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Effects of Nonlocality on Transfer Reactions
Nuclear Theory · Submitted 1 Apr 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This highlights the necessity to pursue reaction formalisms that include nonlocality exactly.
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The abstract, sentence by sentence
We solved the nonlocal scattering and bound state equations using the Perey-Buck type interaction, and compared to local equivalent calculations. Using the distorted wave Born approximation we construct the T-matrix for (p,d) transfer on 17O, 41Ca, 49Ca, 127Sn, 133Sn, and 209Pb at 20 and 50 MeV. Additionally we studied (p,d) reactions on 40Ca using the the nonlocal dispersive optical model. We have also included nonlocality consistently into the adiabatic distorted wave approximation and have investigated the effects of nonlocality on on (d,p) transfer reactions for deuterons impinged on 16O, 40Ca, 48Ca, 126Sn, 132Sn, 208Pb at 10, 20, and 50 MeV. We found that for bound states the Perry corrected wave functions resulting from the local equation agreed well with that from the nonlocal equation in the interior region, but discrepancies were found in the surface and peripheral regions. Overall, the Perey correction factor was adequate for scattering states, with the exception for a few partial waves. Nonlocality in the proton scattering state reduced the amplitude of the wave function in the nuclear interior. The same was seen for nonlocality in the deuteron scattering state, but the wave function was also shifted outward. In distorted wave Born approximation studies of (p,d) reactions using the Perey-Buck potential, we found that transfer distributions at the first peak differed by 15-35% as compared to the distribution resulting from local potentials. When using the dispersive optical model, this discrepancies grew to 30-50%. When nonlocality was included consistently within the adiabatic distorted wave approximation, the disagreement was found to be ~40%. This highlights the necessity to pursue reaction formalisms that include nonlocality exactly.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We solved the nonlocal scattering and bound state equations using the Perey-Buck type interaction, and compared to local equivalent calculations. | method 0.86 | 0.94 | 0.04 | asserted 0.98 |
| s1 | Using the distorted wave Born approximation we construct the T-matrix for (p,d) transfer on 17O, 41Ca, 49Ca, 127Sn, 133Sn, and 209Pb at 20 and 50 MeV. | method 0.71 | 0.95 | 0.03 | asserted 0.98 |
| s2 | Additionally we studied (p,d) reactions on 40Ca using the the nonlocal dispersive optical model. | contribution 0.95 | 0.94 | 0.02 | asserted 0.90 |
| s3 | We have also included nonlocality consistently into the adiabatic distorted wave approximation and have investigated the effects of nonlocality on on (d,p) transfer reactions for deuterons impinged on 16O, 40Ca, 48Ca, 126Sn, 132Sn, 208Pb at 10, 20, and 50 MeV. | contribution 0.91 | 0.94 | 0.06 | asserted 0.98 |
| s4 | We found that for bound states the Perry corrected wave functions resulting from the local equation agreed well with that from the nonlocal equation in the interior region, but discrepancies were found in the surface and peripheral regions. | result 1.00 | 0.95 | 0.09 | asserted 1.00 |
| s5 | Overall, the Perey correction factor was adequate for scattering states, with the exception for a few partial waves. | result 0.95 | 0.91 | 0.10 | asserted 1.00 |
| s6 | Nonlocality in the proton scattering state reduced the amplitude of the wave function in the nuclear interior. | result 1.00 | 0.90 | 0.05 | asserted 1.00 |
| s7 | The same was seen for nonlocality in the deuteron scattering state, but the wave function was also shifted outward. | result 1.00 | 0.90 | 0.05 | asserted 1.00 |
| s8 | In distorted wave Born approximation studies of (p,d) reactions using the Perey-Buck potential, we found that transfer distributions at the first peak differed by 15-35% as compared to the distribution resulting from local potentials. | result 1.00 | 0.96 | 0.13 | asserted 1.00 |
| s9 | When using the dispersive optical model, this discrepancies grew to 30-50%. | result 1.00 | 0.92 | 0.07 | asserted 1.00 |
| s10 | When nonlocality was included consistently within the adiabatic distorted wave approximation, the disagreement was found to be ~40%. | result 1.00 | 0.95 | 0.20 | asserted 1.00 |
| s11 | This highlights the necessity to pursue reaction formalisms that include nonlocality exactly. | interpretation 0.55 | 0.31 | 0.84 | asserted 0.90 |
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The paper
Original abstract
We solved the nonlocal scattering and bound state equations using the Perey-Buck type interaction, and compared to local equivalent calculations. Using the distorted wave Born approximation we construct the T-matrix for (p,d) transfer on 17O, 41Ca, 49Ca, 127Sn, 133Sn, and 209Pb at 20 and 50 MeV. Additionally we studied (p,d) reactions on 40Ca using the the nonlocal dispersive optical model. We have also included nonlocality consistently into the adiabatic distorted wave approximation and have investigated the effects of nonlocality on on (d,p) transfer reactions for deuterons impinged on 16O, 40Ca, 48Ca, 126Sn, 132Sn, 208Pb at 10, 20, and 50 MeV. We found that for bound states the Perry corrected wave functions resulting from the local equation agreed well with that from the nonlocal equation in the interior region, but discrepancies were found in the surface and peripheral regions. Overall, the Perey correction factor was adequate for scattering states, with the exception for a few partial waves. Nonlocality in the proton scattering state reduced the amplitude of the wave function in the nuclear interior. The same was seen for nonlocality in the deuteron scattering state, but the wave function was also shifted outward. In distorted wave Born approximation studies of (p,d) reactions using the Perey-Buck potential, we found that transfer distributions at the first peak differed by 15-35% as compared to the distribution resulting from local potentials. When using the dispersive optical model, this discrepancies grew to 30-50%. When nonlocality was included consistently within the adiabatic distorted wave approximation, the disagreement was found to be ~40%. This highlights the necessity to pursue reaction formalisms that include nonlocality exactly.
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