Fermi hypernetted-chain evaluation of a generalized momentum distribution for model nuclear matter

Mavrommatis, E.; Petraki, M.; Clark, J. W.

doi:10.1103/physrevc.51.1849

Cited by 10 publications

(26 citation statements)

References 31 publications

(20 reference statements)

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“…[44] a different intrinsic TBMD operatorn [2] was defined formally in terms of Jacobi momenta, with a somewhat different physical interpretation. The two operators,n 2 and n [2] , are connected via the relation…”

Section: Center Of Mass Correctionsmentioning

confidence: 99%

“…The values of its parameters c and β are 0.76 and 0.83 fm respectively and the wound parameter κ ( κ = (1 − f (r 12 )) 2 ρ 0 2 (r 12 )d 3 r 12 , ρ 0 2 (r 12 ) is the relative pair density distribution function calculated in the HO model and normalized to unity) equals 0.018. Second, the Gaussian correlation function (g 2 ) which has been used for the calculation of GMD of infinite nuclear matter with the FHNC/0 approach [2], [48] has been used aiming on one hand to compare the LOA results in 4 He with the FHNC/0 results in infinite nuclear matter obtained with the same correlation function, and on the other to test the sensitivity of the results on the strength of the correlation function used. In addition, g 2 has been used to estimate the CM corrections on n( p), as discussed later.…”

Section: Application To 4 Hementioning

confidence: 99%

“…For infinite systems, such as considered in Refs. [1,2], CM correlations are not relevant. For large selfbound systems like heavy nuclei, they are also not very important.…”

Section: Introductionmentioning

confidence: 99%

“…[1][2][3] no distinction was made between "laboratory" momenta and intrinsic momenta, i.e., momenta with respect to the Center of Mass (CM) frame. For infinite systems, such as considered in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…In a system of A (A ≥ 2) identical particles described by a unit-normalized state |Ψ , the generalized momentum distribution n( p, Q) (GMD) is defined by [1,2,3] n( p, Q) = N Ψ| k,s,s ′ ,t,t ′ a † k+ Q,s ′ ,t ′ a † p− Q,s,t a p,s,t a k,s ′ ,t ′ |Ψ .…”

Section: Introductionmentioning

confidence: 99%

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The effect of short-range correlations on the generalized momentum distribution in finite nuclei

Moustakidis¹,

Papakonstantinou²,

Mavrommatis³

2007

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

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The effect of dynamical short-range correlations on the generalized momentum distribution n( p, Q) in the case of Z = N , ℓ-closed shell nuclei is investigated by introducing Jastrow-type correlations in the harmonic-oscillator model. First, a low order approximation is considered and applied to the nucleus 4 He. Compact analytical expressions are derived and numerical results are presented and the effect of center-of-mass corrections is estimated. Next, an approximation is proposed for n( p, Q) of heavier nuclei, that uses the above correlated n( p, Q) of 4 He. Results are presented for the nucleus 16 O. It is found * e-mail: moustaki @ auth.gr † e-mail: panagiota.papakonstantinou @ physik.tu-darmstadt.de ‡ e-mail: emavrom @ phys.uoa.gr 1 that the effect of short-range correlations is significant for rather large values of the momenta p and/or Q and should be included, along with center of mass corrections for light nuclei, in a reliable evaluation of n( p, Q) in the whole domain of p and Q.

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Section: Center Of Mass Correctionsmentioning

confidence: 99%

Section: Application To 4 Hementioning

confidence: 99%

“…For infinite systems, such as considered in Refs. [1,2], CM correlations are not relevant. For large selfbound systems like heavy nuclei, they are also not very important.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The effect of short-range correlations on the generalized momentum distribution in finite nuclei

Moustakidis¹,

Papakonstantinou²,

Mavrommatis³

2007

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

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Two-body density matrix for closed s-d shell nuclei

Dimitrova

Kadrev

Antonov

et al. 2000

EPJ A

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Effect of NN correlations on predictions of nuclear transparencies for protons, knocked out in high Q2 (e, e′ p) reactions

Rinat

Taragin

1996

Nuclear Physics A

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We study the transparency T of nuclei for nucleons knocked-out in highenergy semi-inclusive (e, e ′ p) reactions, using an improved theoretical input, discussed by Nikolaev et al. We establish that neglect of N N -correlations between the knocked-out and core nucleons reduces nuclear transparencies by ≈ 15% for light, to ≈ 10% for heavy nuclei. About the same is predicted for transparencies, integrated over the transverse or longitudinal momentum of the outgoing proton. Hadron dynamics predicts a roughly constant T beyond Q 2 ≈2 GeV 2 , whereas for all targets the largest measured data point Q 2 =6.7GeV 2 appears to lie above that plateau. Large error bars on those data-points preclude a conclusion regarding the onset of colour transparency. In the past few years there has been a keen interest in high-energy semi-inclusive (SI)A(e, e ′ p)X reactions, from which one wishes to extract the transparency T of nuclei for a knocked-out nucleon. Special interest centers on the possibility that from some threshold on, and initially growing with Q 2 , the medium is far more transparent than hadronic dynamics predicts. QCD in fact predicts such behaviour. Depending on the circumstances, it allocates to the state of a knocked-out proton during the time it passes a nucleus, a small-sized nonhadronic component. For it the medium has an anomalously large (colour) transparencyThe recently published SLAC NE18 experiment with electron 4-momentum transfers 1 ≤ Q 2 (GeV 2 ) ≤ 6.7 on various targets [2,3], has been considered to be a possible testing ground for the onset of CT. An obvious prerequisite for its detection is a demonstration that standard hadronic dynamics is not capable to account for the data. This is only possible if both available data and predictions are accurate.The above explains maybe the veritable plethora of published predictions which not infrequently refer to different dynamic input elements or kinematic details [4][5][6][7][8][9][10][11][12][13][14]. Moreover, while data have been taken and analyzed, there had been no definitive information available on experimental details such as cuts on missing mass and momenta, or detector acceptances.This rendered uncertain, which calculated transparency should ultimately be compared with data and invited tests of the sensitivity of predicted transparencies for extremeThe present note is an outgrow of work by Nikolaev and co-workers, especially Refs. [6,7] and also of [12]. In all, one considers SI reactions where the projectile excites high-lying core states. Application of closure over those states leads to the SI coincidence cross section, integrated over the electron energy loss. The corresponding transparency will for brevity be called the energy integrated one, T E .In general one considers situations where cuts have been applied, i.e. when the underlying

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Fermi hypernetted-chain evaluation of a generalized momentum distribution for model nuclear matter

Cited by 10 publications

References 31 publications

The effect of short-range correlations on the generalized momentum distribution in finite nuclei

The effect of short-range correlations on the generalized momentum distribution in finite nuclei

Two-body density matrix for closed s-d shell nuclei

Effect of NN correlations on predictions of nuclear transparencies for protons, knocked out in high Q2 (e, e′ p) reactions

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