Nucleon momentum and density distributions of nuclei

Antonov, A. N.; Nikolaev, V. A.; Petkov, I.Zh.

doi:10.1007/bf01892806

Cited by 196 publications

(403 citation statements)

References 7 publications

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“…CFM The important feature of the dash-dotted distributions is the steep slope behavior when k increases. This behavior is in disagreement with other studies [4,5,7,8] and it is attributed to the fact that the ground state shell model wave functions given in terms of a Slater determinant does not take into account the important effects of the short range dynamical correlation functions. Hence, the short-range repulsive features of the nucleon-nucleon forces are responsible for the high momentum behavior of the NMD [5,7].…”

Section: Resultscontrasting

confidence: 95%

“…In the CFM [4,16], the mixed density is given by (4) Equation (1) corresponds to the general statement of the CFM in which the NDD of the nuclear matter fluctuates around the average distribution, keeping spherical symmetry and uniformity. The diagonal element of (1) (8) and holds only for monotonically decreasing…”

Section: Theorymentioning

confidence: 99%

“…On the basis of (5), the , NMD ), (k n is expressed as [16] (10) is the Fermi-momentum distribution of the system with density ) ( 0 x  . By means of (7), (9) and (10), an explicit form for (11) with normalization condition…”

Section: Theorymentioning

confidence: 99%

“…The form factor ) (q F of the nucleus is also expressed in the CFM and is given by [16] is the form factor of uniform charge density distribution given by…”

Section: Theorymentioning

confidence: 99%

“…The quantities that are measured by particlenucleus and nucleus-nucleus collisions are the cross sections of different reactions, and these contain information on the NMD of target nucleons. The experimental evidence obtained from inclusive and exclusive electron scattering on nuclei established the existence of long-tail behavior of the NMD at high momentum region ( ) [2][3][4][5][6]. In principle, the mean field theories cannot describe correctly NMD and form factors simultaneously [7] and they exhibit a steepslope behavior of NMD at high momentum region.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Nucleon Momentum Distributions and Elastic Electron Scattering form Factors for 22Ne, 26Mg and 30Si Nuclei

Flaiyh¹,

Al-Rahmani²

2012

JNUS

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The nucleon momentum distributions ( NMD ) for the ground state and elastic electron scattering form factors have been calculated in the framework of the coherent fluctuation model and expressed in terms of the weight function (fluctuation function). The weight function has been related to the nucleon density distributions of nuclei and determined from theory and experiment. The nucleon density distributions( NDD ) is derived from a simple method based on the use of the single particle wave functions of the harmonic oscillator potential and the occupation numbers of the states. The feature of long-tail behavior at high momentum region of the NMD has been obtained using both the theoretical and experimental weight functions. IntroductionThe study of momentum wave functions is a powerful tool in studying the ground state properties of nuclei, particularly the momentum distribution of nucleons. The quantitative knowledge of the momentum distribution is very important for revealing the proper mechanism of the nuclear reactions and for their complete description and also it is important in studying the bulk properties of the nucleus such as: total binding and kinetic energies and many other properties of the nucleus [1]. At present, there is no method for directly measuring the NMD in nuclei. The quantities that are measured by particlenucleus and nucleus-nucleus collisions are the cross sections of different reactions, and these contain information on the NMD of target nucleons. The experimental evidence obtained from inclusive and exclusive electron scattering on nuclei established the existence of long-tail behavior of the NMD at high momentum region (

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Section: Resultscontrasting

confidence: 95%

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

“…The form factor ) (q F of the nucleus is also expressed in the CFM and is given by [16] is the form factor of uniform charge density distribution given by…”

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nucleon Momentum Distributions and Elastic Electron Scattering form Factors for 22Ne, 26Mg and 30Si Nuclei

Flaiyh¹,

Al-Rahmani²

2012

JNUS

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Infinite nuclear matter characteristics of the finite nuclei within relativistic mean‐field formalism

2019

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We investigate the mass dependence of the nuclear structure and the effective symmetry energy for the Kr and Ba nuclei. The axially deformed self-consistent relativistic mean field with the nonlinear NL3* parameter set is used in the analysis. The coherent density fluctuation model is adopted to formulate the nuclear matter observables such as symmetry energy, neutron pressure, and symmetry energy curvature of finite nuclei as a function of the radius. We found a notable signature of the shell/subshell closure at N = 50 and 82 for the isotopic chains of Kr and Ba nuclei, respectively.KEYWORDS coherent density fluctuation model -neutron separation energy -relativistic mean field -shell closure -symmetry energy 1

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Spin Dependent Momentum Distributions in Deformed Nuclei

et al. 1995

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We study the properties of the spin dependent one body density in momentum space for odd-A polarized deformed nuclei within the mean field approximation. We derive analytic expressions connecting intrinsic and laboratory momentum distributions. The latter are related to observable transition densities in p-space that can be probed in one nucleon knock-out reactions from polarized targets. It is shown that most of the information contained in the intrinsic spin dependent momentum distribution is lost when the nucleus is not polarized. Results are presented and discussed for two prolate nuclei, 21 Ne and 25 Mg, and for one oblate nucleus, 37 Ar. The effects of deformation are highlighted by comparison to the case of odd-A nuclei in the spherical model.where M λ (p) are the multipoles of the intrinsic momentum distribution (see Eq. (24)), G(λ; JK) is a geometrical coefficient

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Nucleon momentum and density distributions of nuclei

Cited by 196 publications

References 7 publications

Nucleon Momentum Distributions and Elastic Electron Scattering form Factors for 22Ne, 26Mg and 30Si Nuclei

Nucleon Momentum Distributions and Elastic Electron Scattering form Factors for 22Ne, 26Mg and 30Si Nuclei

Infinite nuclear matter characteristics of the finite nuclei within relativistic mean‐field formalism

Spin Dependent Momentum Distributions in Deformed Nuclei

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