A realistic three-dimensional calculation of the 3H binding energy

Bayegan, S.; Hadizadeh, M. R.; Harzchi, M.

doi:10.1007/s00601-008-0258-y

Cited by 11 publications

(5 citation statements)

References 9 publications

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“…The Teheran group published several papers dealing with 3D solutions of the 3N and even four-nucleon bound states [76][77][78][79][80][81][82][83]. They started with a formulation, which neglected the spinisospin degrees of freedom [76] and introduced step by step improved dynamical ingredients to their framework, performing calculations with more realistic NN potentials (like the Bonn B one in [77,78]) and including additionally a 3N force (for example the Tucson-Melbourne 3N potential in [80]). The 3D t-matrices-an input to the systems of coupled equations-were obtained with the helicity representation of [59].…”

Section: Few-nucleon Bound States In Three Dimensionsmentioning

confidence: 99%

Calculations of three-nucleon reactions with N³LO chiral forces: achievements and challenges

Witała¹,

Golak²,

Skibiński³

et al. 2014

J. Phys. G: Nucl. Part. Phys.

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We discuss the application of the chiral N 3 LO forces to three-nucleon reactions and point to the challenges which will have to be addressed. Present approaches to solve three-nucleon Faddeev equations are based on a partial-wave decomposition. A rapid increase of the number of terms contributing to the chiral threenucleon force when increasing the order of the chiral expansion from N 2 LO to N 3 LO forced us to develop a fast and effective method of automatized partial wave decomposition. At low energies of the incoming nucleon below ≈ 20 MeV, where only a limited number of partial waves is required, this method allowed us to perform calculations of reactions in the three-nucleon continuum using N 3 LO two-and three-nucleon forces. It turns out that inclusion of consistent chiral interactions, with relativistic 1/m corrections and short-range 2π-contact term omitted in the N 3 LO three-nucleon force, does not explain the long standing low energy A y -puzzle. We discuss problems arising when chiral forces are applied at higher energies, where large three-nucleon force effects are expected. It seems plausible that at higher energies, due to a rapid increase of a number of partial waves required to reach convergent results, a three-dimensional formulation of the Faddeev equations which avoids partial-wave decomposition is desirable.

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Section: Few-nucleon Bound States In Three Dimensionsmentioning

confidence: 99%

Calculations of three-nucleon reactions with N³LO chiral forces: achievements and challenges

Witała¹,

Golak²,

Skibiński³

et al. 2014

J. Phys. G: Nucl. Part. Phys.

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“…Adding the spin-isospin to the 3D formalism is a major additional task, which will increase more degrees of freedom into the states and therefore will lead to a strictly finite number of coupled equations [28]. In this paper we have attempted to implement this task by including the spin-isospin degrees of freedom in the 3N bound state formalism.…”

Section: Introductionmentioning

confidence: 99%

Three-nucleon bound state in a spin-isospin dependent three dimensional approach

2008

Self Cite

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A spin-isospin dependent Three-Dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this paper. The three-nucleon Faddeev equations with two-nucleon interactions are formulated as a function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angle between them with the inclusion of the spin-isospin quantum numbers, without employing a partial wave decomposition. As an application the spin-isospin dependent Faddeev integral equations are solved with Bonn-B potential. Our result for the Triton binding energy with the value of −8.152 MeV is in good agreement with the achievements of the other partial wave based methods.

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“…[11,12]. More detailed information about the 3D formalism, with emphasis on few-nucleon bound and scattering states, can be found in works by the Kraków, Bohum, Tehran, Ohio, and University of Iowa groups [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

General operator form of the non-local three-nucleon force

Topolnicki

2017

Eur. Phys. J. A

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Abstract. This paper describes a procedure to obtain the general form of the three-nucleon force. The result is an operator form where the momentum space matrix element of the three-nucleon potential is written as a linear combination of 320 isospin-spin-momentum operators and scalar functions of momenta. Any spatial and isospin rotation invariant three-nucleon force can be written in this way and in order for the potential to be Hermitian, symmetric under parity inversion, time reversal and particle exchange, the scalar functions must have definite transformation properties under these discrete operations. A complete list of the isospin-spin-momentum operators and scalar function transformation properties is given.

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A realistic three-dimensional calculation of the 3H binding energy

Abstract: A recently developed three-dimensional Faddeev integral equations for three-nucleon bound state with two-nucleon interactions have been solved in momentum space for Bonn-B potential.

Cited by 11 publications

References 9 publications

Calculations of three-nucleon reactions with N³LO chiral forces: achievements and challenges

Calculations of three-nucleon reactions with N³LO chiral forces: achievements and challenges

Three-nucleon bound state in a spin-isospin dependent three dimensional approach

General operator form of the non-local three-nucleon force

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A realistic three-dimensional calculation of the 3H binding energy

Abstract: A recently developed three-dimensional Faddeev integral equations for three-nucleon bound state with two-nucleon interactions have been solved in momentum space for Bonn-B potential.

Cited by 11 publications

References 9 publications

Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges

Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges

Three-nucleon bound state in a spin-isospin dependent three dimensional approach

General operator form of the non-local three-nucleon force

Contact Info

Product

Resources

About

Calculations of three-nucleon reactions with N³LO chiral forces: achievements and challenges

Calculations of three-nucleon reactions with N³LO chiral forces: achievements and challenges