11-MeV Proton Optical-Model Analysis

Perey, C.M.; Perey, F.G.; Dickens, J.K.; Silva, R. J.

doi:10.1103/physrev.175.1460

Cited by 63 publications

(31 citation statements)

References 16 publications

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“…For this nucleus, in ref [14] the inverse diffusion parameter is given as a = 1.538f m The calculated energy spectra of an α particle with mass m = 3727.379MeV /c 2 in the nucleus are tabulated in Table 1 and Table 2 for WS and GSWS, respectively. Purely real bound state energy eigenvalues in both spectra imply infinite time constants, which mean The energy spectrum of the α particle within Bh-270 nucleus under GSWS potential well assumption.…”

Section: An Application Of the Formalism For Bh-270 Nucleusmentioning

confidence: 99%

“…where θ(±x) are the Heaviside step functions, a is the reciprocal of the diffusion coefficient, L measures the size of the nucleus, V 0 is the depth of the potential, given by [14] V 0 = 40.5 + 0.13A,…”

Section: The Modelmentioning

confidence: 99%

“…The WS potential well [12] is widely employed to model the physical systems in nuclear [12][13][14][15][16][17][18][19][20][21], atom-molecule [21,22], relativistic [23][24][25][26][27][28][29][30][31] and non-relativistic [32][33][34][35][36][37] physics problems.…”

Section: Introductionmentioning

confidence: 99%

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Comparative Effect of an Addition of a Surface Term to Woods-Saxon Potential on Thermodynamics of a Nucleon

Lütfüoğlu¹

2018

Commun. Theor. Phys.

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In this study, we reveal the difference between Woods-Saxon (WS) and Generalized Symmetric Woods-Saxon (GSWS) potentials in order to describe the physical properties of a nucleon, by means of solving Schrödinger eq. for the two potentials. The additional term squeezes the WS potential well, which leads an upward shift in the spectrum, resulting in a more realistic picture.The resulting GSWS potential does not merely accommodate extra quasi bound states, but also has modified bound state spectrum. As an application, we apply the formalism to a real problem, an α particle confined in Bohrium-270 nucleus. The thermodynamic functions Helmholtz energy, entropy, internal energy, specific heat of the system are calculated and compared for both wells. The internal energy and the specific heat capacity increase as a result of upward shift in the spectrum.The shift of the Helmholtz free energy is a direct consequence of the shift of the spectrum. The entropy decreases because of a decrement in the number of available states.

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Section: An Application Of the Formalism For Bh-270 Nucleusmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

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Comparative Effect of an Addition of a Surface Term to Woods-Saxon Potential on Thermodynamics of a Nucleon

Lütfüoğlu¹

2018

Commun. Theor. Phys.

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“…So, the obtained solution of hyper -radial Schrödinger equation by using the eigenfunction of the ground state is exactly equal with the solution obtained by using NU method.V. RESULTS AND DISCUSSIONIn this chapter, in order to analyze the present qualitative findings, the single particle energy levels, the effective potentials and normalized hyper -radial wave functions of neutron moving under the average potential field of the 56 F e nucleus in the form the generalized Woods-Saxon potential field, are calculated for various values of n r and l quantum numbers by using the empirical values r 0 = 1.285 f m and a = 0.65 f m taken from Ref [62]…”

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confidence: 99%

Bound states of the D-dimensional Schrödinger equation for the generalized Woods–Saxon potential

2019

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In this paper, the approximate analitical solutions of the hyper-radial Schrödinger equation are obtained for the generalized Wood-Saxon potential by implementing the Pekeris approximation to surmount the centrifugal term. The energy eigenvalues and corresponding hyper-radial wave functions are found for any angular momentum case via the Nikiforov-Uvarov (NU) and Supersymmetric quantum mechanics (SUSY QM) methods. Hence, the same expressions are obtained for the energy eigenvalues, and the expression of hyper-radial wave functions transformed each other is shown owing to these methods. Furthermore, a finite number energy spectrum depending on the depths of the potential well V 0 and W , the radial n r and l orbital quantum numbers and parameters D, a, R 0 are also identified in detail. Finally, the bound state energies and the corresponding normalized hyper-radial wave functions for the neutron system of the a 56 F e nucleus are calculated in D = 2 and D = 3, as well as the energy spectrum expressions of other highest dimensions are identified by using the energy spectrum of D = 2 and D = 3.

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“…(4.6) of the ground state eigenfunction is exactly same with the result obtained by using NU method.V. RESULTS AND DISCUSSIONIn this chapter, in order to analyze the present qualitative findings, the single particle energy levels, the effective potentials and normalized wave functions of neutron moving under the average potential field of the 56 F e nucleus are calculated for various n r and l quantum numbers by using the empirical values r 0 = 1.285 f m and a = 0.65 f m taken fromRef [40]…”

mentioning

confidence: 99%

The bound state solutions of the D-dimensional Schrödinger equation for the Woods–Saxon potential

Badalov

2016

Int. J. Mod. Phys. E

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In this work, the analytical solutions of the D-dimensional Schrödinger equation are studied in great detail for the Wood-Saxon potential by taking advantage of the Pekeris approximation.Within a novel improved scheme to surmount centrifugal term, the energy eigenvalues and corresponding radial wave functions are found for any angular momentum case within the context of the Nikiforov-Uvarov (NU) and Supersymmetric quantum mechanics (SUSYQM) methods. In this way, based on these methods, the same expressions are obtained for the energy eigenvalues, and the expression of radial wave functions transformed each other is demonstrated. In addition, a finite number energy spectrum depending on the depth of the potential V 0 , the radial n r and orbital l quantum numbers and parameters D, a, R 0 are defined as well.

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11-MeV Proton Optical-Model Analysis

Cited by 63 publications

References 16 publications

Comparative Effect of an Addition of a Surface Term to Woods-Saxon Potential on Thermodynamics of a Nucleon

Comparative Effect of an Addition of a Surface Term to Woods-Saxon Potential on Thermodynamics of a Nucleon

Bound states of the D-dimensional Schrödinger equation for the generalized Woods–Saxon potential

The bound state solutions of the D-dimensional Schrödinger equation for the Woods–Saxon potential

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