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An accurate assessment of the hyperon-nucleon interaction is of great interest in view of recent observations of very massive neutron stars. The challenge is to build a realistic interaction that can be used over a wide range of masses and…

Nuclear Theory · Physics 2014-01-22 Diego Lonardoni , Francesco Pederiva , Stefano Gandolfi

We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the Boundary Condition Model…

Chemical Physics · Physics 2008-02-03 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

The description of structural and dynamical properties of nuclei starting from the fundamental interaction between nucleons has been a long-standing goal in nuclear physics. The ab initio No-Core Shell Model combined with the…

We provide an accurate calculation of the energy spectrum of three atoms interacting through a contact force in a one-dimensional harmonic trap, considering both spinful fermions and spinless bosons. We use fermionic energies as a benchmark…

Quantum Gases · Physics 2014-03-04 Pino D'Amico , Massimo Rontani

We have investigated S-wave bound states composed of three identical bosons interacting via regulated delta function potentials in non-relativistic quantum mechanics. For low-energy systems, these short-range potentials serve as an…

Nuclear Theory · Physics 2007-05-23 R. F. Mohr

A multi-component formalism is developed to describe three-body systems with nonstatic pairwise interactions and non-nucleonic degrees of freedom. The dressed-bag model for $NN$ interaction based on the formation of an intermediate…

Nuclear Theory · Physics 2009-11-10 V. I. Kukulin , V. N. Pomerantsev , M. Kaskulov , Amand Faessler

We have studied the solution of the six-nucleon bound state problem using the hyperspherical harmonic (HH) approach. For this study we have considered only two-body nuclear forces. In particular we have used a chiral nuclear potential…

Nuclear Theory · Physics 2020-07-08 Alex Gnech , Michele Viviani , Laura Elisa Marcucci

The study aims to explore the mechanism of heavy-ion fusion using various effective nucleon-nucleon (NN) interactions and nuclear density distributions. The nuclear potentials are obtained by folding the relativistic effective NN…

Nuclear Theory · Physics 2025-05-14 Shilpa Rana , Raj Kumar , M. Bhuyan

We present an effective field theory (EFT) at leading order to describe light single-$\Lambda$ hypernuclei. Owing to the weak $\Lambda$ binding and to the $\Lambda N$ short interaction range, meson exchange forces are approximated by…

Nuclear Theory · Physics 2019-09-04 Lorenzo Contessi , Nir Barnea , Avraham Gal

We calculate the ground state binding energies of the light nuclei such as 4He, 6Li, 12C and 14N by considering the effect of three-body nucleon-nucleon interaction. We use the effective twobody potential obtained from the lowest order…

Nuclear Theory · Physics 2025-02-26 F. Kamgar , G. H. Bordbar , S. M. Zebarjad , M. A. Rastkhadiv

In this communication, we present an efficient method for computation of energy and wave function of weakly bound nuclei by the application of supersymmetric quantum mechanics (SSQM) and bound states in continuum (BIC) technique. As a case…

Nuclear Theory · Physics 2022-04-05 M. Hasan , Md. A. Khan

In this project, we have investigated the 5-nucleon model system in the picture of the specific alpha-state structure, by extending the Yakubovsky scheme with the inclusion of the spin and isospin degrees of freedom. The Yakubovsky…

Nuclear Theory · Physics 2018-09-06 E. Ahmadi Pouya , A. A. Rajabi

The description of nuclei starting from the constituent nucleons and the realistic interactions among them has been a long-standing goal in nuclear physics. In addition to the complex nature of the nuclear forces, with two-, three- and…

We study a three-body system with zero-range interactions in a one-dimensional harmonic trap. The system consists of two spin-polarized fermions and a third particle which is distinct from two others (2+1 system). First we assume that the…

Quantum Gases · Physics 2015-03-11 N. J. S. Loft , A. S. Dehkharghani , N. P. Mehta , A. G. Volosniev , N. T. Zinner

The equations of state for symmetric nuclear matter and pure neutron matter are investigated with the tensor-optimized Fermi Sphere method (TOFS) up to the density $\rho=0.5$~fm$^{-3}$. This method is based on a linked-cluster expansion…

Nuclear Theory · Physics 2024-03-19 Taiichi Yamada

The hyperspherical harmonics (HH) provide a complete basis for the expansion of atomic wave functions, but even for two particles the number of harmonics for a given order is not trivial and, as the number of electrons increases, this…

Atomic Physics · Physics 2016-09-08 Anthony D. Klemm , Michel Fabre de la Ripelle , Sigurd Yves Larsen

The bound states of $^3$H and $^3$He have been calculated using the Argonne $v_{18}$ plus the Urbana three-nucleon potential. The isospin $T=3/2$ state have been included in the calculations as well as the $n$-$p$ mass difference. The…

Nuclear Theory · Physics 2009-11-07 A. Nogga , A. Kievsky , H. Kamada , W. Gloeckle , L. E. Marcucci , S. Rosati , M. Viviani

The electric multipole strength distributions for transitions from the ${}^{12}\mathrm{C}(0_1^+)$ ground state to $3\alpha$ ($0^+$, $1^-$, $2^+$, and $3^-$) continuum states are studied in terms of $3\alpha$ model. Several sets of the…

Nuclear Theory · Physics 2025-07-15 Souichi Ishikawa

In this paper, we have solved a simple specific model of the five-body problem in the framework of the Yakubovsky equations, restricted to the configurations of the alpha-nucleon types only, to investigate the effective interaction between…

Nuclear Theory · Physics 2018-09-12 E. Ahmadi Pouya , A. A. Rajabi

The $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He elastic and charge exchange reactions at low energies are studied by means of the hyperspherical harmonic method. The considered nuclear Hamiltonians include modern two- and three-nucleon…

Nuclear Theory · Physics 2020-04-01 M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci