Pionic values for deuteron observables

Ballot, J. L.; Robilotta, M. R.

doi:10.1103/physrevc.45.986

Cited by 16 publications

(11 citation statements)

References 7 publications

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“…The set of works [19,[46][47][48][49] gives rise to a remarkable description of deuteron properties employing the NN potential given by OPE in a LS equation, e.g., Ref. [19] achieves for many observables a 2 − 3% of deviation with respect to the experimental values.…”

Section: B One Extra Subtractionmentioning

confidence: 99%

Nucleon-nucleon interactions from dispersion relations: Coupled partial waves

Albaladejo

Oller

2012

Phys. Rev. C

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We consider nucleon-nucleon interactions from chiral effective field theory applying the N/D method. The case of coupled partial waves is now treated, extending Ref. [1], where the uncoupled case was studied. As a result, three N/D elastic-like equations have to be solved for every set of three independent coupled partial waves. As in the previous reference the input for this method is the discontinuity along the left-hand cut of the nucleon-nucleon partial wave amplitudes. It can be calculated perturbatively in chiral perturbation theory because it involves only irreducible two-nucleon intermediate states. We apply here our method to the leadingorder result consisting of one-pion exchange as the source for the discontinuity along the left-hand cut. The linear integral equations for the N/D method must be solved in the presence of ℓ − 1 constraints, with ℓ the orbital angular momentum, in order to satisfy the proper threshold behavior for ℓ 2. We dedicate special attention to satisfy the requirements of unitarity in coupled channels. We also focus on the specific issue of the deuteron pole position in the 3 S 1 -3 D 1 scattering. Our final amplitudes are based on dispersion relations and chiral effective field theory, involving only convergent integrals. They are amenable to a systematic improvement order by order in the chiral expansion.

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Section: B One Extra Subtractionmentioning

confidence: 99%

Nucleon-nucleon interactions from dispersion relations: Coupled partial waves

Albaladejo

Oller

2012

Phys. Rev. C

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“…We obtain the radial deuteron wave function from the solution of the coupled Schrödinger equations for a pure one-pion-exchange potential. It has been shown that this interaction reproduces all of the low-energy properties of the deuteron [19,20,21] (likely to be the most important in this calculation). The operator O = σ 1 · ǫ.…”

Section: Matrix Elementmentioning

confidence: 84%

Λ-neutron scattering lengths from radiativeK−capture

et al. 2000

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Radiative capture of the K − by the deuteron is examined as a reaction for measurement of the Λ-neutron scattering lengths. Using the final state interaction, analogous to measurements of the radiative capture of pions by deuterium, the scattering lengths of both the triplet and singlet Λ-n interaction can be inferred. The problem of the separation of these two fundamental parameters without and with spin information in the experiment is addressed. It is shown that a measurement of the deviation of the vector deuteron polarization asymmetry from -1 provides a direct determination of the difference of the singlet and triplet scattering lengths.

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“…The calculated binding energy E is =  2.2427356 MeV [4,6] . From computation, it is known that there is a repulsive force starting from = 0,4 fm, meaning that 0 ≤ ≤ region is an infinite height potential wall, thus the probability to find particles (deuteron) in this interval is zero (see figure 1 and 2) [12] .…”

Section: Resultsmentioning

confidence: 99%

“…Research by Friar, Gibson and Payne (FGP) obtained pionic effect of non-relativistic deuteron wave function using the OPE potential [5][6] . In their calculations, a pion-nucleon form factor replaces the high energy physics.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetics Properties of Non-Relativistic Deuteron in Ground State

Sari¹,

Denny²

2016

Indonesian J Appl Phys

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Proton-neutron interaction that makes up deuteron is a mixture state of 1 3 dan 1 3 , which are each associated with a state = 0, = 1 and = 2, = 1. In the proton-neutron interaction, there are particle exchanges of medium range (1 fm ≤ ≤ 2 fm) i.e. scalar meson exchange and the long range ( > 2 fm) i.e. one pion exchange. The electromagnetic properties of non-relativistic deuteron in the ground state can be found from the coupled differential equation, such as magnetic dipole moment, 〈 D 〉 = 0.856521 and electrical quadrupole moment, 〈 D 〉 = 0.00291396 b.

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Pionic values for deuteron observables

Cited by 16 publications

References 7 publications

Nucleon-nucleon interactions from dispersion relations: Coupled partial waves

Nucleon-nucleon interactions from dispersion relations: Coupled partial waves

Λ-neutron scattering lengths from radiativeK−capture

Electromagnetics Properties of Non-Relativistic Deuteron in Ground State

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