Nuclear density dependence of polarization transfer in quasi-elastic <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>A</mi><mo>(</mo><mover accent="true"><mi>e</mi><mo>⃗</mo></mover><mo>,</mo><msup><mi>e</mi><mo>′</mo></msup><mover accent="true"><mi>p</mi><mo>⃗</mo></mover><mo>)</mo></mrow></math> reactions

A1 Collaboration; T. Kolar; W. Cosyn; C. Giusti; P. Achenbach; A. Ashkenazi; R. Böhm; D. Bosnar; T. Brecelj; M. Christmann; E. O. Cohen; M. O. Distler; L. Doria; P. Eckert; A. Esser; J. Geimer; R. Gilman; P. Gülker; M. Hoek; D. Izraeli; S. Kegel; P. Klag; I. Korover; J. Lichtenstadt; M. Littich; T. Manoussos; I. Mardor; D. Markus; H. Merkel; M. Mihovilovič; J. Müller; U. Müller; M. Olivenboim; J. Pätschke; S. J. Paul; E. Piasetzky; S. Plura; J. Pochodzalla; M. Požun; G. Ron; B. S. Schlimme; M. Schoth; F. Schulz; C. Sfienti; S. Širca; R. Spreckels; S. Štajner; S. Stengel; E. Stephan; Y. Stöttinger; S. Strauch; C. Szyszka; M. Thiel; A. Weber; A. Wilczek; I. Yaron

doi:10.1103/PhysRevC.110.L061302

Letter

Nuclear density dependence of polarization transfer in quasi-elastic $A (\vec{e}, e^{'} \vec{p})$ reactions

T. Kolar ^1,*, W. Cosyn², C. Giusti³, P. Achenbach^4,†, A. Ashkenazi¹, R. Böhm⁴, D. Bosnar⁵, T. Brecelj⁶, M. Christmann⁴ et al. (A1 Collaboration)

M. Christmann⁴, E. O. Cohen^1,‡, M. O. Distler⁴, L. Doria⁴, P. Eckert⁴, A. Esser⁴, J. Geimer⁴, R. Gilman⁷, P. Gülker⁴, M. Hoek⁴, D. Izraeli¹, S. Kegel⁴, P. Klag⁴, I. Korover^1,§, J. Lichtenstadt¹, M. Littich⁴, T. Manoussos⁴, I. Mardor^1,8, D. Markus⁴, H. Merkel⁴, M. Mihovilovič^9,6,4, J. Müller⁴, U. Müller⁴, M. Olivenboim¹, J. Pätschke⁴, S. J. Paul¹⁰, E. Piasetzky¹, S. Plura⁴, J. Pochodzalla⁴, M. Požun⁶, G. Ron¹¹, B. S. Schlimme⁴, M. Schoth⁴, F. Schulz⁴, C. Sfienti⁴, S. Širca^9,6, R. Spreckels⁴, S. Štajner⁶, S. Stengel⁴, E. Stephan¹², Y. Stöttinger⁴, S. Strauch¹³, C. Szyszka⁴, M. Thiel⁴, A. Weber⁴, A. Wilczek¹², and I. Yaron¹ (A1 Collaboration)

¹School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
²Florida International University, Miami, Florida 33199, USA
³INFN, Sezione di Pavia, via A. Bassi 6, I-27100 Pavia, Italy
⁴Institut für Kernphysik, Johannes Gutenberg-Universität, 55099 Mainz, Germany
⁵Department of Physics, Faculty of Science, University of Zagreb, HR-10000 Zagreb, Croatia
⁶Jožef Stefan Institute, 1000 Ljubljana, Slovenia
⁷Rutgers, The State University of New Jersey, Piscataway, New Jersey 08855, USA
⁸Soreq NRC, Yavne 81800, Israel
⁹Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
¹⁰Department of Physics and Astronomy, University of California, Riverside, California 92521, USA
¹¹Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
¹²Institute of Physics, University of Silesia in Katowice, 41-500 Chorzów, Poland
¹³University of South Carolina, Columbia, South Carolina 29208, USA

^*Contact author: tkolar@mail.tau.ac.il
^†Present address: Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USA.
^‡Also at Soreq NRC, Yavne 81800, Israel.
^§Also at Department of Physics, NRCN, P.O. Box 9001, Beer-Sheva 84190, Israel.

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Phys. Rev. C 110, L061302 – Published 12 December, 2024

DOI: https://doi.org/10.1103/PhysRevC.110.L061302

Abstract

The ratio of the transverse and longitudinal components of polarization transfer to protons in the quasielastic $(\vec{e}, e^{'} \vec{p})$ reaction, $P_{x}^{'} / P_{z}^{'}$ , is sensitive to the proton's electromagnetic form factor ratio, $G_{E} / G_{M}$ . To explore density-dependent in-medium modifications, a comparison of polarization transfer ratios involving protons from distinct nuclear shells, each with different local nuclear densities, has been proposed. In this study, we present such comparisons between four shells, $1 s_{1 / 2}, 1 p_{3 / 2}$ in ${}^{12}C$ and $1 d_{3 / 2}, 2 s_{1 / 2}$ in ${}^{40}{Ca}$ . In an effort to account for other many-body effects that may differ between shells, we use a state-of-the-art relativistic distorted-wave impulse-approximation (RDWIA) calculation and present the double ratios ${(P_{x}^{'} / P_{z}^{'})}_{Data} / {(P_{x}^{'} / P_{z}^{'})}_{RDWIA}$ as well as the super-ratios ${[{(P_{x}^{'} / P_{z}^{'})}_{A} / {(P_{x}^{'} / P_{z}^{'})}_{B}]}_{Data} / {[{(P_{x}^{'} / P_{z}^{'})}_{A} / {(P_{x}^{'} / P_{z}^{'})}_{B}]}_{RDWIA}$ , for chosen shells A and B, as a function of effective local nuclear densities. We find that double ratios for individual shells show a dependence on the probed effective nuclear densities. Studying the super-ratios, we observed a systematic variation between pairs of higher- and lower-density shells.

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Nuclear density dependence of polarization transfer in quasi-elastic $A (\vec{e}, e^{'} \vec{p})$ reactions

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Nuclear density dependence of polarization transfer in quasi-elastic A(e⃗,e′p⃗) reactions

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Nuclear density dependence of polarization transfer in quasi-elastic $A (\vec{e}, e^{'} \vec{p})$ reactions