On the Hypothesis of Exact Conservation of Charged Weak Hadronic Vector Current in the Standard Model
We investigate the reliability of the conservation of the vector current (CVC) hypothesis in the neutron beta decay (<i>n</i> <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>β</mi&...
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| author | Derar Altarawneh Roman Höllwieser Markus Wellenzohn |
| author_facet | Derar Altarawneh Roman Höllwieser Markus Wellenzohn |
| author_sort | Derar Altarawneh |
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| description | We investigate the reliability of the conservation of the vector current (CVC) hypothesis in the neutron beta decay (<i>n</i> <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>β</mi><mo>−</mo></msup></semantics></math></inline-formula> decay). We calculate the contribution of the phenomenological term, responsible for the CVC in the hadronic current of the <i>n</i> <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>β</mi><mo>−</mo></msup></semantics></math></inline-formula> decay (or the CVC effect), to the neutron lifetime. We show that the CVC effect increases the neutron lifetime with a relative contribution of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>8.684</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula>. This leads to the increase of the neutron lifetime by 76.4 s with respect to the world averaged value <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>τ</mi><mi>n</mi></msub><mo>=</mo><mn>880.2</mn><mrow><mo>(</mo><mn>1.0</mn><mo>)</mo></mrow><mi mathvariant="normal">s</mi></mrow></semantics></math></inline-formula> from the Particle Data Group. We show that since in the Standard Model there are no interactions that are able to cancel such a huge increase in the neutron lifetime, we have to turn to the interactions beyond the Standard Model, the contribution of which to the neutron lifetime reduces to the Fierz interference term <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>b</mi><mi>F</mi></msub></semantics></math></inline-formula> only. Cancelling the CVC effect at the level of the experimental accuracy, we obtain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>b</mi><mi>F</mi></msub><mo>=</mo><mn>0.1219</mn><mrow><mo>(</mo><mn>12</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. If this value cannot be accepted for the Fierz interference term, the CVC effect induces irresistible problems for description and understanding of the <i>n</i> <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>β</mi><mo>−</mo></msup></semantics></math></inline-formula> decay. |
| format | Article |
| id | doaj-art-1e978f284d2d4fb8b1ce068bea349469 |
| institution | Kabale University |
| issn | 2218-1997 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-1e978f284d2d4fb8b1ce068bea3494692024-12-27T14:57:14ZengMDPI AGUniverse2218-19972024-11-01101243610.3390/universe10120436On the Hypothesis of Exact Conservation of Charged Weak Hadronic Vector Current in the Standard ModelDerar Altarawneh0Roman Höllwieser1Markus Wellenzohn2Department of Applied Physics, Tafila Technical University, Tafila 66110, JordanDepartment of Theoretical Physics, Faculty of Mathematics and Natural Sciences, Wuppertal University, Gaußstraße 20, 42119 Wuppertal, GermanyDepartment of Engineering, Applied Electronics and Technical Informatics, University of Applied Sciences Vienna, FH Campus Wien, 1100 Vienna, AustriaWe investigate the reliability of the conservation of the vector current (CVC) hypothesis in the neutron beta decay (<i>n</i> <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>β</mi><mo>−</mo></msup></semantics></math></inline-formula> decay). We calculate the contribution of the phenomenological term, responsible for the CVC in the hadronic current of the <i>n</i> <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>β</mi><mo>−</mo></msup></semantics></math></inline-formula> decay (or the CVC effect), to the neutron lifetime. We show that the CVC effect increases the neutron lifetime with a relative contribution of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>8.684</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula>. This leads to the increase of the neutron lifetime by 76.4 s with respect to the world averaged value <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>τ</mi><mi>n</mi></msub><mo>=</mo><mn>880.2</mn><mrow><mo>(</mo><mn>1.0</mn><mo>)</mo></mrow><mi mathvariant="normal">s</mi></mrow></semantics></math></inline-formula> from the Particle Data Group. We show that since in the Standard Model there are no interactions that are able to cancel such a huge increase in the neutron lifetime, we have to turn to the interactions beyond the Standard Model, the contribution of which to the neutron lifetime reduces to the Fierz interference term <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>b</mi><mi>F</mi></msub></semantics></math></inline-formula> only. Cancelling the CVC effect at the level of the experimental accuracy, we obtain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>b</mi><mi>F</mi></msub><mo>=</mo><mn>0.1219</mn><mrow><mo>(</mo><mn>12</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. If this value cannot be accepted for the Fierz interference term, the CVC effect induces irresistible problems for description and understanding of the <i>n</i> <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>β</mi><mo>−</mo></msup></semantics></math></inline-formula> decay.https://www.mdpi.com/2218-1997/10/12/436neutron beta decayECVC |
| spellingShingle | Derar Altarawneh Roman Höllwieser Markus Wellenzohn On the Hypothesis of Exact Conservation of Charged Weak Hadronic Vector Current in the Standard Model Universe neutron beta decay ECVC |
| title | On the Hypothesis of Exact Conservation of Charged Weak Hadronic Vector Current in the Standard Model |
| title_full | On the Hypothesis of Exact Conservation of Charged Weak Hadronic Vector Current in the Standard Model |
| title_fullStr | On the Hypothesis of Exact Conservation of Charged Weak Hadronic Vector Current in the Standard Model |
| title_full_unstemmed | On the Hypothesis of Exact Conservation of Charged Weak Hadronic Vector Current in the Standard Model |
| title_short | On the Hypothesis of Exact Conservation of Charged Weak Hadronic Vector Current in the Standard Model |
| title_sort | on the hypothesis of exact conservation of charged weak hadronic vector current in the standard model |
| topic | neutron beta decay ECVC |
| url | https://www.mdpi.com/2218-1997/10/12/436 |
| work_keys_str_mv | AT deraraltarawneh onthehypothesisofexactconservationofchargedweakhadronicvectorcurrentinthestandardmodel AT romanhollwieser onthehypothesisofexactconservationofchargedweakhadronicvectorcurrentinthestandardmodel AT markuswellenzohn onthehypothesisofexactconservationofchargedweakhadronicvectorcurrentinthestandardmodel |