Adiabatic approximation for nucleus-nucleus scattering

Johnson, R.C.

doi:10.1063/1.2114701

Cited by 14 publications

(11 citation statements)

References 38 publications

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“…136-137, of Ref. [1], where it is also shown how in the resulting (d, p) matrix element the detailed structure of A and B appears in an overlap function that is only a function of the stripped neutron coordinates. This A(d, p)B reaction amplitude involves values of (r, R) for values of small r within the range of the n-p interaction only.…”

Section: Three-body Schrödinger Equation With Nonlocal N-a and Pmentioning

confidence: 99%

“…n is the Laguerre polynomial of order n. The expression for M (1) 2n can be rewritten via derivatives of φ 0 and H 2n in momentum space…”

Section: Appendixmentioning

confidence: 99%

“…The model is imbedded in a many-body theory in which nuclei A and B enter with their full many-body wave functions through the concept of overlap functions. Channels in which the d-A system is excited into the continuum of broken-up states n + p + A play an important role in the theory and are accounted for by use of adiabatic distorted wave approximation (ADWA) [1].…”

Section: Introductionmentioning

confidence: 99%

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Nonlocality in the adiabatic model ofA(d,p)Breactions

2013

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In a previous publication [Phys. Rev. Lett. 110, 112501 (2013)] we have proposed a generalization of the adiabatic model of (d, p) reactions that allows the nonlocality of the nucleon optical potential to be included in a consistent way together with the deuteron breakup. In this model an effective local d-A potential is constructed from local nucleon optical potentials taken at an energy shifted by ∼40 MeV with respect to the widely used E d /2 value, where E d is the deuteron incident energy. The effective d-A potential is shallower than that traditionally used in the analysis of (d, p) reactions within the adiabatic distorted wave approximation and this affects the calculated cross sections and the nuclear structure quantities obtained from their comparison with experimental data. In the present paper we give full derivation of the deuteron effective potential, consider its leading-order term within the local-energy approximation and discuss corrections to the leading-order term.

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Section: Three-body Schrödinger Equation With Nonlocal N-a and Pmentioning

confidence: 99%

“…n is the Laguerre polynomial of order n. The expression for M (1) 2n can be rewritten via derivatives of φ 0 and H 2n in momentum space…”

Section: Appendixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlocality in the adiabatic model ofA(d,p)Breactions

2013

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“…[7,19]. It should be added that the approximate prescription proposed here is intended for use only in the calculation of the incident channel distorting potential in a particular expression for the A(d,p) [20][21][22].…”

Section: Commentsmentioning

confidence: 99%

“…Such components are often calculated in the adiabatic distorted-wave approximation (ADWA) where the effective deuteron potential is derived from neutron and proton optical potentials taken at some fixed energy [4,5]. Because the introduction of ADWA, the fixed neutron and proton energies used to calculate the adiabatic deuteron potential were always taken to be precisely half of the deuteron incident energy [4,6,7]. Such a prescription seemed to be reasonable from the intuitive point of view that appeals to the low binding energy of deuteron.…”

Section: Introductionmentioning

confidence: 99%

Adiabatic model of(d,p)reactions with explicitly energy-dependent nonlocal potentials

Johnson

Timofeyuk

2014

Phys. Rev. C

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We have developed an approximate way of dealing with explicit energy dependence of nonlocal nucleon optical potentials as used to predict the (d,p) cross sections within the adiabatic theory. Within this approximation, the nonlocal optical potentials have to be evaluated at an energy shifted from half the incident deuteron energy by the n-p kinetic energy averaged over the range of the n-p interaction and then treated as an energy-independent nonlocal potential. Thus, the evaluation of the distorting potential in the incident channel is reduced to a problem solved in our previous work [N. K. 41 Ca reactions and highlighted the need for a detailed understanding of the energy dependence of nonlocal potentials. We have also suggested a simple way of correcting the d-A effective potentials for nonlocality when the underlying energy-dependent nonlocal nucleon potentials are unknown but energy-dependent local phenomenological nucleon potentials are available.

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Determining and calculating spectroscopic factors from stable nuclei to the drip lines

Dickhoff

2010

J. Phys. G: Nucl. Part. Phys.

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A survey of our present understanding of absolute spectroscopic factors near stable closed-shell nuclei is given based on our current interpretation of the (e, e′p) reaction. Uncertainties associated with the imprecise knowledge of the degree of nonlocality of the optical potential of the knocked out proton are identified. Theoretical expectations for the dependence of spectroscopic factors on the nucleon asymmetry are outlined. Conflicting results obtained from various reactions concerning the asymmetry dependence of spectroscopic factors are surveyed. The possibility of obtaining reliable absolute spectroscopic factors with reactions initiated by hadrons is discussed with special emphasis on present and future radioactive beam experiments. The combined and integrated analysis of such reactions using a Green's function framework in the form of an extended dispersive optical model may provide a useful approach to resolve this theoretical open problem.

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Adiabatic approximation for nucleus-nucleus scattering

Cited by 14 publications

References 38 publications

Nonlocality in the adiabatic model ofA(d,p)Breactions

Nonlocality in the adiabatic model ofA(d,p)Breactions

Adiabatic model of(d,p)reactions with explicitly energy-dependent nonlocal potentials

Determining and calculating spectroscopic factors from stable nuclei to the drip lines

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