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Regularized delta interactions for nuclear structure calculations

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Presentation on theme: "Regularized delta interactions for nuclear structure calculations"— Presentation transcript:

1 Regularized delta interactions for nuclear structure calculations
Karim Bennaceur, Jacek Dobaczewski, Francesco Raimondi International Nuclear Physics Conference (INPC 2013) Florence, Italy, 3-7 June 2013 1

2 Outline Standard effective interactions in nuclear physics
Regularized pseudopotentials Three-body forces vs. density-dependent terms Interactions without density dependence Conclusions

3 Standard effective interactions

4 Regularized pseudopotentials
J.D, K. Bennaceur, F. Raimondi, J. Phys. G. 39, (2012)

5 Regularized pseudopotentials
J.D, K. Bennaceur, F. Raimondi, J. Phys. G. 39, (2012)

6 Regularized pseudopotentials vs. Gogny
J.D, K. Bennaceur, F. Raimondi, J. Phys. G. 39, (2012)

7 Skyrme’s three-body interaction

8 The density dependence is born

9 The density dependence is exploited
(MeV fm6) 17000 14000 9331 5000

10 The density dependence causes havoc
Particle-number projection impossible Strong self interaction present J.D. et al., Phys. Rev. C 76, (2007) D. Tarpanov. et al., to be published

11 Poster NS232 The density dependence causes havoc
Particle-number projection impossible Strong self interaction present Poster NS232 J.D. et al., Phys. Rev. C 76, (2007) D. Tarpanov. et al., to be published

12 First density-independent finite-range interactions based on regularized pseudopotentials
K. Bennaceur, J.D, F. Raimondi, arXiv:

13 Equations of state zero range density-dependent density-independent
REG2b D1N SLy4 SV K. Bennaceur, J.D, F. Raimondi, arXiv: density-dependent density-independent finite range

14 Masses of doubly magic nuclei
K. Bennaceur, J.D, F. Raimondi, arXiv:

15 Conclusions We introduced a new class of energy density functionals that are based on regularized pseudopotentials. They allow for constructing density-independent finite-range interactions. In our opinion, future prospects for using the proposed regularized pseudopotentials are high. They may present better convergence properties than similar expansions based on the zero-range interactions. They allow for convergent summations of contributions from high single-particle momenta, They allow for formulating a consistent expansion in terms of the orders of derivatives, with the convergence properties gauged against the regularization scale. They allow for consistent beyond-mean field calculations. The regularized pseudopotentials give us a possibility of building an order-by-order correctible theory.

16 Thank you

17 Coupling constants of the regularized pseudopotentials
L ≈ 700 MeV/c ≈ 3.8 fm-1 J.D, K. Bennaceur, F. Raimondi, J. Phys. G. 39, (2012)

18 v2n =f2 L2n V2n for f=35 MeV/(c)3/2
Coupling constants of the regularized pseudopotentials in natural units v2n =f2 L2n V2n for f=35 MeV/(c)3/2 J.D, K. Bennaceur, F. Raimondi, J. Phys. G. 39, (2012)

19 Pseudopotentials F. Raimondi et al., Phys. Rev. C 83, (2011)

20 Regularized pseudopotentials
J.D, K. Bennaceur, F. Raimondi, J. Phys. G. 39, (2012)

21 Regularized pseudopotentials vs. Gogny
J.D, K. Bennaceur, F. Raimondi, J. Phys. G. 39, (2012)

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