Simple collective model for nuclear chiral mode

Abstract

A simple semi-analytical collective model that takes into account the limitations of the variation interval of the collective variable is suggested to describe the chiral dynamics in triaxial odd−odd nuclei with a fixed particle−hole configuration. The collective Hamiltonian is constructed with the potential energy obtained using the postulated ansatz for the wave function symmetric with respect to chiral transformation. By diagonalizing the collective Hamiltonian the wave functions of the lowest states are obtained and the evolution of the energy splitting of the chiral doublets in transition from chiral vibration to chiral rotation regime is demonstrated.

Graphical abstract

Keywords

collective / model / nuclear / chiral

References

[1] S. Frauendorf , J. Meng . Tilted rotation of triaxial nuclei. Nucl. Phys. A, 1997, 617(2): 131

[2] B. W. Xiong , Y. Y. Wang . Nuclear chiral doublet bands data tables. At. Data Nucl. Data Tables, 2019, 125: 193

[3] J. Meng , S. Q. Zhang . Open problems in understanding the nuclear chirality. J. Phys. G, 2010, 37(6): 064025

[4] K. Starosta , T. Koike . Nuclear chirality, a model and the data. Phys. Scr., 2017, 92(9): 093002

[5] Q. B. Chen , N. Kaiser , U. G. Meißner , J. Meng . Behavior of the collective rotor in nuclear chiral motion. Phys. Rev. C, 2019, 99(6): 064326

[6] Q. B. Chen , N. Kaiser , U. G. Meißner , J. Meng . Static quadrupole moments of nuclear chiral doublet bands. Phys. Lett. B, 2020, 807: 135568

[7] Q. B. Chen , S. Q. Zhang , P. W. Zhao , R. V. Jolos , J. Meng . Collective Hamiltonian for chiral modes. Phys. Rev. C, 2013, 87(2): 024314

[8] K. Starosta , T. Koike , C. J. Chiara , D. B. Fossan , D. R. LaFosse . Chirality in odd–odd triaxial nuclei. Nucl. Phys. A, 2001, 682(1‒4): 375

[9] V. I. Dimitrov , S. Frauendorf , F. Dönau . Chirality of nuclear rotation. Phys. Rev. Lett., 2000, 84(25): 5732

[10] D. Almehed , F. Dönau , S. Frauendorf . Chiral vibrations in the A = 135 region. Phys. Rev. C, 2011, 83(5): 054308

[11] E. V. Mardyban , T. M. Shneidman , E. A. Kolganova , R. V. Jolos , S. G. Zhou . Analytical description of shape transition in nuclear alternating parity bands. Chin. Phys. C, 2018, 42(12): 124104

[12] H.KalkaG.Soff, Supersymmetrie, Teubner Studienbücher, Stuttgart, 1997

[13] F.CooperA.KhareU.Sukhatme, Supersymmetry in Quantum Mechanics, World Scientific, 2004

[14] K. Starosta , T. Koike , C. J. Chiara , D. B. Fossan , D. R. LaFosse , A. A. Hecht , C. W. Beausang , M. A. Caprio , J. R. Cooper , R. Krücken , J. R. Novak , N. V. Zamfir , K. E. Zyromski , D. J. Hartley , D. L. Balabanski , J. Zhang , S. Frauendorf , V. I. Dimitrov . Chiral doublet structures in odd‒odd N = 75 isotones: Chiral vibrations. Phys. Rev. Lett., 2001, 86(6): 971

[15] S. Frauendorf , F. Dönau . Transverse wobbling: A collective mode in odd-A triaxial nuclei. Phys. Rev. C, 2014, 89(1): 014322

[16] Q. B. Chen , S. Q. Zhang , P. W. Zhao , R. V. Jolos , J. Meng . Two-dimensional collective Hamiltonian for chiral and wobbling modes. Phys. Rev. C, 2016, 94(4): 044301

Declarations

The authors declare that they have no competing interests and there are no conflicts.

RIGHTS & PERMISSIONS

2024 Higher Education Press