Possible experiments to distinguish between different methods of treating the Pauli principle in nuclear potential models

Krolle, D.; Assenbaum, H. J.; Funck, C.; Langanke, K.

doi:10.1103/physrevc.35.1631

Cited by 4 publications

(12 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For this reason the Γ γ = 0.47 eV obtained in our calculation for this particular case agrees well with the 0.46 eV given in [2]. In [3] also a very similar value of 0.45 eV is given. After having computed the Γ γ values, Eq.…”

Section: B (E2) Transition Strengthssupporting

confidence: 91%

“…(≈ 18 e 2 fm 4 ) given in [2] agrees well with our calculation (as expected again due the good agreement in the Γ γ value). In [3] the same value of 19 W.u. is given.…”

Section: B (E2) Transition Strengthsmentioning

confidence: 88%

“…In particular, in Fig. 1b the closed circles are the results reported in [1], where the Ali-Bodmer potential was used, and the crosses correspond to the cross section given in [3], where the Buck potential and the Finite Pauli Repulsion Model was used. However, the calculations in [18] (open circles in Fig.1a) and [1] (open circles in Fig.1b) corresponding to the 2 + → 0 + and 4 + → 2 + transitions, respectively, and performed both with the Buck potential, agree very nicely with our calculations with the same potential.…”

Section: B Electric Quadrupole Cross Sectionsmentioning

confidence: 99%

“…However, these quantities require initial and final states connected by the electric quadrupole operator, and the appropriate continuum states are not a priory well defined. Previous works provided cross sections from energies around the positions of the 2 + and 4 + resonances in 8 Be [1][2][3][4][5][6][7]. The theoretical results [1][2][3] are converging although important discrepancies still remain.…”

Section: Introductionmentioning

confidence: 99%

“…Previous works provided cross sections from energies around the positions of the 2 + and 4 + resonances in 8 Be [1][2][3][4][5][6][7]. The theoretical results [1][2][3] are converging although important discrepancies still remain. In these works the structure information is extracted as B (E2)values by assuming a Breit-Wigner shape for population of the decaying initial 2 + and 4 + resonances in 8 Be.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Inelastic cross sections and continuum transitions illustrated by8Be results

2012

View full text Add to dashboard Cite

We use the 2α cluster model to describe the properties of 8 Be. The E2 transitions in a two-body continuum can be described as bremsstrahlung in an inelastic scattering process. We compute cross sections as functions of initial energy for the possible E2 transitions from initial angular momenta of 0 + , 2 + , 4 + , 6 + , and 8 + . The dependence on the exact shape of potentials is very small when the low-energy scattering phase shifts are the same. We relate to practical observables where energies of the emerging α particles are restricted in various ways. The unphysical infrared contribution is removed. We find pronounced peaking for photon energies matching resonance positions. Contributions from intraband transitions are rather small although substantial (and even dominating) for initial energies between resonances. Structure information is derived but both B (E2) transition strength values and electromagnetic transition rates are ambiguous in the continuum.

show abstract

Section: B (E2) Transition Strengthssupporting

confidence: 91%

“…(≈ 18 e 2 fm 4 ) given in [2] agrees well with our calculation (as expected again due the good agreement in the Γ γ value). In [3] the same value of 19 W.u. is given.…”

Section: B (E2) Transition Strengthsmentioning

confidence: 88%

Section: B Electric Quadrupole Cross Sectionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Inelastic cross sections and continuum transitions illustrated by8Be results

2012

View full text Add to dashboard Cite

show abstract

Microscopic study of ? + ? bremsstrahlung with resonating-group wave functions

1992

View full text Add to dashboard Cite

Techniques to Treat the Continuum Applied to Electromagnetic Transitions in 8Be

2014

View full text Add to dashboard Cite

Bremsstrahlung emission in collisions between charged nuclei is equivalent to nuclear gamma decay between continuum states. The way the continuum spectrum can be treated is not unique, and efficiency and accuracy of cross section calculations depend on the chosen method. In this work we describe, relate, and compare three different methods in practical calculations of inelastic cross sections, that is, by (i) treating the initial and final states as pure continuum states on the real energy axis, (ii) discretizing the continuum states on the real energy axis with a box boundary condition, and (iii) complex rotation of the hamiltonian (complex scaling method). The electric quadrupole transitions, 2 + → 0 + and 4 + → 2 + , in α + α scattering are taken as an illustration.Keywords First keyword · Second keyword · More IntroductionThe emission of bremsstrahlung in a collision between two charged particles constitutes an important background effect in Coulomb deexcitation processes. In a classical picture, this phenomenon is understood as the energy radiated due to the deceleration of a charged particle when deflected by another charged particle. The radiated energy is just the kinetic energy lost in the deceleration process. In a quantum mechanical picture, the process can be seen as the γ-emission due to the decay of a two-body system from some two-body continuum state into another continuum state of lower energy. A detailed derivation of the cross section for this kind of processes can be found in [1].The fact that these transitions involve continuum structures, both in the initial and final states, introduce technical as well as conceptual difficulties in the calculations. First, the treatment of the continuum spectrum itself, which can be handled in different ways, but in numerical studies almost necessarily by some kind of discretization. Second, the unavoidable matrix elements between the continuum states involved in the calculation are diverging and thus not well defined without some regularization prescription. These two problems, how to treat the continuum and how to obtain converged results, are possible sources of uncertainty that deserves detailed investigations.Different methods were previously used to compute the bremsstrahlung cross sections for various combinations of nuclei. In [2] α − α collisions were investigated in connection with the resonant electric

show abstract

Possible experiments to distinguish between different methods of treating the Pauli principle in nuclear potential models

Cited by 4 publications

References 12 publications

Inelastic cross sections and continuum transitions illustrated by8Be results

Inelastic cross sections and continuum transitions illustrated by8Be results

Microscopic study of ? + ? bremsstrahlung with resonating-group wave functions

Techniques to Treat the Continuum Applied to Electromagnetic Transitions in 8Be

Contact Info

Product

Resources

About