Coulomb effects in three-body reactions with two charged particles

Alt, E. O.; Sandhas, W.; Ziegelmann, H.

doi:10.1103/physrevc.17.1981

Cited by 146 publications

(164 citation statements)

References 33 publications

Supporting

Mentioning

164

Contrasting

Order By: Relevance

“…Therefore U (R) 0α (Z) has to get renormalized as the corresponding amplitude for pd elastic scattering [5,11], in order to obtain the results appropriate for the unscreened Coulomb limit. According to Refs.…”

Section: A Theoretical Framework For the Description Of Proton-deutementioning

confidence: 99%

See 1 more Smart Citation

Publisher's Note: Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction [Phys. Rev. C 72, 054004 (2005)]

Deltuva¹,

Fonseca²,

Sauer³

2005

Phys. Rev. C

113

276

View full text Add to dashboard Cite

The Coulomb interaction between the two protons is included in the calculation of proton-deuteron breakup and of three-body electromagnetic disintegration of 3 He. The hadron dynamics is based on the purely nucleonic charge-dependent (CD) Bonn potential and its realistic extension CD Bonn + ∆ to a coupled-channel two-baryon potential, allowing for single virtual ∆-isobar excitation. Calculations are done using integral equations in momentum space. The screening and renormalization approach is employed for including the Coulomb interaction. Convergence of the procedure is found at moderate screening radii. The reliability of the method is demonstrated. The Coulomb effect on breakup observables is seen at all energies in particular kinematic regimes.

show abstract

Section: A Theoretical Framework For the Description Of Proton-deutementioning

confidence: 99%

“…According to Refs. [6,11], the full breakup transition amplitude for initial and final states |φ α (q i )ν αi and |φ…”

Section: A Theoretical Framework For the Description Of Proton-deutementioning

confidence: 99%

Publisher's Note: Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction [Phys. Rev. C 72, 054004 (2005)]

Deltuva¹,

Fonseca²,

Sauer³

2005

Phys. Rev. C

113

276

View full text Add to dashboard Cite

show abstract

“…Very accurate solutions of the 4N scattering problem using the AGS technique [14][15][16] were obtained already a few years ago. The long-range Coulomb interaction in this approach is taken into account using the screening and renormalization method [17,18]. In recent years, after adding some additional numerical power, also the accuracy of the calculations performed using the HH and FY techniques increased [23,25,26].…”

Section: Discussionmentioning

confidence: 99%

“…The AGS equations [13] for the four-body transition operators were derived assuming short-range interactions, but together with the screening and renormalization method [15,17,18], they can be applied also to systems with repulsive Coulomb force. The isospin formalism enables the symmetrization of the AGS equations [14] in the 4N system, where there are only two distinct four-particle partitions, one of the 3 + 1 type and one of the 2 + 2 type, denoted by α = 1 and 2, respectively.…”

Section: A Ags Equationsmentioning

confidence: 99%

Benchmark calculation ofp−H3andn−He3

et al. 2017

View full text Add to dashboard Cite

p-3 H and n-3 He scattering in the energy range above the n-3 He but below the d − d thresholds is studied by solving the 4-nucleon problem with a realistic nucleon-nucleon interaction. Three different methods -Alt, Grassberger and Sandhas, Hyperspherical Harmonics, and Faddeev-Yakubovskyhave been employed and their results for both elastic and charge-exchange processes are compared. We observe a good agreement between the three different methods, thus the obtained results may serve as a benchmark. A comparison with the available experimental data is also reported and discussed.

show abstract

“…An alternative formulation is based on the exact three-particle equations [3], suitably generalized to accommodate the long-ranged Coulomb potentials either in coordinate [4], or in momentum space [5][6][7][8][9]. The latter approach leads to coupled multichannel Lippmann-Schwinger-type equations whose solution yield simultaneously all twofragment, i.e.…”

Section: Introductionmentioning

confidence: 99%

Long-range behavior of the optical potential for the elastic scattering of charged composite particles

Alt

Mukhamedzhanov

1995

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

The asymptotic behavior of the optical potential, describing elastic scattering of a charged particle α off a bound state of two charged, or one charged and one neutral, particles at small momentum transfer ∆ α or equivalently at large intercluster distance ρ α , is investigated within the framework of the exact three-body theory. For the three-charged-particle Green function that occurs in the exact expression for the optical potential, a recently derived expression, which is appropriate for the asymptotic region under consideration, is used. We find that for arbitrary values of the energy parameter the non-static part of the optical potential behaves for ∆ α → 0 as. From this we derive for the Fourier transform of its onshell restriction for ρ α → ∞ the behavior −a/2ρ 4 α + o (1/ρ 4 α ), i.e., dipole or quadrupole terms do not occur in the coordinate-space asymptotics. This result corroborates the standard one, which is obtained by perturbative methods. The general, energy-dependent expression for the dynamic polarisability C 1 is derived; on the energy shell it reduces to the conventional polarisability a which is independent of the energy. We emphasize that the present derivation is non-perturbative, i.e., it does not make use of adiabatic or similar approximations, and is valid for energies below as well as above 1 the three-body dissociation threshold.

show abstract

Coulomb effects in three-body reactions with two charged particles

Cited by 146 publications

References 33 publications

Publisher's Note: Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction [Phys. Rev. C 72, 054004 (2005)]

Publisher's Note: Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction [Phys. Rev. C 72, 054004 (2005)]

Benchmark calculation ofp−H3andn−He3

Long-range behavior of the optical potential for the elastic scattering of charged composite particles

Contact Info

Product

Resources

About