Relation between the 2νββ and 0νββ nuclear matrix elements

نویسندگان

  • Petr Vogel
  • Fedor Šimkovic
چکیده

A formal relation between the GT part of the nuclear matrix elements M0ν GT of 0νββ decay and the closure matrix elements M2ν cl of 2νββ decay is established. This relation is based on the integral representation of these quantities in terms of their dependence on the distance r between the two nucleons undergoing transformation. We also discuss the difficulties in determining the correct values of the closure 2νββ decay matrix elements.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Test of Physics beyond the Standard Model in Nuclei

The modern theories of Grand Unification (GUT) and supersymmetric (SUSY) extensions of standard model (SM) suppose that the conservation laws of the SM may be violated to some small degree. The nuclei are well-suited as a laboratory to test fundamental symmetries and fundamental interactions like lepton flavor (LF) and lepton number (LN) conservation. A prominent role between experiments lookin...

متن کامل

Nuclear matrix elements of ββ decay from β-decay data

The evaluation of the nuclear matrix elements (NME) of the twoneutrino double beta (2νββ) decay and neutrinoless double beta (0νββ) decay using the proton-neutron quasiparticle random-phase approximation (pnQRPA) is addressed. In particular, the extraction of a proper value of the proton-neutron particle-particle interaction parameter, gpp, of this theory is analyzed in detail. Evidence is show...

متن کامل

Relation between the 0νββ and 2νββ nuclear matrix elements reexamined

We show that the dominant Gamow-Teller part, M GT, of the nuclear matrix element governing the neutrinoless ββ decay is related to the matrix element M cl governing the allowed two-neutrino ββ decay. That relation is revealed when these matrix elements are expressed as functions of the relative distance r between the pair of neutrons that are transformed into a pair of protons in the ββ decay. ...

متن کامل

0νββ and 2νββ nuclear matrix elements, quasiparticle random-phase approximation, and isospin symmetry restoration

Within the quasiparticle random-phase approximation (QRPA) we achieve partial restoration of the isospin symmetry and hence fulfillment of the requirement that the 2νββ Fermi matrix element M F vanishes, as it should, unlike in the previous version of the method. This is accomplished by separating the renormalization parameter gpp of the particle-particle proton-neutron interaction into isovect...

متن کامل

ar X iv : n uc l - th / 0 60 20 04 v 1 1 F eb 2 00 6 Uncertainties in the 0 νββ – decay nuclear matrix elements

The nuclear matrix elements M of the neutrinoless double beta decay (0νββ) of most nuclei with known 2νββ-decay rates are systematically evaluated using the Quasiparticle Random Phase Approximation (QRPA) and Renormalized QRPA (RQRPA). The experimental 2νββ-decay rate is used to adjust the most relevant parameter, the strength of the particle-particle interaction. With such procedure the M valu...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012