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Nuovo Cimento. A; v. 7(1); p. 153-162

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[en] It is pointed out that first-order nuclear matter calculations with effective interactions must satisfy the Hugenholtz-Van Hove theorem and that this tells one nothing about the validity of the interaction itself. Unawareness of this fact has given rise to incorrect statements and misleading conclusions in the literature which this paper points out and rectifies. (author)

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Journal of Physics. G, Nuclear Physics; ISSN 0305-4616; ; v. 6(2); p. 205-208

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[en] An assessment of the magnitude of the rearrangement contribution to the Fermi energy and to the binding energy per particle is carried out in symmetric nuclear matter by extending the G-matrix framework. The restoration of the thermodynamic consistency or, equivalently, the fulfillment of the Hugenholtz-Van Hove theorem, is discussed

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(c) 2002 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

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[en] We show here that the Hugenholtz–Van Hove theorem for an infinite Fermi system remains valid even with all possible multi-body interaction terms taken into account either separately or in any combination under Hartree–Fock approximation. We further extend the theorem to obtain its most generalized form that would hold good for any multi-component Fermi system. (author)

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Available from DOI: http://dx.doi.org/10.1142/S0218301311020253

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Journal Article

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International Journal of Modern Physics E; ISSN 0218-3013; ; v. 20(10); p. 2203-2208

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Bruch, L.W.

California Univ., San Diego (USA)

California Univ., San Diego (USA)

AbstractAbstract

[en] The Bose gas model for Helium II is considered. Two theoretical formalisms are discussed, first the Hugenholtz-Pines formalism and then a recent description in terms of density fluctuations. The Hugenholtz-Pines theory of the interacting Bose gas is reviewed and a derivation is given which justifies its use in calculations of the energy spectrum but questions its wave functions. Two objections to applications of this theory are discussed: the possibility that the vertex operators become singular when perturbations corrections are included and the existence of the depletion effect in the intermediate density gas. The first objection is rejected after a self-consistent calculation of the corrections in phonon coordinates. The depletion effect is shown to be one of a pair of corrections which at least partially cancel. A serious difficulty is found in specifying n

_{0}, the mean occupation of the zero momentum state in Hugenholtz-Pines theory: Experimental estimates of n_{0}have not included theoretical corrections which are pointed out here, and the theoretical determination is difficult except in the low density limit. The description in terms of density fluctuations is presented in expanded form. It assumes an unspecified macroscopic value for n_{0}and uses the Feynman wave functions as approximate eigenstates. It gives formulas for the energy spectrum which show phonon character at low momentum and are applicable at intermediate densities. No quantity enters in the simple theory which cannot be specified from theory or experiment. Comparison of the predictions of the theory with a special exact solution confirms the validity of the combination of assumptions made in constructing the theoryPrimary Subject

Source

1964; vp p; University Microfilms Order No.78-20,408; Thesis (Ph. D.).

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Report

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Thesis/Dissertation

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AbstractAbstract

[en] We obtain here a new relation for the reduced electric quadrupole transition probability B(E2)↑ of a given nucleus in terms of its derivatives with respect to neutron and proton numbers based on a similar local energy relation in the Infinite Nuclear Matter (INM) model of atomic nuclei, which is essentially built on the foundation of the Hugenholtz–Van Hove (HVH) theorem of many-body theory. Obviously, such a relation in the form of a differential equation is expected to be more powerful than the usual algebraic difference equations. Although the relation for B(E2)↑ has been perceived simply on the basis of a corresponding differential equation for the local energy in the INM model, its theoretical foundation otherwise has been clearly demonstrated. We further exploit the differential equation in using the very definitions of the derivatives to obtain two different recursion relations for B(E2)↑, connecting in each case three neighboring even–even nuclei from lower to higher mass numbers and vice versa. We demonstrate their numerical validity using available data throughout the nuclear chart and also explore their possible utility in predicting B(E2)↑ values. (author)

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Available from DOI: http://dx.doi.org/10.1142/S0218301314500220

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Journal Article

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International Journal of Modern Physics E; ISSN 0218-3013; ; v. 23(4); [14 p.]

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AbstractAbstract

No abstract available

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Timmerhaus, K.D. (ed.); p. 67-71; 1974; Plenum Publishing Corp; New York; 13. international conference on low temperature physics; Boulder, Colorado, USA; 21 Aug 1972

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Book

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Conference

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Nayak, R.C.; Pattnaik, S., E-mail: rcnayak00@yahoo.com

Proceedings of the DAE-BRNS symposium on nuclear physics. V. 56

Proceedings of the DAE-BRNS symposium on nuclear physics. V. 56

AbstractAbstract

[en] Apart from its utility otherwise, Hugenholtz and Van Hove while proving the theorem have clearly brought out the physical meaning associated with the single particle states of an interacting many-fermion system. The theorem has been recently extended to asymmetric nuclear matter, which was then used for constructing a successful mass model well-known in the literature as the infinite nuclear matter (INM) model of atomic nuclei. However the question of its validity in the presence of multi-body interaction terms remains unanswered. Similarly its extension to multi-component Fermi systems would be extremely useful

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Chatterjee, A.; Biswas, D.C.; Shukla, P. (Nuclear Physics Div., Bhabha Atomic Research Centre, Mumbai (India)) (eds.); Board of Research in Nuclear Sciences, Department of Atomic Energy, Mumbai (India); 1183 p; Dec 2011; p. 236-237; 56. DAE-BRNS symposium on nuclear physics; Visakhapatnam (India); 26-30 Dec 2011; 12 refs.

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Book

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No abstract available

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Academia Sinica, Lanzhou (China). Inst. of Modern Physics; National Laboratory of Heavy Ion Accelerator, Lanzhou (China); 190 p; ISBN 7-5022-2421-1; ; Jul 2001; p. 105

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Book

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[en] Photofission cross-section of

^{238}U was measured using Bremsstrahlung radiation energy 7.4–9.0 MeV with energy step of 0.4 MeV by employing Lexan polycarbonate film as solid state nuclear track detector (SSNTD). The photon intensity from the Microtron accelerator at a distance of 15 cm from the Bremsstrahlung converter (tantalum target) facility was estimated to be 10^{10}photons/sec using the code EGS-4. In this paper, details of the fission fragment angular distribution measurements of^{23}8^{U}target using Lexan polycarbonate have been discussed. The photofission cross-section was calculated using the angular distribution of fission fragments and the results were compared with those obtained using the code EMPIRE-II and various barrier parameters of the RIPL-1, RIPL-2 libraries and with the new analytical fission barrier formula based on the Hugenholtz–Van Hove theorem. The present experimental measurements were in good agreement with the results obtained from the Empire-II code predictions for potential parameter taken from RIPL-1 and a newly developed analytical fission barrier formula. (author)Primary Subject

Source

Available from DOI: http://dx.doi.org/10.1142/S021830131102037X

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Journal Article

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International Journal of Modern Physics E; ISSN 0218-3013; ; v. 20(11); p. 2361-2375

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ACTINIDE NUCLEI, ALPHA DECAY RADIOISOTOPES, BOSONS, DISTRIBUTION, ELECTROMAGNETIC RADIATION, ELEMENTARY PARTICLES, ENERGY, EVEN-EVEN NUCLEI, FISSION, HEAVY NUCLEI, ISOTOPES, MASSLESS PARTICLES, NUCLEAR POTENTIAL, NUCLEAR REACTIONS, NUCLEI, PHOTONUCLEAR REACTIONS, POTENTIAL ENERGY, POTENTIALS, RADIATIONS, RADIOISOTOPES, SPONTANEOUS FISSION RADIOISOTOPES, URANIUM ISOTOPES, YEARS LIVING RADIOISOTOPES

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