• V K B Kota

      Articles written in Pramana – Journal of Physics

    • T = 0 versusT = 1 pairing in 0(36) limit of IBM-4 for heavyN = Z nuclei

      V K B Kota

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      In theO(36) limit of the interacting boson model including spin-isospin degrees of freedom (IBM-4), starting with a group chain that preservess andd boson spins and isospins together with a simple mixing hamiltonian, it is shown that the model generates, for heavyN =Z nuclei, even-even to odd-odd staggering in the number ofT = 0 pairs in the ground states for moderate difference in the basicT = 0 andT = 1s-boson pair energies; the staggering disappears when the energy difference is large.

    • O(12) limit and complete classification of symmetry schemes in proton-neutron interacting boson model

      V K B Kota

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      It is shown that the proton-neutron interacting boson model (pnIBM) admits new symmetry limits withO(12) algebra which breakF spin but preserves theFz quantum numberMF. The generators ofO(12) are derived and the quantum numberU ofO(12) for a given boson numberN is determined by identifying the corresponding quasi-spin algebra. TheO(12) algebra generates two symmetry schemes and for both of them, complete classification of the basis states and typical spectra are given. With theO(12) algebra identified, complete classification of pnIBM symmetry limits with goodMF is established.

    • Lie algebra symmetries and quantum phase transitions in nuclei

      V K B Kota

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      In this paper, an overview of some aspects of quantum phase transitions (QPT) in nuclei is given and they are: (i) QPT in interacting boson model ($sd$IBM), (ii) QPT in two-level models, (iii) critical point 𝐸(5) and 𝑋(5) symmetries, (iv) QPT in a simple solvable model with three-body forces. In addition, some open problems are also given.

    • Deformed shell model studies of spectroscopic properties of 64Zn and 64Ni and the positron double beta decay of 64Zn

      R Sahu V K B Kota

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      The spectroscopic properties of 64Zn and 64Ni are calculated within the framework of the deformed shell model (DSM) based on Hartree–Fock states. GXPF1A interaction in 1 $f_{7/2}$, 2$p_{3/2}$, 1$f_{5/2}$ and 2$p_{1/2}$ space with 40Ca as the core is employed. After ensuring that DSM gives good description of the spectroscopic properties of low-lying levels in these two nuclei considered, nuclear transition matrix elements (NTME) for the neutrinoless positron double beta decay (0$\nu \beta^+$ and $0\nu \beta^+$EC) of 64Zn are calculated. The two-neutrino positron double beta decay halflife is also calculated for this nucleus.

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