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Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton…

核理论 · 物理学 2011-05-20 Johannes Kirscher

Doublet Lambda d scattering and the hypertriton are studied in the framework of an effective field theory for large scattering lengths. As in the triton case, consistent renormalization requires a one-parameter three-body force at leading…

核理论 · 物理学 2009-11-07 H. -W. Hammer

We apply the effective field theory approach to the three-nucleon system. In particular, we consider S=1/2 neutron-deuteron scattering and the triton. We show that in this channel a unique nonperturbative renormalization takes place which…

核理论 · 物理学 2009-10-31 P. F. Bedaque , H. -W. Hammer , U. van Kolck

We apply the effective field theory approach to the three-nucleon system. In particular, we consider neutron-deuteron scattering and the triton. Precise predictions for S=3/2 scattering are obtained in a straightforward way. In the S=1/2…

核理论 · 物理学 2007-05-23 H. -W. Hammer

The large values of the singlet and triplet scattering lengths locate the two-nucleon system close to the unitary limit, the limit in which these two values diverge. As a consequence, the system shows a continuous scale invariance which…

核理论 · 物理学 2019-10-09 Mario Gattobigio , Alejandro Kievsky , Michele Viviani

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

核理论 · 物理学 2009-11-10 Harald W. Griesshammer

The effective field theory approach is applied to the three-nucleon process of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the…

核理论 · 物理学 2007-05-23 F. Gabbiani

We calculate the contribution of relativistic dynamics on the neutron-deuteron scattering length and triton binding energy employing five sets trinucleon potential models and four types of three-dimensional relativistic three-body equations…

核理论 · 物理学 2011-05-12 Sadhan K. Adhikari , Lauro Tomio

Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are calculations of deuteron…

核理论 · 物理学 2009-11-06 Harald W. Griesshammer

The S-wave effective range parameters of the neutron-deuteron (nd) scattering are derived in the Faddeev formalism, using a nonlocal Gaussian potential based on the quark-model baryon-baryon interaction fss2. The spin-doublet low-energy…

核理论 · 物理学 2015-03-17 Kenji Fukukawa , Yoshikazu Fujiwara

The large values of the singlet and triplet two-nucleon scattering lengths locate the nuclear system close to the unitary limit. This particular position strongly constrains the low-energy observables in the three-nucleon system as…

核理论 · 物理学 2018-08-22 A. Kievsky , M. Viviani , D. Logoteta , I. Bombaci , L. Girlanda

Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating mainly on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are: the extraction of…

核理论 · 物理学 2009-11-07 Harald W. Griesshammer

We propose a coordinate-space regularization of the three-body problem with zero-range potentials. We include the effective range and the shape parameter in the boundary condition of the zero-range potential. The proposed extended…

量子物理 · 物理学 2009-11-07 D. V. Fedorov , A. S. Jensen

Two-, three-, and four-boson systems are studied close to the unitary limit using potential models constructed to reproduce the minimal information given by the two-body scattering length $a$ and the two-body binding energy or virtual state…

量子气体 · 物理学 2016-06-08 R. Álvarez-Rodríguez , A. Deltuva. M. Gattobigio , A. Kievsky

The understanding of few-nucleon systems at low energies is essential, e.g. for accurate predictions of element abundances in big-bang and stellar fusion. Novel effective field theories, taking only nucleons, or nucleons and pions as…

We investigate pionless effective field theory (\nopieft) with finite-cutoff regularization as a framework for describing few-nucleon systems. This formulation incorporates effective-range effects already at leading order (LO), thereby…

核理论 · 物理学 2025-12-23 Liron H. Avraham , Betzalel Bazak

We present the mathematical construction of the physically relevant quantum Hamiltonians for a three-body systems consisting of identical bosons mutually coupled by a two-body interaction of zero range. For a large part of the presentation,…

数学物理 · 物理学 2021-05-26 Alessandro Michelangeli

We investigate the sensitivity of the three-nucleon system to changes in the neutron-neutron scattering length to next-to-leading order in the pionless effective field theory, focusing on the the triton-3He binding energy difference and…

核理论 · 物理学 2015-06-19 H. W. Hammer , Sebastian König

Small increases in the up and down quark masses of QCD would tune the theory to the critical renormalization group trajectory for an infrared limit cycle in the three-nucleon system. At critical values of the quark masses, the deuteron…

核理论 · 物理学 2009-11-10 Eric Braaten , H. -W. Hammer

Determination of the proper power-counting scheme is an important issue for the systematic application of Chiral Effective Field Theory in nuclear physics. We analyze the cutoff dependence of three-nucleon observables (the neutron-deuteron…

核理论 · 物理学 2019-08-14 Young-Ho Song , Rimantas Lazauskas , U. van Kolck
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