Optical-Model Analysis of "Quasielastic" (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:mi>n</mml:mi></mml:math>) Reactions

Satchler, G.R.; Drisko, R.M.; Bassel, R.H.

doi:10.1103/physrev.136.b637

Cited by 131 publications

(30 citation statements)

References 36 publications

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“…Because the energies of the analog states are separated approximately by the Coulomb displacement energy, the charge-exchange scattering to the IAS has a nonzero Q value. To account for this effect, the double-folded FF (4) is evaluated at the energy of E = E lab − Q/2, midway between the energies of the incident 3 He and emergent triton, as suggested by Satchler et al [6].…”

Section: Discussionmentioning

confidence: 99%

Charge-exchange scattering to the isobaric analog state at medium energies as a probe of the neutron skin

2014

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The charge-exchange ( 3 He,t) scattering to the isobaric analog state (IAS) of the target can be considered as "elastic" scattering of 3 He by the isovector term of the optical potential (OP) that flips the projectile isospin. Therefore, the accurately measured charge-exchange scattering cross section for the IAS can be a good probe of the isospin dependence of the OP, which is determined exclusively within the folding model by the difference between the neutron and proton densities and isospin dependence of the nucleon-nucleon interaction. Given the neutron skin of the target related directly to the same density difference, it can be well probed in the analysis of the charge-exchange ( 3 He,t) reactions at medium energies when the two-step processes can be neglected and the t-matrix interaction can be used in the folding calculation. For this purpose, the data of the ( 3 He,t) scattering to the IAS of 90 Zr and 208 Pb targets at E lab = 420 MeV have been analyzed in the distorted wave Born approximation using the double-folded charge-exchange form factor. The neutron skin deduced for these two nuclei turned out to be in a good agreement with the existing database.

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Section: Discussionmentioning

confidence: 99%

Charge-exchange scattering to the isobaric analog state at medium energies as a probe of the neutron skin

2014

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“…Since the energies of isobar analog states are separated approximately by the Coulomb displacement energy, the (p, n) transition between them has a nonzero Q value. To account for this effect, the isoscalar U 0 and isovector U 1 potentials used to construct F pn (R) and U n (R) are evaluated at an effective incident energy of E = E lab − Q/2, midway between the energies of the incident proton and emergent neutron, as suggested by Satchler et al [1].…”

Section: A General Formalismmentioning

confidence: 99%

“…The similarity of the initial and final states of the (p, n) reaction makes this reaction very much like an elastic scattering in which the isospin of the incident proton is "flipped." Indeed, the isospin-dependent part of the proton-nucleus optical potential (OP) was used by Satchler et al [1] some 40 years ago as the charge exchange form factor in their study of the (p, n) reaction within the distorted wave Born approximation (DWBA). In general, the central nucleon-nucleus OP can be written in terms of the isovector coupling [2] as…”

Section: Introductionmentioning

confidence: 99%

Folding model study of the isobaric analog excitation: Isovector density dependence, Lane potential, and nuclear symmetry energy

2007

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A consistent folding model analysis of the ( S = 0, T = 1) charge exchange (p, n) reaction measured with 48 Ca, 90 Zr, 120 Sn, and 208 Pb targets at the proton energies of 35 and 45 MeV is done within a two-channel coupling formalism. The nuclear ground state densities given by the Hartree-Fock-Bogoliubov formalism and the density-dependent CDM3Y6 interaction were used as inputs for the folding calculation of the nucleon optical potential and (p, n) form factor. To have an accurate isospin dependence of the interaction, a complex isovector density dependence of the CDM3Y6 interaction has been carefully calibrated against the microscopic Brueckner-Hartree-Fock calculation by Jeukenne, Lejeune, and Mahaux before being used as folding input. Since the isovector coupling was used to explicitly link the isovector part of the nucleon optical potential to the cross section of the (p, n) reaction exciting the 0 + isobaric analog states in 48 Sc, 90 Nb, 120 Sb, and 208 Bi, the newly parametrized isovector density dependence could be well tested in the folding model analysis of the (p, n) reaction. The isospin-and density-dependent CDM3Y6 interaction was further used in the Hartree-Fock calculation of asymmetric nuclear matter, and a realistic estimation of the nuclear symmetry energy was made.

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“…As we are interested in collective contributions, we neglect the single-particle part of the operator in the nuclear matrix element. To this approximation we have In the collective model, neglecting the difference between the isoscalar deformation parameter Po and the mass deformation parameter, we may write the isovector operator as [27,28) For a harmonic vibrator, the first term of Eq. (C3) is zero.…”

Section: Appendix 8: Commutators and Normalizationmentioning

confidence: 99%

Theoretical treatment of analog (p,n) cross sections for odd nuclei: Application to measurements ofPd105at 26 MeV

Madsen¹,

Rw²,

Jd³

et al. 1993

Phys. Rev. C

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Differential cross sections for the (p, n) reaction to the ground-state and excited-state analogs of ' 'Pd have been measured at a proton bombarding energy of 26 MeV. Both the magnitude and the angular distribution of the cross sections for the analog states are found to follow the same general trend observed for the even-even palladium isotopes. Contributions to the analog transition on odd-A targets from spin-Rip, higher multipoles, collective admixtures, and multistep processes are calculated and are found to be of order 1/(N -Z) or smaller, as compared to the (N -Z) scaling expected for the Fermi transition. This is in agreement with our experimental data which show that the analog cross section scales as (N -Z) relative to the neighboring nuclei. Among the excited analog states within the first MeV of excitation, the levels at 0.44 and 0.78 MeV were the most strongly populated. This is consistent with a two-step mechanism involving inelastic scattering and charge exchange, since these two states are also known to have the largest B(E2) values. Although the small predicted magnitude of the additional contributions for nonzero spin targets agrees nicely with the present measurements for ' 'Pd, it leaves the puzzle as to why cross sections for odd isotopes for titanium and molybdenum measured in previous work were found to be larger than corresponding cross sections for adjacent even isotopes.PACS number(s): 25.40.Kv, 21.10.Hw, 27.60.+j the database on odd-even differences in analog states by measuring cross sections for ' Pd to compare with adjacent even isotopes [3]. At the same time, a careful examination of theoretical predictions is presented not just for spin Aip, but also higher multipoles, collective admixtures in the ground state, and higher-order (multistep) contributions to the analog cross section. Section II of this paper gives a description of our experiment and the methods used for data reduction. Section III contains the theoretical development, Sec. IV is a discussion of our results, and Sec. V presents a summary and our conclusions. 47 2077 1993 The American Physical Society 2078 V. A. MADSEN et al. 47

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Optical-Model Analysis of "Quasielastic" (p, n) Reactions

Cited by 131 publications

References 36 publications

Charge-exchange scattering to the isobaric analog state at medium energies as a probe of the neutron skin

Charge-exchange scattering to the isobaric analog state at medium energies as a probe of the neutron skin

Folding model study of the isobaric analog excitation: Isovector density dependence, Lane potential, and nuclear symmetry energy

Theoretical treatment of analog (p,n) cross sections for odd nuclei: Application to measurements ofPd105at 26 MeV

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