Highlights of the <i>B</i>-physics landscape

Fleischer, Robert

doi:10.1088/0954-3899/32/4/r01

Cited by 19 publications

(21 citation statements)

References 198 publications

(449 reference statements)

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“…Refs. [1,2,3,4,5] and references quoted therein) or utilizing additional approximations of the equation itself [6,7,8,9,10,11]. Doing so, a fairly good description of experimental data has been achieved (cf.…”

Section: Introductionmentioning

confidence: 99%

Two-fermion bound states within the Bethe-Salpeter approach

et al. 2008

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To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we propose a novel method related to the use of hyperspherical harmonics. We suggest an appropriate extension to form a new basis of spin-angular harmonics that is suitable for a representation of the vertex functions. We present a numerical algorithm to solve the Bethe-Salpeter equation and investigate in detail the properties of the solution for the scalar, pseudoscalar and vector meson exchange kernels including the stability of bound states. We also compare our results to the non relativistic ones and to the results given by light front dynamics.

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Section: Introductionmentioning

confidence: 99%

Two-fermion bound states within the Bethe-Salpeter approach

et al. 2008

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“…An important advance during the 1970's was the development of the relativistic OBEP [54,55,56,57,58,59,60,61,62]. In this model, the full, relativistic Feynman amplitudes for the various one-boson-exchanges are used to define the potential.…”

Section: The One-boson-exchange Modelmentioning

confidence: 99%

Can chiral EFT give us satisfaction?

Machleidt

Sammarruca

2020

Eur. Phys. J. A

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We compare nuclear forces derived from chiral effective field theory (EFT) with those obtained from traditional (phenomenological and meson) models. By means of a careful analysis of paralleles and differences, we show that chiral EFT is superior to all earlier approaches in terms of both formal aspects and successful applications in ab initio calculations. However, in spite of the considerable progress made possible by chiral EFT, complete satisfaction cannot be claimed until outstanding problems-the renormalization issue being the most important one-are finally settled.

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“…The basis of spin-angular harmonics Γ α M (p) [1,2,21] allows for a more transparent interpretation of the solution. It is constructed from the complete set of solution of Dirac equation for free nucleons…”

Section: B Spin Angular Basismentioning

confidence: 99%

Solving the Bethe–Salpeter Equation in Euclidean Space

et al. 2010

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Different approaches to solve the spinor-spinor Bethe-Salpeter (BS) equation in Euclidean space are considered. It is argued that the complete set of Dirac matrices is the most appropriate basis to define the partial amplitudes and to solve numerically the resulting system of equations with realistic interaction kernels. Other representations can be obtained by performing proper unitary transformations. A generalization of the iteration method for finding the energy spectrum of the BS equation is discussed and examples of concrete calculations are presented. Comparison of relativistic calculations with available experimental data and with corresponding non relativistic results together with an analysis of the role of Lorentz boost effects and relativistic corrections are presented.A novel method related to the use of hyperspherical harmonics is considered for a representation of the vertex functions suitable for numerical calculations.

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Highlights of the B-physics landscape

Cited by 19 publications

References 198 publications

Two-fermion bound states within the Bethe-Salpeter approach

Two-fermion bound states within the Bethe-Salpeter approach

Can chiral EFT give us satisfaction?

Solving the Bethe–Salpeter Equation in Euclidean Space

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