P. O. Hess

Neutrinoless double beta decay in heavy deformed nuclei

Abstract The zero-neutrino mode of the double beta decay in heavy deformed nuclei is investigated in the framework of the pseudo-SU(3) model, which has provided an accurate description of collective nuclear structure and predicted half-lives for the two-neutrino mode in good agreement with experiments. In the case of 238U the calculated zero-neutrino half-life is at least three orders of magnitude greater than the two-neutrino one, giving strong support of the identification of the radiochemically determined half-life as being the two-neutrino double beta decay. For 150Nd the zero-neutrino matrix elements are of the order of magnitude of, but lesser than, those evaluated using the QRPA. This result confirms that different nuclear models produce similar zero-neutrino matrix elements, contrary to the two-neutrino case. Using these pseudo-SU(3) results and the upper limit for the neutrino mass we estimate the ββ0ν half-lives for six nuclei. An upper limit for majoron coupling constant is extracted from the experimental data.

Double-beta decay of 100Mo: The deformed limit.

The double beta decay of

Complete set of states for microscopic nuclear collective models

^{100}Mo

PSEUDO-COMPLEX GENERAL RELATIVITY: SCHWARZSCHILD, REISSNER–NORDSTRÖM AND KERR SOLUTIONS

to the ground state and excited states of

Pseudo-symplectic model for strongly deformed heavy nuclei

^{100}Ru

Shape transitions and shape coexistence in the Ru and Hg chains

is analysed in the context of the pseudo SU(3) scheme. The results of this deformed limit are compared with the vibrational one based on the QRPA formalism. Consistency between the deformed limit and the experimental information is found for various

Collectivity and geometry. II. The two‐dimensional case

\beta\beta

Double-beta decay to excited states in 150Nd

transitions, although, in this approximation some energies and B(E2) intensities cannot reproduced.

Experimental Tests of Pseudo-Complex General Relativity

For several years the authors have been interested in determining complete sets of states for macroscopic nuclear collective models, such as the Bohr–Mottelson one (BM) and the interacting boson approximation (IBA), as well as in their use in nuclear structure calculations. In the present paper we obtain a complete set of states for microscopic nuclear collective models such as those of Vanagas and of Filippov and Smirnov. For calculations in these models, one requires a set of states for the A nucleon system, in appropriate coordinates which include the ones related with collective degrees of freedom. As is customary in nuclear physics, the complete set of states is derived more conveniently if one assumes an oscillator interaction between the nucleons. We obtain explicitly this set of states when A≫1, showing that it can be expressed in terms of wavefunctions whose dependence on the collective coordinates is similar to those appearing in the BM model and in the IBA. We briefly indicate how this set of s...

Single- and double-beta decay Fermi transitions in an exactly solvable model

The pseudo-complex General Relativity (pc-GR) is further considered. A new projection method is proposed. It is shown that the pc-GR introduces automatically terms into the system which can be interpreted as dark energy. The modified pseudo-complex Schwarzschild solution is investigated. The dark energy part is treated as a liquid and possible solutions are discussed. As a consequence, the collapse of a large stellar mass into a singularity at r = 0 is avoided and no event-horizon is formed. Thus, black holes do not exist. The resulting object can be viewed as a gray star. It contains no singularity which emphasizes, again, that it is not a black hole. The corrections implied by a charged large mass object (Reissner–Nordstrom) and a rotating gray star (Kerr) are presented. For the latter, a special solution is presented. Finally, we will consider the orbital speed of a mass in a circular orbit and suggest a possible experimental verification.