Nuclear matrix elements of double beta decay from beta decay

Jouni Suhonen

AI summary · arXiv: nucl-th/0412064v1 · nucl-th

Nuclear matrix elements of double beta decay from beta decay

Jouni Suhonen

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The essentials

Study by Jouni Suhonen explores evaluation of nuclear matrix elements (NME) for $2νββ$ and $0νββ$ decay using pnQRPA.
Focus on determining proton-neutron particle-particle interaction parameter, $g_{\rm pp}$.
Results suggest relying solely on experimental half-life of $2νββ$ decay for $g_{\rm pp}$ can be misleading.
Advocates for using data from single beta decay as a more reliable approach.
Research highlights complexities in determining NMEs in double beta decays and importance of considering alternative sources of information.

Key points written by AI: they may contain errors, check them against the paper.

AI-generated keywords: Nuclear matrix elements double beta decay proton-neutron quasiparticle random-phase approximation particle-particle interaction parameter single beta decay

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Original abstract

In the study by Jouni Suhonen, the evaluation of nuclear matrix elements (NME) for two-neutrino double beta ($2νββ$) decay and neutrinoless double beta ($0νββ$) decay is explored using the proton-neutron quasiparticle random-phase approximation (pnQRPA). The focus lies on determining the proton-neutron particle-particle interaction parameter, $g_{\rm pp}$, within this framework. The results show that relying solely on the experimental half-life of $2νββ$ decay to extract a value for $g_{\rm pp}$ can be misleading. Instead, the study advocates for utilizing data from single beta decay as a more reliable approach. This research highlights the complexities involved in accurately determining NMEs in double beta decays and emphasizes the importance of considering alternative sources of information to refine theoretical models in nuclear physics.

Introduction

In recent years, the study of nuclear physics has been greatly advanced by the use of double beta decay processes. These decays involve the transformation of a nucleus into another through the emission of two electrons and two neutrinos ($2νββ$) or without any neutrino emission ($0νββ$). The latter process is particularly interesting as it could provide evidence for lepton number violation, which would have significant implications for our understanding of fundamental particles and their interactions.

One key aspect in studying double beta decays is determining the nuclear matrix elements (NMEs), which are crucial parameters that describe the transition between initial and final states in these processes. In this regard, Jouni Suhonen's research paper explores the evaluation of NMEs for both $2νββ$ and $0νββ$ decays using a theoretical framework known as proton-neutron quasiparticle random-phase approximation (pnQRPA).

Theoretical Framework: pnQRPA

The pnQRPA model has been widely used to calculate NMEs in double beta decays due to its ability to accurately describe nuclear structure effects. This model takes into account both particle-particle and hole-hole interactions between protons and neutrons within a nucleus. However, one crucial parameter that needs to be determined within this framework is the strength of proton-neutron particle-particle interaction ($g_{\rm pp}$).

Determining $g_{\rm pp}$ from Experimental Data

Traditionally, experimental data from $2νββ$ decay half-life measurements have been used to extract a value for $g_{\rm pp}$. However, Suhonen's study highlights that relying solely on this approach can lead to misleading results.

The main reason behind this discrepancy lies in the fact that $g_{\rm pp}$ is not the only parameter that affects the $2νββ$ decay half-life. Other factors, such as nuclear deformation and the strength of particle-hole interactions, also play a significant role in determining this value. Therefore, using data from single beta decays can provide a more accurate determination of $g_{\rm pp}$.

Importance of Single Beta Decay Data

Single beta decays involve the transformation of a nucleus into another through the emission of an electron and an antineutrino ($β^-$) or positron and neutrino ($β^+$). These processes have been extensively studied experimentally, providing valuable data on nuclear structure effects that can be used to refine theoretical models.

Suhonen's study emphasizes that incorporating information from single beta decays into pnQRPA calculations yields more reliable values for $g_{\rm pp}$. This approach takes into account additional parameters that affect NMEs and provides a better understanding of their overall behavior.

Conclusion

In conclusion, Jouni Suhonen's research paper sheds light on the complexities involved in accurately determining NMEs for double beta decays. The study highlights the limitations of relying solely on experimental half-life measurements to extract values for key parameters within theoretical frameworks like pnQRPA.

Instead, Suhonen advocates for utilizing data from single beta decays as a more reliable approach to determine these parameters. Incorporating this information into calculations can lead to improved accuracy in predicting NMEs and ultimately enhance our understanding of double beta decay processes.

This research serves as a reminder that while experimental data plays a crucial role in advancing our knowledge in nuclear physics, it is essential to consider alternative sources of information to refine theoretical models further. As we continue to explore new frontiers in this field, studies like this will undoubtedly contribute significantly towards achieving a deeper understanding of fundamental particles and their interactions.

Created on 16 Nov. 2025

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Nuclear matrix elements of double beta decay from beta decay

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Definitions

Introduction

Theoretical Framework: pnQRPA

Determining $g_{\rm pp}$ from Experimental Data

Importance of Single Beta Decay Data

Conclusion

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