in systems with Coulomb and short-range interactions

We study the nature of near-threshold eigenstates in systems with the attractive Coulomb plus short-range interactions. Using a model providing the Coulomb-modified effective range expansion, we analyze pole trajectories and the internal structure of near-threshold states characterized by the compositeness. We find that bound state and resonance poles are disconnected in the presence of the attractive Coulomb interaction, in contrast to the repulsive Coulomb force. Near the threshold, bound states become almost purely composite, while the behavior of the compositeness near unityis controlled by the competition between the Coulomb and short-range interactions, characterized by the Bohr radius and the Coulomb effective range.

hep-ph↗

arXiv2026

Entanglement suppression for $\Omega\Omega$ scattering

We study entanglement suppression in $s$-wave $\Omega\Omega$ scattering, where each baryon has spin $3/2$. By treating the $S$-matrix as a quantum operator acting on the spin states, we quantify its ability to generate entanglement and identify the conditions on the phase shifts of the spin channels that minimize entanglement generation in the system. In $\Omega\Omega$ scattering, only antisymmetric spin channels are allowed due to Fermi-Dirac statistics. Applying the entanglement-suppression framework to $\Omega\Omega$ scattering, we find two solutions for the phase shifts: one leading to a spin SU(4) symmetry and the other to a nonrelativistic conformal symmetry. We show that the solution associated with the nonrelativistic conformal symmetry originates from the specific structure of the Clebsch-Gordan coefficients in the $3/2 \otimes 3/2$ system.

hep-ph↗

arXiv2026

Decay Effect on Near-Threshold Mass Scaling with Complex and Coupled-Channel Potentials

We investigate the effect of decay channels on the near-threshold mass scaling by employing potential models. By varying the attractive strength of a square-well potential, we examine the pole trajectory associated with the transition of an $s$-wave bound state into a resonance state, incorporating decay-channel effects through both a single-channel complex potential model and a coupled-channel real potential model. As a result, we show that the pole of a quasibound state below the threshold is not continuously connected to that of a resonance state above the threshold. Furthermore, by comparing the results obtained from the single-channel and coupled-channel models, we clarify the correspondence between the pole trajectories in the two approaches.

hep-ph↗

arXiv2026

Structure of Bound States with Coulomb plus Short-range Interaction

We study the structure of bound states appearing in systems governed by the Coulomb and short-range interactions. We analyze the binding energies and wave functions of the bound states generated by the Coulomb plus short-range potential. We demonstrate that Coulomb-induced shifts of the binding energy are closely correlated with the spatial distribution of the wave function. Furthermore, we show that the asymptotic behavior of wave functions of weakly bound states is qualitatively altered by Coulomb repulsion, leading to a modification of the near-threshold mass scaling that is otherwise universal for short-range interactions.

hep-ph↗

arXiv2025

Internal structure of near-threshold states using compositeness

Understanding the internal structure of near-threshold states is essential for revealing the nature of exotic hadrons. Motivated by this challenge, we discuss the clustering structures of near-threshold $s$-wave eigenstates using the compositeness, which characterizes the clustering nature of the states. We show that shallow bound states usually possess cluster-dominant structures, while near-threshold narrow resonances are non-cluster-dominant. Through this study, we establish a theoretical foundation for the threshold energy rule, which has been known empirically.

hep-ph↗

arXiv2025

Regularized Lednicky-Lyuboshitz formula for higher partial waves in femtoscopy

Femtoscopy is one of the promising experimental approaches to put constraints on interactions between various species of hadrons from the momentum correlation functions measured in high-energy nuclear collision experiments. The Koonin-Pratt and Lednicky-Lyuboshitz formulae provide useful expressions of the correlation functions and have been widely used to analyze the experimental data based on the assumption that the effect of higher partial waves is negligible. Those formulae can be generalized for higher partial waves, but the generalized Lednicky-Lyuboshitz formula produces wrong results due to a singular behavior of the asymptotic wave function at the origin. In this study, we attempt to solve the problem by regularizing the generalized Lednicky-Lyuboshitz formula with a cutoff and validate it using the Koonin-Pratt formula as a reference. We also show the relationship between the cutoff in the regularized Lednicky-Lyuboshitz and the effective-range correction in the original Lednicky-Lyuboshitz formula. Using the obtained formula, we investigate the source-size dependence, the validity of the effective range expansion, and the cutoff dependence of the correlation function. We also discuss the interaction dependence using the heatmap as a function of the scattering-length parameter $1/a_l$ and the momentum $q$.

nucl-th↗

arXiv2025

Compositeness of near-threshold states with repulsive Coulomb interaction combined with short-range potential

We investigate the internal structure of near-threshold states in a system with a repulsive Coulomb interaction combined with a short-range potential, using the compositeness. We construct a model in which the eigenmomentum is expressed in terms of three observables: the Coulomb scattering length, the Coulomb effective range, and the Bohr radius. In the presence of the Coulomb interaction, a bound state directly goes into a resonance as parameters are varied, bypassing a virtual state, in contrast to the case with only the short-range interaction. We show that the compositeness of near-threshold states can be expressed solely in terms of these observables. When the magnitude of the Coulomb effective range is much smaller than that of the Bohr radius, both shallow bound states and near-threshold resonances exhibit common structures with large compositeness, reflecting the remnant of the low-energy universality.

hep-ph↗

arXiv2025

Entanglement suppression and emergent symmetries in hadron scatterings

Recently entanglement suppression was proposed to be one potential origin of emergent symmetries. In this work, we extend this theoretical framework to accommodate particles with arbitrary spins and/or arbitrary group representations. As case studies, we discuss recent efforts to test the entanglement-suppression conjecture in two hadron systems that exhibit possible emergent symmetries. The first concerns interactions involving spin-3/2 baryons, where entanglement suppression gives rise to symmetries such as $\text{SU}(40)$ spin-flavor symmetry. The second system involves low-energy scattering of heavy mesons, where entanglement suppression leads to an enhancement of the inherent heavy-quark spin symmetry to a light-quark spin symmetry, predicting additional siblings for the prominent exotic double-charm meson $T_{cc}(3875)^+$. These predictions should be confronted against experimental data and lattice results to further test the minimal-entanglement conjecture.

hep-ph↗

arXiv2025

Effect of eigenstates on spectra in coupled-channel scattering with the chiral unitary model

In recent years, as experimental data on the excited $\Xi(1620)$ and $\Xi(1690)$ states have accumulated, theoretical analyses based on chiral dynamics have also been actively pursued. In this study, we construct theoretical models within the chiral unitary approach to reproduce recent experimental data, and perform a model interpolation to examine the relationship between the poles appearing in different models. We then calculate the invariant mass spectra of the $\pi^+\Xi^-$ system in the $\Xi_c \to \pi\pi\Xi$ decay, using the scattering amplitudes obtained from each model, to investigate how the distinct pole structures influence the observable spectrum.

hep-ph↗

arXiv2025

Threshold cusp structures in multi-channel scattering

We study the behavior of the cusp structures focusing on the isospin symmetry breaking effects. The properties of the exotic hadrons are reflected in the shape of the cusp structures. In realistic hadron scatterings, the threshold energies of the isospin partners appear within a small energy region. For a detailed analysis of such systems, it is essential to study the behavior of the cusp structures arising at two closely spaced thresholds. In this work, we introduce a convenient formulation of the scattering amplitude and demonstrate that the cusp structures at two nearby thresholds are related through the isospin symmetry.

hep-ph↗

arXiv2025

Eigenstates in coupled-channel scattering amplitude and their effects on spectrum

In general, discrete eigenstates such as resonances are represented by poles of the scattering amplitude, analytically continued to the complex energy plane. In multi-channel scattering, however, the Riemann surface becomes more complicated, leading to the emergence of various types of poles with distinct characteristics. In this study, we investigate the relationship between poles located on different Riemann sheets and analyze how they influence the observable spectra. In particular, we clarify the effect of the decay channel on the pole trajectory, where an $s$-wave bound state evolves into a resonance via a virtual state. It is shown that the quasibound state pole below the threshold does not continuously connected to the resonance pole above the threshold, and a kind of interchange of poles occurs. As a concrete example, we consider several models based on the chiral unitary approach that describe meson-baryon scattering amplitudes involving the $\Xi(1620)$ and $\Xi(1690)$ resonances. We examine their impact on the $\pi\Xi$ invariant mass distributions in the $\Xi_{c} \to \pi\pi\Xi$ decay, discussing how the pole structure manifests itself in experimental observables.

hep-ph↗

arXiv2025

Entanglement Suppression, Quantum Statistics and Symmetries in Spin-3/2 Baryon Scatterings

We explore the interplay among entanglement suppression, quantum statistics and enhanced symmetries in the non-relativistic $S$-wave scattering involving the lowest-lying spin-3/2 baryons, which can be considered as four-dimensional qudits. These baryons form a ten-dimensional representation (decuplet) under the $\text{SU}(3)$ light-flavor symmetry and, in this limit, are considered indistinguishable under strong interactions. Treating the $S$-matrix in the spin-3/2 baryon-baryon scattering as a quantum logic gate in the spin space, we study the consequence of entanglement suppression and compute the entanglement power of the $S$-matrix. When the entanglement power vanishes, the $S$-matrix is either an Identity or a SWAP gate and spin-flavor symmetries and/or non-relativistic conformal invariance emerge, as previously observed in spin-1/2 baryons. In the case of scattering identical particles, the entanglement power never vanishes due to constraints from spin statistics, which we interpret as projection-valued measurements onto symmetric or antisymmetric Hilbert space and define the entanglement power accordingly. When the entanglement power is non-vanishing but sits at a global or local minimum, enhanced symmetries still emerge and the $S$-matrix can be interpreted as an Identity or a SWAP gate acting on the restricted Hilbert space allowed by quantum statistics. In general, when scattering identical spin-$s$ particles, we identify an enhanced $\text{SU}(2s+1)_{\text{spin}}$ symmetry for the Identity gate.

hep-ph↗

arXiv2025

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

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 $X(3872)$ 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 $X(3872)$, $T_{cc}(3875)$, $D_{s0}(2317)$, and $D_{s1}(2460)$ is discussed.

hep-ph↗

arXiv2025

Properties of $X(3872)$ from hadronic potentials coupled to quarks

The concept of compositeness is used to quantitatively discuss the hadronic molecular nature in exotic hadrons. In this work, we develop a formulation to explicitly introduce the compact quark state contribution in the hadronic potentials together with the direct four-point interaction. We derive analytic expressions of the compositeness from the effective potential between hadrons when the system has a bound state. Applying this formulation to the $X(3872)$, we examine the variation of the compositeness with respect to the binding energy, energy of $\chi_{c1}(2P)$, cutoff momentum, and strength of the direct $D^0\bar{D}^{*0}$ interaction.

hep-ph↗