Quasielastic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi /></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>p</mml:mi><mml:mo>)</mml:mo></mml:math>reaction at high momentum transfer

Morrison, John H.; Baghaei, H.; Bertozzi, W.; Gilad, S.; Glickman, J.; Hyde‐Wright, C. E.; Kalantar‐Nayestanaki, N.; Lourie, R.; Penn, S.; Ulmer, P. E.; Weinstein, L. B.; Cottman, B. H.; Ghedira, L.; Winhold, E.J.; Calarco, J. R.; Wise, J.; Boberg, P. R.; Cc, Chang; Zhang, D.; Aniol, K.; Epstein, M. B.; Margaziotis, D. J.; Finn, J. M.; Perdrisat, C. F.; Punjabi, V.

doi:10.1103/physrevc.59.221

Cited by 19 publications

(20 citation statements)

References 49 publications

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“…A systematic study [12] of (e, e ′ p) data [13,14,15,16,17,18,19] has shown that the best chance for an identification of the correlated strength occurs for data taken in parallel kinematics, i.e. with the initial nucleon momentum k parallel to the momentum transfer q (most available data have been taken in (nearly) perpendicular kinematics).…”

mentioning

confidence: 99%

Correlated Strength in the Nuclear Spectral Function

Rohe

Armstrong²,

Asaturyan³

et al. 2004

Phys. Rev. Lett.

115

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We have carried out an (e,e'p) experiment at high momentum transfer and in parallel kinematics to measure the strength of the nuclear spectral function S(k, E) at high nucleon momenta k and large removal energies E. This strength is related to the presence of short-range and tensor correlations, and was known hitherto only indirectly and with considerable uncertainty from the lack of strength in the independent-particle region. This experiment locates by direct measurement the correlated strength predicted by theory.PACS numbers: 21.10. Jx, 25.30.Fj Introduction. The concept of independent particle (IP) motion has been rather successful in the description of atomic nuclei; the shell model, based on the assumption that nucleons move, independently from each other, in the average potential created by the interaction with all other nucleons, has been able to explain many nuclear properties. This success often comes at the expense of the need to use effective operators that implicitly account for the shortcomings of the IP basis.A more fundamental approach to the understanding of nuclei has to start from the underlying nucleon-nucleon (N-N) interaction. This N-N interaction is well known from many experiments on N-N scattering, and several modern parameterizations are available. The N-N interaction exhibits a strongly repulsive central interaction at small internucleon distances, and at medium distances a strong tensor component. These features lead to properties of nuclear wave functions that are beyond what is describable in terms of an IP model. In particular, strong short-range correlations (SRC) are expected to occur.The effects of the short-range correlations were studied for systems where the Schrödinger equation can be solved for a realistic N-N interaction [1]. Very light nuclei (today up to A≤10) and infinite nuclear matter are amongst the systems where this is feasible [2,3,4]. The corresponding calculations show that in a microscopic description of nuclear systems the short-range and tensor parts of the N-N interaction have a very important, not to say dominating, influence without which not even nuclear binding can be explained.The consequences of these short-range correlations are that the momentum distributions of nucleons acquire a tail extending to very high momenta k and at the same

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mentioning

confidence: 99%

Correlated Strength in the Nuclear Spectral Function

Rohe

Armstrong²,

Asaturyan³

et al. 2004

Phys. Rev. Lett.

115

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“…Pr 3+ (f 2 ) ion in Cs 2 NaPrCl 6 [11] and Er 3+ (f 11 ) ion in ErAs [12,13] are considered below by way of example…”

Section: Usage Of the Multipolar Additivity Of The Squares Of The Cf mentioning

confidence: 99%

“…Section 3 covers two examples of this algebraic direct parametrization method: two systems with octahedral (O h ) central-ion point symmetry. The first is Pr 3+ in Cs 2 NaPrCl 6 [11], while the second Er 3+ in ErAs [12,13]. The obtained CFP magnitudes are compared with those values available in the literature.…”

mentioning

confidence: 99%

“…Section 4 in turn focuses on a very distinguished highsymmetry CF problem of electron states |J = 2 and |J = 5/2 which then becomes split only by 2 4 -pole component of H CF . The analysis is based on several examples of such states for RE 3+ ions in the cubic hexachloroelpasolite crystal matrix [11,[14][15][16][17]. In addition, a verification of the H CF parametrization for the Eu 3+ ion diluted in ThO 2 matrix of cubic symmetry (CaF 2 structure) [18] by the proposed method is presented.…”

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confidence: 99%

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A direct algebraic parametrization of the high-symmetry crystal-field Hamiltonians

Mulak

2015

Phys. Status Solidi B

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An algebraic, calculational, non‐fitting method of parametrization of the cubic and hexagonal crystal‐field (CF) Hamiltonians false(HCFfalse) with only two independent CF parameters B40 and B60 is proposed. It is based on the linear relation σ2false(Jfalse)=∑kAk2false(Jfalse)Sk2 between σ2false(Jfalse) the square of the second moment of the electron state false|J〉 CF splitting and the squares of the multipolar CF strengths Sk2=12k+1∑qfalse|Bkq|2, where AkJ=〈Jfalse|false|Cfalse(kfalse)false|false|J〉. For a pair of false|Ji〉 and false|Jj〉 electron states an algebraic solution for S42 and S62, and hence for the B40 and B60 CF parameters can be gained. The necessary conditions for physical correctness of the solutions false(Sk2≥0false) impose limitations on the observed σ2false(Jifalse)/σ2false(Jjfalse) ratios depending on the respective ratios Ak2false(Jifalse)/Ak2false(Jjfalse). These restrictions can be used to verify postulated CF splitting diagrams. In the high‐symmetry crystal fields, the electron states with J=2 or 5/2 undergo splitting only by the k=4 HCF multipole, and from their CF splitting second moments the B40 parameter can be directly obtained. For J=2, false|B40false|=6310Δfalse(Jfalse)false|A4false(Jfalse)false|, whereas for J=5/2, false|B40false|=7Δfalse(Jfalse)false|A4false(Jfalse)false|, where Δ is the energy gap between the two Stark's levels of the false|J〉 state. The proposed method is demonstrated and discussed for several systems of RE3+ ions in some high‐symmetry crystal matrices.

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“…[22][23][24][25][26]). The resulting cross-section data were much larger than the predictions of singleparticle knockout models [137].…”

Section: B Higher Missing Energiesmentioning

confidence: 99%

Dynamics of the quasielasticO16(e,e′p)reaction at
Fissum¹,
Liang²,
Anderson³
et al. 2004
Phys. Rev. C
Self Cite

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The physics program in Hall A at Jefferson Lab commenced in the summer of 1997 with a detailed investigation of the 16 O(e, e ′ p) reaction in quasielastic, constant (q, ω) kinematics at Q 2 ≈ 0.8 (GeV/c) 2 , q ≈ 1 GeV/c, and ω ≈ 445 MeV. Use of a self-calibrating, self-normalizing, thin-film waterfall target enabled a systematically rigorous measurement. Five-fold differential cross-section data for the removal of protons from the 1p-shell have been obtained for 0 < pmiss < 350 MeV/c. Six-fold differential cross-section data for 0 < Emiss < 120 MeV were obtained for 0 < pmiss < 340 MeV/c. These results have been used to extract the ALT asymmetry and the RL, RT , RLT , and RL+T T effective response functions over a large range of Emiss and pmiss. Detailed comparisons of the 1p-shell data with Relativistic Distorted-Wave Impulse Approximation (rdwia), Relativistic Optical-Model Eikonal Approximation (romea), and Relativistic Multiple-Scattering Glauber Approximation (rmsga) calculations indicate that two-body currents stemming from Meson-Exchange Currents (MEC) and Isobar Currents (IC) are not needed to explain the data at this Q 2 . Further, dynamical relativistic effects are strongly indicated by the observed structure in ALT at pmiss ≈ 300 MeV/c. For 25 < Emiss < 50 MeV and pmiss ≈ 50 MeV/c, proton knockout from the 1s 1/2 -state dominates, and romea calculations do an excellent job of explaining the data. However, as pmiss increases, the single-particle behavior of the reaction is increasingly hidden by more complicated processes, and for 280 < pmiss < 340 MeV/c, romea calculations together with two-body currents stemming from MEC and IC account for the shape and transverse nature of the data, but only about half the magnitude of the measured cross section. For 50 < Emiss < 120 MeV and 145 < pmiss < 340 MeV/c, (e, e ′ pN ) calculations which include the contributions of central and tensor correlations (two-nucleon correlations) together with MEC and IC (two-nucleon currents) account for only about half of the measured cross section. The kinematic consistency of the 1p-shell normalization factors extracted from these data with respect to all available 16 O(e, e ′ p) data is also examined in detail. Finally, the Q 2 -dependence of the normalization factors is discussed.

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Quasielastic12C(e,e′p)reaction at high momentum transfer

Cited by 19 publications

References 49 publications

Correlated Strength in the Nuclear Spectral Function

Correlated Strength in the Nuclear Spectral Function

A direct algebraic parametrization of the high-symmetry crystal-field Hamiltonians

Dynamics of the quasielasticO16(e,e′p)reaction at
Fissum¹,
Liang²,
Anderson³
et al. 2004
Phys. Rev. C
Self Cite

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Quasielastic12C(e,e′p)reaction at high momentum transfer

Cited by 19 publications

References 49 publications

Correlated Strength in the Nuclear Spectral Function

Correlated Strength in the Nuclear Spectral Function

A direct algebraic parametrization of the high-symmetry crystal-field Hamiltonians

Dynamics of the quasielasticO16(e,e′p)reaction atFissum1, Liang2, Anderson3 et al. 2004Phys. Rev. CSelf Cite

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Product

Resources

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Dynamics of the quasielasticO16(e,e′p)reaction at
Fissum¹,
Liang²,
Anderson³
et al. 2004
Phys. Rev. C
Self Cite