Method simplifying calculation of coefficients of fractional parentage for translationally invariant shell-model

• Authors: Saulius Mickevičius , Darius Germanas , Ramutis Kalinauskas
• Languages of publication: EN

Abstracts

EN

A new procedure for large-scale calculations of the coefficients of fractional parentage (CFP) for many-particle systems is presented. The approach is based on a simple enumeration scheme for antisymmetric N particle states, and we suggest an efficient method for constructing the eigenvectors of two-particle transposition operator $$P_{N_1 ,N}$$ in a subspace where N
1 and N
2 = N − N
1 nucleons basis states are already antisymmetrized. The main result of this paper is that according to permutation operators $$P_{N_1 ,N}$$ eigenvalues we can distinguish totally asymmetrical N particle states from the other states with lower degree of asymmetry.

Keywords

EN

mathematical methods in physics; algebraic methods; nuclear shell model

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 5
• Pages: 568-574

Dates

published

1 - 5 - 2013

online

28 - 7 - 2013

Contributors

author

Saulius Mickevičius

• Vytautas Magnus University, K. Donelaičio 58, LT-44248, Kaunas, Lithuania

author

Darius Germanas

• Center for Physical Sciences and Technology, Savanorių 231, LT-02300, Vilnius, Lithuania

author

Ramutis Kalinauskas

• Center for Physical Sciences and Technology, Savanorių 231, LT-02300, Vilnius, Lithuania

References

• [1] G. Racah, Phys. Rev. 63, 367 (1943) http://dx.doi.org/10.1103/PhysRev.63.367[Crossref]
• [2] P.J. Redmond, Proc. R. Soc. London Ser. A 222, 84 (1954) http://dx.doi.org/10.1098/rspa.1954.0054[Crossref]
• [3] A. Deveikis, G.P. Kamuntavicius, Lith. J. Phys. 35, 14 (1995)
• [4] A. Deveikis, R.K. Kalinauskas, B.R. Barrett, Ann. Phys-New York 296, 287 (2002) http://dx.doi.org/10.1006/aphy.2002.6229[Crossref]
• [5] C.R. Sarma, A.V.V. Nampoothiri, J. Comput. Chem. 21, 185 (2000) http://dx.doi.org/10.1002/(SICI)1096-987X(200002)21:3<185::AID-JCC2>3.0.CO;2-P[Crossref]
• [6] G.P. Kamuntavicius, A. Mašalaitė, S. Mickevicius, D. Germanas, R.K. Kalinauskas, R. Žemaiciūnienė, Lith. J. Phys. 46, 395 (2006) http://dx.doi.org/10.3952/lithjphys.46412[Crossref]
• [7] M. Hamermesh, Group Theory and its Application to Physics, (Addison-Wesley, New York, 1963)
• [8] V. Vanagas, Algebraic Methods in Nuclear Theory, (Mintis, Vilnius, 1971) (in Russian)
• [9] G.P. Kamuntavicius, D. Germanas, R.K. Kalinauskas, R. Žemaiciūnienė, Lith. J. Phys. 43, 81 (2003)
• [10] G.P. Kamuntavicius, R.K. Kalinauskas, B.R. Barrett, S. Mickevicius, D. Germanas, Nucl. Phys. A 695, 191 (2001) http://dx.doi.org/10.1016/S0375-9474(01)01101-0[Crossref]
• [11] D. Germanas, R.K. Kalinauskas, G.P. Kamuntavicius, R. Žemaiciūnienė, Lith. J. Phys. 44, 243 (2004) http://dx.doi.org/10.3952/lithjphys.44401[Crossref]

Identifiers

DOI

10.2478/s11534-013-0215-3