Dynamically exact four-body calculation of the \({\bar{K}}NNN\) system is described. Position and width of the quasi-bound state in the four-body system are being evaluated. A quasi-bound state in the \(K^- np\) subsystem, which was absent in our previous studies, was found. The state differs from the known atomic state in kaonic deuterium, it is caused by strong interactions only.

Many candidates of the so-called exotic hadrons have been observed experimentally and most of them are located close to the threshold of a pair of hadrons. The general behavior of the near-threshold line shapes of invariant mass distributions is discussed. To be precise, the threshold cusp can show up as a peak only for channels with attractive interaction, and the width of the cusp is inversely proportional

We report on applications of the recent chiral potentials from the Bochum-Bonn group to the description of the neutron induced deuteron breakup observables. Specifically, we discuss the convergence of predictions with respect to the chiral order and the dependence of our results on the value of the regularization parameter. To that end we use the chiral forces with semi-local coordinate or momentum

Nuclear matrix elements (NMEs) for double beta decays (DBDs) and astro-neutrinos are crucial for neutrino studies by DBDs and astro-neutrino nuclear interactions. The axial-vector NMEs are quenched with respect to the QRPA and other model NMEs due to non-nucleonic effects. The coherent delta (\(\varDelta \))-isobar effect is suggested to reduce the axial-vector NME by a quenching coefficient around

Quantum aspects of a moving neutral particle possessing a magnetic quadrupole moment that interacts with an axial electric field in the presence of a two-dimensional harmonic oscillator are investigated in the background of noncommutative space. The energy levels of bound states and the corresponding wave functions are obtained using analytical method. It is shown that the effects of space noncommutativity

We consider a relativistic vector boson oscillator in the \(1+2\)-dimensional spacetime background induced by spinning cosmic string, which is a linear topological defect, and we analyze the effects of spin parameter (\(\varpi \)) and angular deficit parameter (\(\alpha \)) of the background on the energy of the system. To acquire this, we solve the corresponding form of the vector boson equation.

A long range potential the so-called general particle transfer (GPT) potential was proposed for three-body systems almost one decade ago. In this report, we will illustrate another GPT feature from the dispersion theoretical point of view. The index number of the long range potential is related to the exchange particle mass which represents the threshold of multi-pion creation in the potential cut

We discuss our recent results studied within a cluster effective field theory. We review a calculation of the \(\beta \) delayed \(\alpha \) emission from \(^{16}\hbox {N}\) and report a new result for the elastic \(\alpha \)-\(^{12}\hbox {C}\) scattering for d-wave channel explicitly including the three states, the sub-threshold \(2_1^+\) state and two resonant \(2_2^+\) and \(2_3^+\) states of \(^{16}\hbox

In this paper, we presented an elegant theoretical scheme to investigate the bound and resonance states in the \(^{19}\)C halo nucleus. The nucleus \(^{19}\)C being weakly bound one-neutron halo, can be treated as a two-body system consisting of the \(^{18}\)C core plus one outer core valence neutron. An effective core-nucleon potential is derived by folding a phenomenological nucleon-nucleon potential

After reviewing the status of recent theoretical studies of the \(\phi \) meson in nuclear matter, preliminary results of transport simulations of pA reactions probed at the KEK E325 experiment and the corresponding di-lepton spectra are presented. The focus of these simulations is laid on potential modifications in both mass and width of the \(\phi \) meson in nuclear matter.

We discuss the formulation of a non-relativistic effective field theory for two-body P-wave scattering in the presence of shallow states and critically address various approaches to renormalization proposed in the literature. It is demonstrated that the consistent renormalization involving only a finite number of parameters in the well-established formalism with auxiliary dimer fields corresponds to

One of the main issues in hadron spectroscopy is to identify the origin of threshold or near-threshold enhancement. Prior to our study, there is no straightforward way of distinguishing even the lowest channel threshold-enhancement of the nucleon-nucleon system using only the cross-sections. The difficulty lies in the proximity of either a bound or virtual state pole to the threshold which creates

In this work, the relativistic particle with the action of the generalized exponential potential is studied in the Dirac equation in the context of minimum length, subsequently finding a suitable variable substitution and giving its wave function and explicit energy spectrum by using the Bethe ansatz method. Further, we will see that this research could be further extended to various special exponential

We propose a novel pentaquark picture for singly heavy baryons based on chiral symmetry and heavy quark spin symmetry, and investigate a mass spectrum of the positive-parity and negative-parity heavy baryons. Our analysis shows that the Roper-like singly heavy baryons \(\varLambda _c(2765)\) and \(\varXi _c(2967)\) are dominated by pentaquark states. Also, symmetry relations such as a sum rule for

We have investigated positron affinities and positron annihilation rates for hydrogen bonded methanol and ethanol dimers using the configuration interaction level of multicomponent molecular orbital method. We found that the methanol dimer and six lowest energy conformers of the ethanol dimer can have positronic bound states. Our regression analysis showed that both positron affinity and positron annihilation

Investigations of double-\(\Lambda \) hypernuclei, which contain two \(\Lambda \) hyperons in a nucleus, provide valuable information on baryon–baryon interaction in the strangeness \(-2\) sector, such as the \(\Lambda \)–\(\Lambda \) interaction. Whereas several double-\(\Lambda \) hypernuclei have been discovered in nuclear-emulsion experiments, an experimental observation of \({}_{\Lambda \Lambda

Geometric configurations of three \(\alpha \) particles in the ground- and first-excited \(J^\pi =0^+\) states of \(^{12}\)C are discussed within two types of \(\alpha \)-cluster models which treat the Pauli principle differently. Though there are some quantitative differences especially in the internal region of the wave functions, equilateral triangle configurations are dominant in the ground state

A novel Lattice QCD (LQCD) method to determine the quark–diquark (q–D) interaction potential together with the diquark mass (\(m_D\)) is proposed. Similar to the HAL QCD method, q–D potential is determined by demanding it to reproduce the q–D equal-time Nambu–Bethe–Salpeter (NBS) wave function. To do this, it is necessary to use the masses of the quark and the diquark as inputs, which however are not

The first excited \(J^{\pi }=0^+\) state of \(^{12}\)C, the so-called Hoyle state, plays an essential role in a triple-\(\alpha \) (\(^{4}\)He) reaction, which is a main contributor to the synthesis of \(^{12}\)C in a burning star. We investigate the Coulomb screening effects on the energy shift of the Hoyle state in a thermal plasma environment using precise three-\(\alpha \) model calculations. The

The linear partial differential equations(PDEs) of a lossy transmission line are first set up. We then fix the temporal frequency of operation and derive using spatial Fourier series representation of the voltage and current, a sequence of decoupled damped oscillator equations, which are then quantized using Lindblad/GKSL operators modeling the losses added to the lossless Harmonic Hamiltonian. The

We study the momentum correlation functions of \(p \Xi ^-\) and \(\Lambda \Lambda \) pairs produced in high-energy nuclear collisions by using the coupled-channel framework and the \(N \Xi {-}\Lambda \Lambda \) coupled-channel baryon-baryon potentials recently obtained from lattice QCD calculations at almost physical quark masses. The calculated results are found to well describe the correlation function

Electromagnetic form factors of the deuteron are calculated within the relativistic approach based upon the clothed-particle representation for the field Hamiltonian of interacting mesons (\(\pi \), \(\eta \), \(\rho \), \(\omega \), \(\delta \), \(\sigma \)) and nucleons. The deuteron in the instant form of relativistic dynamics for such a system is the bound state of the clothed neutron and proton

Triangle mechanisms for \(B^0\rightarrow (J/\psi \pi ^+\pi ^-) K^+\pi ^-\) are studied. Experimentally, an X(3872) peak has been observed in this process. When the final \((J/\psi \pi ^+\pi ^-)\pi \) invariant mass is around the \(D^*\bar{D}^*\) threshold, one of the triangle mechanisms causes a triangle singularity and generates a sharp X(3872)-like peak in the \(J/\psi \pi ^+\pi ^-\) invariant mass

We derive an assumption-free mass relation that connects heavy-quark mesons (\(c\bar{c}\), \(b\bar{b}\) and \(B_c\) mesons) with different quantum numbers, but same orbital angular momentum. The obtained formula is exact, provided the hyperfine mass splitting, \(\delta _{hf}\), and \(\delta _\xi :=M(n^1 L_\ell )/M(n^3 L_\ell )-1\) are determined independently. For completeness, we obtain the heavy-quark

Starting from 2003, a large number of the so-called exotic hadrons, such as X(3872) and \(D_{s0}^*(2317)\), were discovered experimentally. Since then, understanding the nature of these states has been a central issue both theoretically and experimentally. As many of these states are located close to two hadron thresholds, they are believed to be molecular states or at least contain large molecular

The existence of stable multiquarks made of heavy quarks and antiquarks is discussed in the framework of potential models. It is stressed that the few-body problem should be handled seriously and accurately. No bound state is found within the current models. But resonances are likely present in the spectrum above the lowest threshold.

The Roper resonance N(1440) has been a mysterious state in hadron physics for almost 60 years because of its incompatibility with the conventional quark model. In recent years, the candidates of Roper-like state in heavy baryon sectors, e.g., \(\Lambda _c(2765)\) and \(\Lambda _b(6072)\), have been observed in experiments although their spin and parity are not directly measured. Interestingly, they

Coherent photoproduction of the neutral pion and eta meson on the deuteron, \(\gamma {d}\) \(\rightarrow \)\(\pi ^0\eta {d}\), has been experimentally studied at \(E_\gamma <1.15\) GeV. The total cross section as a function of the incident energy shows a rapid increasing behavior below 1 GeV. The existing theoretical calculations well-reproduce the data including final-state interactions. We have measured

In these proceedings, we discuss baryon properties in holographic QCD. First, we propose a method of introducing a heavy flavor into the Sakai–Sugimoto model by regarding the gauge field of the extra dimension as a heavy meson. Using the Forgács–Manton method, we obtain an action consisting of light and heavy mesons. By performing collective coordinate quantization for the instanton of the light meson

We investigate the hidden-charm pentaquarks as a \(\varLambda _c{\bar{D}}^{(*)}-\varSigma _c^{(*)}{\bar{D}}^{(*)}\) hadronic molecule coupling to a compact five-quark state. The coupling to the compact state leads to an hadron short-range interaction generating an attraction. In addition, the one pion exchange potential (OPEP) as a long-range interaction is introduced by the Lagrangians satisfying

We report on the improvement of our isobar models for elementary kaon photo- and electroproduction, \(\gamma _\mathrm{r,v}+N\rightarrow K+Y\), during the last two decades. Our effort started with the investigation of kaon photoproduction near threshold, followed by the construction of new models which were intended to explain all \(K\Lambda \) and \(K\Sigma \) data from threshold up to \(W\approx 3\)

Structure of two-neutron halo in light exotic nuclei is studied by a three-body model using the neutron–neutron interaction fixed at the low-energy scattering limit. The model is applied to the dripline nucleus \(^{22}\)C assuming a pure s-wave halo with “correlated” \(^{20}\)C-core, and a unique relation between two-neutron separation energy and halo radius is derived. It is also applied to \(^{29}\)F

Form-factors investigation of \(\rho ^{\pm }\)–mesons was carried out within the framework of the relativistic quark model, based on point form of Poincaré-invariant quantum mechanics taking into account the internal structure of constituent quarks. It is shown that the parameters of the model obtained from the condition of the agreement of theoretical calculations with experimental data on leptonic

Atomic nucleus is a quantum many-body system consisting of protons and neutrons. Nevertheless, it is known that their characteristics can be well described and understood by the few-body picture. One of such pictures is the single-particle motion of a nucleon in a mean-field potential made by all nucleons. Another one is the clustering phenomenon, \(\alpha \) clustering for example, in which a nucleus

The Weinberg operator (chromo-electric dipole moment of gluon) is a CP violating quantity generated in many candidates of new physics beyond the standard model, and it contributes to observables such as the electric dipole moments (EDM) of the neutron or atoms which are currently measured in experiments. In this proceedings contribution, we report on our result of the evaluation of the Weinberg operator

The Coulomb plus linear confinement potential model was used with a Gaussian wave function to study the masses of the ground and excited states of heavy-light mesons. \(\beta \) coefficient and root mean square radius. We used the matrix method to numerically solve the required Schrödinger equation for the radial wave functions; from these wave functions we calculate the mesonic properties. Our predictions

The continuous confinement of quantum systems can be described by means of the d-method, where the dimension d is taken as a continuous parameter. In this work we describe in detail how this method can be used to obtain the root mean square radii for a squeezed three-body system. These observables are used to investigate the disappearance of the Efimov states around the two-body threshold during a

In this paper we introduce the deformed boson algebra where the even number states as well as the odd number states are deformed. Based on the set of observables associated with the quantum state, we assume that photon obeys this deformed algebra. We construct the coherent states and investigate the non-classical properties of the coherent states such as photon statistics, Mandel parameter, and quantum

We present a perturbative approach to solving the three-nucleon continuum Faddeev equation. This approach is particularly well suited to dealing with variable strengths of contact terms in a chiral three-nucleon force. We use examples of observables in the elastic nucleon-deuteron scattering as well as in the deuteron breakup reaction to demonstrate high precision of the proposed procedure and its

My personal encounter with Weinberg’s proposal of 1990 was a really entertaining one: My collaborator David Entem and I had embarked to show that Weinberg’s idea, though smart and beautiful, was essentially useless in practice (like so many of those genius ideas of the 1980s where people claimed to have “derived the nuclear force from QCD”). However, in trying to do so, we showed the opposite; namely

In this contribution, we will present a short overview of the transverse momentum dependent (TMD) approach as a tool for studying the 3-dimensional structure of hadrons in high-energy (un)polarized hadron collisions. We will then summarize the present status of a running research programme that aims at constraining the poorly known transverse momentum dependent gluon Sivers function, through the study

New expressions for the off-shell solutions of the Manning-Rosen potential are derived and make certain useful checks on their limiting behaviours to examine the correctness of our constructed expressions. The off-shell Jost function and the half-shell T-matrix thus obtained are found in order.

The LHC experiments have been measured the branching fractions for \(B^+_c\) decays to two pseudoscalar charm mesons by multiplying the production rates for \(B^+_c\) relative to \(B^+_u\) mesons (in units of \(10^{-6}\)): $$\begin{aligned} (f_c/f_u){\mathcal {B}}(B^+_c\rightarrow D^+{\bar{D}}^0)_{EXP}=3.04\pm 2.87,\quad (f_c/f_u){\mathcal {B}}(B^+_c\rightarrow D^+D^0)_{EXP}=1.10\pm 2.02. \end{aligned}$$

Recently Gnatenko et al. (J Phys Stud 21:4002, 2017) have treated the two-body problem with harmonic oscillator interaction in noncommutative phase space. According to the path integral formulation, we generalize this process by adding the coupling potentials (\(\kappa {\mathbf {P}} ^{\left( a\right) }\cdot {\mathbf {P}}^{\left( b\right) }\) and \({\tilde{\kappa }} {\mathbf {X}}^{\left( a\right) }\cdot

We study the impact of intrinsic strange (IS) component of nucleon sea on the global analysis of parton distribution functions (PDFs) considering a wide range of experimental data. To this aim, we consider two scenarios on the basis of BHPS model results for the IS distribution. In the first scenario, we apply the results presented through the BHPS model and in the second scenario we use its evolved

The dynamics of the infinitesimal for the planar elliptic restricted three body model interacting with circumstellar belt is studied. Analytic exploration of the problem reveals the existence of more than three collinear equilibrium points and a pair of triangular equilibrium points. Stability analysis based on Grebnikov’s averaging method gave the value of critical mass ratio for the stable behaviour

This study investigated the elastic scattering of a \(^{\mathrm {17}}\)F\(+^{\mathrm {208}}\)Pb system at different energies using the Continuum-Discretized Coupled Channels (CDCC) method. A microscopic optical model was selected and double-folding potential was used for the \(^{\mathrm {16}}\)O\(+\)target interaction. The real part of the optical model was determined as folding potential and the imaginary

Conformable fractional of the analytical-exact iteration method method is used. The radial Schrödinger equation is analytically solved. Trigonometric Rosen–Morse potential is suggested as a quark-antiquark interaction potential of heavy mesons in the conformable fractional form. The energy eigenvalues and corresponding wave functions are obtained in the N-dimensional space. The effect of fraction-order

In this work, we present approximate and analytical solutions of the deformed Klein–Gordon containing an interaction of the equal vector and scalar potential newly generalized modified screened Coulomb plus inversely quadratic Yukawa potential. To overcome the centrifugal barrier, we employed the well-known Greene and Aldrich approximation scheme. This study is realized in the relativistic noncommutative

We studied a class of exponential potential model \(V(x)=-a\,e^{-b\,x}\) (\(a>0, b>0\)) and found that its solutions are given by the Bessel functions, but the energy spectra \(E=-b^2(n+1/2)^2/8\) which are derived from the quantization condition do not correspond to any discrete bound states. The energy levels which are calculated by the boundary condition \(J_{\nu }(2\sqrt{2a}/b)=0\) at the origin

The N-dimensional radial Schrödinger equation has been solved using the Analytical Exact Iteration Method in which the two body potential in SCQGP is used. The energy eigen values have been calculated in the N-dimensional space for any state (n, l). The results have been applied to understand the quarkonium properties. The variations in binding energy and mass spectra with temperature have been studied

A new method for solving second order differential equation called “Nikiforov–Uvarov-Functional-Analysis (NUFA) method is generalized. This method is employed to obtain the eigensolutions of the radial Schrodinger equation with selected exponential-type potential models. The NUFA method is seen to be easy and efficient, eliminating the rigorous mathematical manipulations encountered in other methods

The formulation of the Minkowskian and Euclidean homogeneous Faddeev-Bethe-Salpeter (FBS) equations for a three-boson system with a contact interaction in an infinite four-dimensional (4D) volume are reviewed, and the Euclidean one in a finite 4D volume is derived and discussed. In an Euclidean 4D box the periodic boundary conditions leading to quantized momentum turns the continuum homogeneous FBS

The aim of the AMADEUS collaboration is to provide experimental information on the low-energy strong interaction of antikaons with nucleons, exploiting the absorptions of low momentum \(\hbox {K}^{-}\) mesons (\(p_\mathrm {K} \sim \) 127 MeV/c) produced at the \(\hbox {DA}\mathrm {\Phi }\hbox {NE}\) collider, in the materials composing the KLOE detector setup, used as an active target. The \(\hbox

In this paper the search for $$\eta $$ η -mesic nuclei with particular focus on light $$\eta $$ η -He bound states is reviewed. A brief description of recent experimental results is presented.

We investigated the relativistic dynamics of oppositely charged two fermions interacting with an external uniform magnetic field, without considering any charge-charge interaction between the fermions. We chose the interaction of each fermion with the external magnetic field in the symmetric gauge, and obtained a precise solution of the corresponding fully-covariant two-body Dirac equation that derived

The mass relation $${M_{0^{+}}+3M_{1^{+\prime }}+5M_{2^{+}}= 9M_{1^{+}}}$$ M 0 + + 3 M 1 + ′ + 5 M 2 + = 9 M 1 + miraculously holds for the P -wave charmonium $$(c\bar{c})$$ ( c c ¯ ) and bottomonium $$(b\bar{b})$$ ( b b ¯ ) systems with soaring precision. The origin of such relation can be addressed from Quark Models, and have been confirmed experimentally in a limited number of cases. In this connection

The measurement of nuclear generalized parton distributions (GPDs) in hard exclusive processes, such as deeply virtual Compton Scattering (DVCS), will be one of the main achievements of a new generation of experiments at high luminosity. Let us mention those under way at the Jefferson Laboratory (JLab) with the 12 GeV electron beam and, above all, those planned at the future Electron Ion Collider.

$$^{12}\mathrm{C}(\alpha , \gamma )^{16}$$ 12 C ( α , γ ) 16 O radiative-capture process is a key reaction to produce the element of oxygen in stars. Measuring the cross section near the Gamow window is extremely hard because it is too small. To make a theoretical contribution towards resolving the long-standing problem, I present a microscopic formulation that aims at providing all materials needed