Skip to main content
SpringerLink
Log in

The fermi-hypernetted-chain method for state-dependent Jastrow-correlated functions

Метод гиперсетчатых цепочек Ферми для состояния, эависяшего от корреляционных функций Ястрова

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

The power series cluster expansion has been derived for an infinite fermion system described by a state-dependent Jastrow correlation function. The resulting terms have been classified and separated into two groups. In the first group all the irreducible terms not containing commutators are included and they are summed up by means of a FHNC procedure wich requires the solution of a set of integral equations. The second group is constituted by terms containing commutators and it is suggested that their complessive contribution should be small: the preliminary numerical calculations are in agreement with this suggestion.

Riassunto

Lo sviluppo in serie di potenze è stato applicato allo studio di sistemi fermionici descritti da funzioni d’onda correlate alla Jastrow con fattori di correlazione dipendenti dallo stato. I termini dello sviluppo sono stati classificati e separati in due gruppi. Nel primo gruppo sono inclusi tutti i termini irriducibili e non contenenti commutatori: questi termini sono stati sommati insieme con un procedimento FHNC che richiede la soluzione di un sistema di equazioni integrali. Il secondo gruppo è costituito da termini contenenti commutatori e si suggerisce che il loro contributo complessivo sia piccolo: ciò è confermato anche dalle prime verifiche numeriche.

Реэюме

Проводится кластерное раэложение в степенной ряд для бесконечной фермионной системы, описываемой корреляционной функцией Ястрова. Члены раэложения классифицируются и раэделяются на группы. В первую группу включаются все неприводимые члены, не содежашие коммутаторов. Эти члены суммируются с помошью FHNC процедуры, которая требует рещения системы интегральных уравнений. Вторая группа состоит иэ членов, содержаших коммутаторы, и предполагается, что их вклад должен быть малым. Предварительные численные расчеты согласуются с зтим предположением.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S.-O. Bäckman, J. W. Clark, W. J. Ter Low, D. A. Chakkalakal andM. L. Ristig:Phys. Lett.,41 B, 247 (1972);J. W. Clark andM. L. Ristig:Phys. Rev. C,7, 1792 (1973).

    Article  ADS  Google Scholar 

  2. C. W. Wong:Phys. Rev. C,3, 1058 (1971).

    Article  ADS  Google Scholar 

  3. V. R. Pandharipande, R. B. Wiringa andB. D. Day:Phys. Lett.,57 B, 205 (1975).

    Article  ADS  Google Scholar 

  4. H. S. Köhler andWu-Tsung Weng:Nucl. Phys.,263 A, 75 (1976).

    Google Scholar 

  5. C. W. Wong: preprint (1976).

  6. B. D. Day:Rev. Mod. Phys.,39, 719 (1967).

    Article  ADS  Google Scholar 

  7. S. Fantoni andS. Rosati:Lett. Nuovo Cimento,10, 545 (1974);Nuovo Cimento,25 A, 593 (1975).

    Article  Google Scholar 

  8. E. Campani, S. Fantoni andS. Rosati:Lett. Nuovo Cimento,12, 395 (1975);15, 21 (1976).

    Article  Google Scholar 

  9. J. W. Clark andM. L. Ristig:Phys. Rev. C,5, 1553 (1972).

    Article  ADS  Google Scholar 

  10. J. G. Zabolitzky:Phys. Lett.,64 B, 233 (1976).

    Article  ADS  Google Scholar 

  11. O. Benhar, C. Ciofi degli Atti, S. Fantoni, S. Rosati, A. Kallio, L. Lantto andP. Toropainen:Phys. Lett.,64 B, 395 (1976).

    Article  ADS  Google Scholar 

  12. J. W. Clark, P. M. Lam andJ. W. Ter Low:Nucl. Phys.,255 A, 1 (1975).

    Article  ADS  Google Scholar 

  13. D. Ceperley, G. V. Chester andM. H. Kalos:Monte Carlo simulation of a many-fermion system, preprint (1977).

  14. B. D. Day: private communication.

  15. J. W. Clark, M. T. Johnson, P. M. Lam andJ. G. Zabolitzky:Nucl. Phys.,283 A, 253 (1977).

    Article  ADS  Google Scholar 

  16. G. A. Baker jr.,M. F. Hind andJ. Kahane:Phys. Rev. C,2, 841 (1970).

    Article  MathSciNet  ADS  Google Scholar 

  17. M. L. Ristig, W. J. Ter Low andJ. W. Clark:Phys. Rev. C,3, 1504 (1971);5, 695 (1972).

    Article  ADS  Google Scholar 

  18. K. E. Kürten andM. L. Ristig:Phys. Lett.,66 B, 113 (1977).

    Article  ADS  Google Scholar 

  19. J. C. Owen, R. F. Bishop andJ. M. Irvine:Nucl. Phys.,277 A, 45 (1977).

    Article  ADS  Google Scholar 

  20. V. R. Pandharipande andR. B. Wiringa:Nucl. Phys.,266 A, 269 (1976).

    Article  ADS  Google Scholar 

  21. S. Fantoni andS. Rosati:Nuovo Cimento,10 A, 145 (1972).

    Article  ADS  Google Scholar 

  22. R. Guardiola, A. Polls, S. Fantoni andS. Rosati: preprint (1977).

  23. O. Benhar, C. Ciofi degli Atti, S. Fantoni andS. Rosati:Phys. Lett.,70 B, 1 (1977).

    Article  ADS  Google Scholar 

  24. See, for example,Handbook of Mathematical Functions, National Bureau of Standards, edited byM. Abramowitz andI. A. Stegun (1964).

Download references

Author information

Authors and Affiliations

  1. Istituto di Fisica dell’Università, Pisa, Italia

    S. Fantoni & S. Rosati

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Italia

    S. Fantoni & S. Rosati

Authors
  1. S. Fantoni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Rosati
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fantoni, S., Rosati, S. The fermi-hypernetted-chain method for state-dependent Jastrow-correlated functions. Nuov Cim A 43, 413–432 (1978). https://doi.org/10.1007/BF02730439

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02730439

Search

Navigation