Abstract
Fundamental properties of neutrinos are investigated by studying double beta decays (ββ-decays), while atro-neutrino nucleo-syntheses and astro-neutrino productions are investigated by studying inverse beta decays (inverse β-decays) induced by astro-neutrinos. Neutrino nuclear responses for these ββ and β-decays are crucial for these neutrino studies in nuclei. This reports briefly perspectives on experimental studies of neutrino nuclear responses (square of nuclear matrix element) for ββ-decays and astro-neutrinos by using nuclear and leptonic (muon) charge-exchange reactions
Highlights
Fundamental properties of neutrinos are investigated by studying double beta decays, while atro-neutrino nucleo-syntheses and astro-neutrino productions are investigated by studying inverse beta decays induced by astroneutrinos
Fundamental properties of neutrinos such as the Majorana nature and the neutrino masses, which are beyond the standard electro-weak model, are well investigated by studying neutrinoless double beta decays in nuclei
The ββ nuclear matrix element (NME) M0] and the inverse β-decay NME Mi] are crucial for extracting the effective neutrino-mass of the particle physic interest and the neutrino flux of the astro-physics interest from the experimental ββ rate and the inverse β-decay rate, respectively. They are important to design the ββ and astro-neutrino detectors since the nuclear isotopes used in ββ and astro-neutrino detectors depend on their NMEs [2, 3]
Summary
Fundamental properties of neutrinos such as the Majorana nature and the neutrino masses, which are beyond the standard electro-weak model, are well investigated by studying neutrinoless double beta decays (ββ-decays) in nuclei. The ββ NME M0] and the inverse β-decay NME Mi] are crucial for extracting the effective neutrino-mass of the particle physic interest and the neutrino flux of the astro-physics interest from the experimental ββ rate and the inverse β-decay rate, respectively. They are important to design the ββ and astro-neutrino detectors since the nuclear isotopes used in ββ and astro-neutrino detectors depend on their NMEs [2, 3]. ]-exchange between two neutrons is expressed as Mi0](α) < Tαhi(α) > i with Tα and hi(α) being the α mode transition operator and the neutrino potential for the ββ decay via the ith intermediate state [2, 4, 6, 7]. The transition modes include the allowed F transition, the allowed GT transition, the first-forbidden unique transition, the first forbidden non-unique transition, and so on
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