The general nuclear contact matrices are defined, taking into consideration all partial waves and finite-range interactions, extending Tan's work for the zero range model. properties of these discussed relations between contacts one-nucleon two-nucleon momentum distributions derived. Using relations, a new asymptotic connection distributions, describing two-body short-range correlations in nuclei, is obtained. available numerical data, we extract few connections different verify their to...

The role of an intrinsic four-body scale in universal few-boson systems is the subject active debate. We study these within framework effective field theory. For up to six bosons we establish that no appears at leading order (LO). However, find next-to-leading (NLO) a force needed obtain renormalized results for binding energies. With associated parameter fixed energy four-boson system, this shown renormalize five- and six-body as well. present original ansatz short-distance limit bosonic...

The nuclear neutron-proton contact is introduced, generalizing Tan's work, and evaluated from medium energy photodisintegration experiments. To this end we reformulate the quasideuteron model of establish bridge between Levinger constant contact. Using experimental evaluations Levinger's constant, extract value in finite nuclei symmetric matter. Assuming isospin symmetry propose to evaluate neutron-neutron through measurement photonuclear spin correlated pairs.

We study universal bosonic few-body systems within the framework of effective field theory at leading order (LO). calculate binding energies up to six particles and atom-dimer scattering length. Convergence limit zero-range two- three-body interactions is shown, indicating that no additional need be introduced LO. Generalizations Tjon line are constructed, showing correlations between energy trimer, for a given dimer energy. As specific example, we implement our $^{4}\mathrm{He}$ atomic show...

We show that four heavy fermions interacting resonantly with a lighter atom ($4+1$ system) become Efimovian at mass ratio 13.279(2), which is smaller than the corresponding $2+1$ and $3+1$ thresholds. thus predict five-body Efimov effect for this system in regime where any of its subsystem non-Efimovian. For ratios we existence calculate energy universal $4+1$ pentamer state, continues series trimer predicted by Kartavtsev Malykh tetramer discovered Blume. also effective-range correction...

We present a comprehensive theoretical study of low-energy few nucleon scattering for systems with $A\leq 4$. To this end, we utilize pionless effective field theory, which employ at next-to-leading order. show that level the theory yields accurate predictions parameters in all studied channels. These are on par best experimental evaluations and available calculations. confirm recent observation four-body force is needed next-to-leading-order find nuclear it only appears single spin-isospin channel.

ηNNN and ηNNNN bound states are explored in stochastic variational method (SVM) calculations within a pionless effective field theory (EFT) approach at leading order. The theoretical input consists of regulated NN NNN contact terms, energy dependent ηN term derived from coupled-channel models the ⁎N⁎(1535) nucleon resonance. A self consistency procedure is applied to deal with dependence subthreshold input, resulting weak calculated η-nuclear binding energies on EFT regulator. It found,...

We present the first five-body calculations of s-wave n-4He scattering within leading order and next-to-leading (NLO) pionless effective field theory (π̸EFT). Using an harmonic oscillator trap technique π̸EFT fitted to just six well-established experimental parameters, we predict phase shifts, length an4He1/2(NLO)=2.47(4num.)(17theor.)fm, range rn4He1/2(NLO)=1.384(3num.)(211theor.)fm in agreement with experiment. The apparent cutoff independence our results is used estimate theoretical...

Lattice simulations are the only viable way to obtain ab-initio Quantum Chromodynamics (QCD) predictions for low energy nuclear physics. These calculations done, however, in a finite box and therefore extrapolation is needed get free space results. Here we use Effective Field Theory (EFT), designed provide description of QCD using baryonic degrees freedom, extrapolate lattice results from infinite volumes. To this end, fit EFT calculated with nonphysical high quark masses solve it stochastic...

We study clusters of the type ${A}_{N}{B}_{M}$ with $N\ensuremath{\le}M\ensuremath{\le}3$ in a two-dimensional mixture $A$ and $B$ bosons, attractive $AB$ equally repulsive $AA$ $BB$ interactions. In order to check universal aspects problem, we choose two very different models: dipolar bosons bilayer geometry particles interacting via separable Gaussian potentials. find that all considered are bound their energies functions scattering lengths ${a}_{AB}$ ${a}_{AA}={a}_{BB}$, for sufficiently...

The spectrum of hypernuclear trios composed a $\Lambda$ baryon and two nucleons is the subject an ongoing experimental campaign, aiming to study interaction particle with neutron, 3-body $\Lambda$-nucleon-nucleon force. In this manuscript we utilize baryonic effective field theory at leading order, constrained reproduce available low energy light data, continuum such trios. Using complex scaling method inverse analytic continuation in coupling constant find existence virtual state $\Lambda n...

We consider two-dimensional weakly bound heterospecies molecules formed in a Fermi-Bose mixture with attractive and repulsive Bose-Bose interactions. Bosonic exchanges lead to an intermolecular attraction, which can be controlled tuned $p$-wave resonance. Such fermionic realized quasi-two-dimensional ultracold isotopic mixtures. show that they are stable respect the recombination deeply molecular states formation of higher-order clusters (trimers, tetramers, etc.)

Short-range correlations in bosonic Helium clusters, composed of $^{4}\mathrm{He}$ atoms, are studied utilizing the generalized contact formalism. The emergence universal $n$-body short-range is formulated and demonstrated numerically via Monte Carlo simulations. values $n$-particle contacts evaluated for $n\ensuremath{\le}5$. In thermodynamic limit, two-body extracted from available experimental measurements static structure factor liquid at high momenta, found a good agreement with value...

The nature of the $\Lambda nn$ and ${\rm ^3_\Lambda H^*} (J^\pi=3/2^+,~I=0)$ states is investigated within a pionless effective field theory at leading order, constrained by low energy N$ scattering data hypernuclear 3- 4-body data. Bound state solutions are obtained using stochastic variational method, continuum region studied employing two independent methods - inverse analytic continuation in coupling constant method complex scaling method. Our calculations yield both H^*}$ unbound. We...

Consequences of increasing the binding energy hypertriton ground state $_{\mathrm{\ensuremath{\Lambda}}}^{3}\mathrm{H}({J}^{P}={\frac{1}{2}}^{+})$ from emulsion value ${B}_{\mathrm{\ensuremath{\Lambda}}}^{\mathrm{EMUL}}(_{\mathrm{\ensuremath{\Lambda}}}^{3}\mathrm{H}_{\mathrm{g}.\mathrm{s}.})=0.13\ifmmode\pm\else\textpm\fi{}0.05$ MeV to STAR...

We derive an integral equation describing $N$ two-dimensional bosons with zero-range interactions and solve it for the ground state energy $B_N$ by applying a stochastic diffusion Monte Carlo scheme up to 26 particles. confirm go beyond scaling $B_N\propto 8.567^N$ predicted Hammer Son [Phys. Rev. Lett. {\bf 93}, 250408 (2004)] in large-$N$ limit.

Lattice quantum chromodynamics calculations of multibaryon systems with physical quark masses would start a new age ab initio predictions in nuclear physics. Performed on finite grid, such demand extrapolation their finite-volume numerical results to free-space quantities. Such extraction the information can be carried out fitting effective field theories (EFTs) directly or utilizing L\"uscher formula its generalizations for extrapolating lattice data infinite volume. To understand better...

Lattice quantum chromodynamics calculations of multi-baryon systems with physical quark masses could bridge the gap between nuclear physics and its fundamental theory. Such are performed on a finite grid, thus extrapolation finite-volume numerical results to physical-relevant free-space quantities is needed. A common approach for utilizes two-body Lüscher formula generalization larger systems. To understand better accuracy this we study here two model systems, bosonic fermionic. The few-body...

Using the multipole expansion, we analyze photoinduced reactions in an ultracold atomic gas composed of identical neutral bosons. While Franck-Condon factor dominates spin-flip reactions, have found that for a frozen-spin process which spins are conserved, reaction rate is governed by monopole ${r}^{2}$ and quadrupole terms. Consequently, dependence on photon wave number $k$ acquires extra ${k}^{4}$ comparison to process. Comparing relative strength modes dimer photoassociation, predict...

The inelastic response of a bosonic trimer is explored in the confines Borromean region. To this end we model interaction between external field and system as photoabsorptionlike process study quadrupole approximation. We utilize hyperspherical-harmonics expansion to solve Schr\"odinger equation Lorentz integral transform method calculate reaction. It found that magnitude function corresponding sum rules increase exponentially when approaching 3-body threshold. also governed by unnatural...

The mass-imbalanced fermionic mixture is studied, where $N\ensuremath{\le}5$ identical fermions interact resonantly with an impurity, a distinguishable atom. shell structure explored, and the physics of dynamic light-impurity shown to be different from that static heavy-impurity case. energies in harmonic trap at unitarity are calculated extrapolated zero-range limit. In doing so, scale factor ground state, as well few excited states, calculated. $2\ensuremath{\le}N\ensuremath{\le}4$...

The Wigner bound, setting an upper limit on the scattering effective range, is examined at different orders of contact field theory. Using cutoff regulator we show that bound loosens when higher theory are considered. For a sharp and Gaussian regulators, conjecture analytic formula for dependence theory's order. It follows vanishes in infinite concrete numerical example demonstrate above surmise still holds after renormalization finite cutoff. Studying 3-body system with this example, have...

Considering one-body and two-body currents, we study the photoassociation photodissociation of universal bosonic trimers. Analyzing relative importance these currents identify two physical scenarios (i) Normal hierarchy, where naive power counting holds current dominates, (ii) Strong is suppressed. For both observe that at high frequency tail, response function exhibits log periodic oscillations in transition to or from any continuum state regardless reaction partial wave channel. In...