Nuclear deformation and neutrinoless double-{beta} decay of {sup 94,96}Zr, {sup 98,100}Mo, {sup 104}Ru, {sup 110}Pd, {sup 128,130}Te, and {sup 150}Nd nuclei within a mechanism involving neutrino mass

Journal Article · Sat Nov 15 00:00:00 EST 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.78.054302· OSTI ID:21199351

Chaturvedi, K ^[1]; Chandra, R ^[1]; Rath, P K ^[1]; Raina, P K ^[2]; Hirsch, J G ^[3]

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1. Department of Physics, University of Lucknow, Lucknow-226007 (India)
2. Department of Physics and Meteorology, IIT Kharagpur, Kharagpur-721302 (India)
3. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, A. P. 70-543, Mexico 04510 D. F. (Mexico)

The ({beta}{sup -}{beta}{sup -}){sub 0{nu}} decay of {sup 94,96}Zr, {sup 98,100}Mo, {sup 104}Ru, {sup 110}Pd, {sup 128,130}Te, and {sup 150}Nd isotopes for the 0{sup +}{yields}0{sup +} transition is studied in the projected Hartree-Fock-Bogoliubov framework. In our earlier work, the reliability of HFB intrinsic wave functions participating in the {beta}{sup -}{beta}{sup -} decay of the above-mentioned nuclei has been established by obtaining an overall agreement between the theoretically calculated spectroscopic properties, namely yrast spectra, reduced B(E2:0{sup +}{yields}2{sup +}) transition probabilities, quadrupole moments Q(2{sup +}), gyromagnetic factors g(2{sup +}) as well as half-lives T{sub 1/2}{sup 2{nu}} for the 0{sup +}{yields}0{sup +} transition and the available experimental data. In the present work, we study the ({beta}{sup -}{beta}{sup -}){sub 0{nu}} decay for the 0{sup +}{yields}0{sup +} transition in a mechanism involving neutrino mass and extract limits on effective mass of light as well as heavy neutrinos from the observed half-lives T{sub 1/2}{sup 0{nu}}(0{sup +}{yields}0{sup +}) using nuclear transition matrix elements calculated with the same set of wave functions. Further, the effect of deformation on the nuclear transition matrix elements required to study the ({beta}{sup -}{beta}{sup -}){sub 0{nu}} decay in such a mass mechanism is investigated. It is noticed that the deformation effect on nuclear transition matrix elements is of approximately the same magnitude in ({beta}{sup -}{beta}{sup -}){sub 2{nu}} and ({beta}{sup -}{beta}{sup -}){sub 0{nu}} decay.

• OSTI ID: 21199351
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 78, Issue 5; Other Information: DOI: 10.1103/PhysRevC.78.054302; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DOUBLE BETA DECAY
EFFECTIVE MASS
HALF-LIFE
HARTREE-FOCK-BOGOLYUBOV THEORY
MATRIX ELEMENTS
MOLYBDENUM 100
MOLYBDENUM 98
NEODYMIUM 150
NEUTRINOS
NUCLEAR DEFORMATION
PALLADIUM 110
PROBABILITY
QUADRUPOLE MOMENTS
RUTHENIUM 104
SPECTRA
TELLURIUM 128
TELLURIUM 130
WAVE FUNCTIONS
ZIRCONIUM 94
ZIRCONIUM 96