Skip to main content

UV and IR Properties of the NCSM

  • Chapter
  • First Online:
Extensions to the No-Core Shell Model

Part of the book series: Springer Theses ((Springer Theses))

  • 466 Accesses

Abstract

In this chapter we discuss some of the formal aspects of NCSM calculations and the subsequent extrapolations to \(N_\mathrm{max}\rightarrow \infty \). The NCSM calculations, even when the bare Hamiltonian is used, depend on two parameters: \(N_\mathrm{max}\) (the size of the basis) and \(\hbar \Omega \) (the HO ‘frequency’ chosen for the basis).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    A scale is a physical property of the system, in this case, set by the nuclear interaction, whereas a regulator reflects a variable mathematical quantity.

  2. 2.

    Private communication at the DNP conference in 2011.

References

  1. D.R. Entem, R. Machleidt, Phys. Rev. C 68, 041001 (2003). http://link.aps.org/doi/10.1103/PhysRevC.68.041001

  2. P. Navrátil, E. Caurier, Phys. Rev. C 69, 014311 (2004). http://link.aps.org/doi/10.1103/PhysRevC.69.014311

  3. C. Forssén, J.P. Vary, E. Caurier, P. Navrátil, Phys. Rev. C 77, 024301 (2008). http://link.aps.org/doi/10.1103/PhysRevC.77.024301

  4. P. Maris, J.P. Vary, A. M. Shirokov, Phys. Rev. C 79, 014308 (2009). http://link.aps.org/doi/10.1103/PhysRevC.79.014308

  5. I. Stetcu, B. Barrett, U. van Kolck, Phys. Lett. B 653, 358 (2007a). ISSN issn 0370–2693, http://www.sciencedirect.com/science/article/pii/S0370269307009185

  6. I. Stetcu, B.R. Barrett, U. van Kolck, J.P. Vary, Phys. Rev. A 76, 063613 (2007b). http://link.aps.org/doi/10.1103/PhysRevA.76.063613

  7. I. Stetcu, J. Rotureau, B. Barrett, U. van Kolck, Ann. Phys. 325, 1644 (2010). ISSN issn 0003–4916, http://www.sciencedirect.com/science/article/pii/S0003491610000400

  8. J. Rotureau, I. Stetcu, B.R. Barrett, M.C. Birse, U. van Kolck, Phys. Rev. A 82, 032711 (2010). http://link.aps.org/doi/10.1103/PhysRevA.82.032711

  9. E.D.Jurgenson (2009), Ph.D. Thesis (Advisor: R.J. Furnstahl). arXiv:0912.2937[nucl-th]

    Google Scholar 

  10. A. Kievsky, S. Rosati, M. Viviani, L.E. Marcucci, L. Girlanda, J. Phys. G: Nucl. Part. Phys. 35, 063101 (2008). http://stacks.iop.org/0954-3899/35/i=6/a=063101

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michael Karl Gerhard Kruse .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Kruse, M.K.G. (2013). UV and IR Properties of the NCSM. In: Extensions to the No-Core Shell Model. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01393-0_4

Download citation

Publish with us

Policies and ethics